Page No 113:
Table of Contents
Exercise 7A
Question 1:
Write each of the following in figures:
(i) Fifty-eight point six three
(ii) One hundred twenty four point four two five
(iii) Seven point seven six
(iv) Nineteen point eight
(v) Four hundred four point zero four four
(vi) Point one seven three
(vii) Point zero one five
ANSWER:
(i) 58.63
(ii) 124.425
(iii) 7.76
(iv) 19.8
(v) 404.044
(vi) 0.173
(vii) 0.015
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Question 2:
Write the place value of each digit in each of the following decimals:
(i) 14.83
(ii) 275.269
(iii) 46.075
(iv) 302.459
(v) 5370.34
(vi) 186.209
ANSWER:
(i) In 14.83, we have:
Place value of 1 = 1 tens = 10
Place value of 4 = 4 ones = 4
Place value of 8 = 8 tenths = 810810
Place value of 3 = 3 hundredths = 31003100
(ii) In 275.269, we have:
Place value of 2 = 2 hundreds = 200
Place value of 7 = 7 tens = 70
Place value of 5 = 5 ones = 5
Place value of 2 = 2 tenths = 210210
Place value of 6 = 6 hundredths = 61006100
Place value of 9 = 9 thousandths = 9100091000
(iii) In 46.075, we have:
Place value of 4 = 4 tens = 40
Place value of 6 = 6 ones = 6
Place value of 0 = 0 tenths = 010010= 0
Place value of 7 = 7 hundredths = 71007100
Place value of 5 = 5 thousandths = 5100051000
(iv) In 302.459, we have:
Place value of 3 = 3 hundreds = 300
Place value of 0 = 0 tens = 0
Place value of 2 = 2 ones = 2
Place value of 4 = 4 tenths = 410410
Place value of 5 = 5 hundredths = 51005100
Place value of 9 = 9 thousandths = 9100091000
(v) In 5370.34, we have:
Place value of 5 = 5 thousands = 5000
Place value of 3 = 3 hundreds = 300
Place value of 7 = 7 tens = 70
Place value of 0 = 0 ones = 0
Place value of 3 = 3 tenths = 310310
Place value of 4 = 4 hundredths = 41004100
(vi) In 186.209, we have:
Place value of 1 = 1 hundreds = 100
Place value of 8 = 8 tens = 80
Place value of 6 = 6 ones = 6
Place value of 2 = 2 tenths = 210210
Place value of 0 = 0 hundredths = 0
Place value of 9 = 9 thousandths = 9100091000
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Question 3:
Write each of the following decimals in expanded form:
(i) 67.83
(ii) 283.61
(iii) 24.675
(iv) 0.294
(v) 8.006
(vi) 4615.72
ANSWER:
(i) 67.83
= 6 tens + 7 ones + 8 tenths + 3 hundredths
= 60 + 7 + 810 + 310060 + 7 + 810 + 3100
(ii) 283.61
= 2 hundreds + 8 tens + 3 ones + 6 tenths + 1 hundredths
= 200 + 80 + 3 + 610 + 1100200 + 80 + 3 + 610 + 1100
(iii) 24.675
= 2 tens + 4 ones + 6 tenths + 7 hundredths + 5 thousandths
= 20 + 4 + 610 + 7100 + 5100020 + 4 + 610 + 7100 + 51000
(iv) 0.294
= 2 tenths + 9 hundredths + 4 thousandths
= 210 + 9100 + 41000210 + 9100 + 41000
(v) 8.006
= 8 ones + 0 tenths + 0 hundredths + 6 thousandths
= 8 + 010 + 0100 + 610008 + 010 + 0100 + 61000
(vi) 4615.72
= 4 thousands + 6 hundreds + 1 tens + 5 ones + 7 tenths + 2 hundredths
= 4000 + 600 + 10 + 5 + 710 + 21004000 + 600 + 10 + 5 + 710 + 2100
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Question 4:
Write each of the following in decimals form:
(i) 40 + 6 + 710 + 910040 + 6 + 710 + 9100
(ii) 500 + 70 + 8 + 310 + 1100 + 61000500 + 70 + 8 + 310 + 1100 + 61000
(iii) 700 + 30 + 1 + 810 + 4100700 + 30 + 1 + 810 + 4100
(iv) 600 + 5 + 7100 + 91000600 + 5 + 7100 + 91000
(v) 800 + 5 + 810 + 61000800 + 5 + 810 + 61000
(vi) 30 + 9 + 4100 + 8100030 + 9 + 4100 + 81000
ANSWER:
(i) 40 + 6 + 710 + 910040 + 6 + 710 + 9100 = 46 + 0.7 + .09 = 46.79
(ii) 500 + 70 + 8 + 310 + 1100 + 61000500 + 70 + 8 + 310 + 1100 + 61000 = 578 + 0.3 + 0.01 + 0.006 = 578.316
(iii) 700 + 30 + 1 + 810 + 4100700 + 30 + 1 + 810 + 4100 = 731 + 0.8 + 0.04 = 731.84
(iv) 600 + 5 + 7100 + 91000600 + 5 + 7100 + 91000 = 605 + 0.07 + 0.009 = 605.079
(v) 800 + 5 + 810 + 61000800 + 5 + 810 + 61000 = 805 + 0.8 + 0.006 = 805.806
(vi) 30 + 9 + 4100 + 8100030 + 9 + 4100 + 81000 = 39 + 0.04 + 0.008 = 39.048
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Question 5:
Convert each of the following into like decimals:
(i) 7.5, 64.23, 0.074
(ii) 0.6, 5.937, 2.36, 4.2
(iii) 1.6, 0.07, 3.58, 2.9
(iv) 2.5, 0.63, 14.08, 1.637
ANSWER:
(i) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
7.5 = 7.500
64.23 = 64.230
0.074 = 0.074
(ii) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
0.6 = 0.600
5.937 = 5.937
2.36 = 2.360
4.2 = 4.200
(iii) Each of the numbers has maximum 2 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
1.6 = 1.60
0.07 = 0.07
3.58 = 3.58
2.9 = 2.90
(iv) Each of the numbers has maximum 3 decimal places. So, we convert them into numbers having three decimal places by annexing suitable number of zeroes to the extreme right of the decimal part.
2.5 = 2.500
0.63 = 0.630
14.08 = 14.080
1.637 = 1.637
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Question 6:
Fill in each of the place holders with the correct symbol > or <:
(i) 84.23 76.3584.23 76.35
(ii) 7.608 7.687.608 7.68
(iii) 8.34 8.438.34 8.43
(iv) 12.06 12.00612.06 12.006
(v) 3.85 3.8053.85 3.805
(vi) 0.97 1.070.97 1.07
ANSWER:
(i) 84.23 > 76.35
Since 84 is greater than 76, 84.23 is greater than 76.35. (Comparing the whole number parts)
(ii) 7.608 < 7.680
Since 8 is greater than 0 at the hundredths place, 7.608 is smaller than 7.680.
(iii) 8.34 < 8.43
Since 4 is greater than 3 at the tenths place, 8.34 is smaller than 8.43.
(iv) 12.06 > 12.006
Since 6 is greater than 0 at the hundredths place, 12.06 is greater than 12.006.
(v) 3.850 > 3.805
Since 5 is greater than 0 at the hundredths place, 3.850 is greater than 3.805.
(vi) 0.97 < 1.07
Since 1 is greater than 0, 0.97 is smaller than 1.07. (Comparing the whole number parts)
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Question 7:
Arrange the following decimals in ascending order:
(i) 5.8, 7.2, 5.69, 7.14, 5.06
(ii) 0.6, 6.6, 6.06, 66.6, 0.06
(iii) 6.54, 6.45, 6.4, 6.5, 6.05
(iv) 3.3, 3.303, 3.033, 0.33, 3.003
ANSWER:
(i) 5.8, 7.2, 5.69, 7.14, 5.06
Converting the given decimals into like decimals:
5.80, 7.20, 5.69, 7.14, 5.06
Clearly, 5.06 < 5.69 < 5.80 < 7.14 < 7.20
Hence, the given decimals can be arranged in the ascending order as follows:
5.06, 5.69, 5.80, 7.14 and 7.2
(ii) 0.6, 6.6, 6.06, 66.6, 0.06
Converting the given decimals into like decimals:
0.60, 6.60, 6.06, 66.60, 0.06
Clearly, 0.06 < 0.60 < 6.06 < 6.60 < 66.60
Hence, the given decimals can be arranged in the ascending order as follows:
0.06, 0.60, 6.06, 6.60 and 66.60
(iii) 6.54, 6.45, 6.4, 6.5, 6.05
Converting the given decimals into like decimals:
6.54, 6.45, 6.40, 6.50, 6.05
Clearly, 6.05 < 6.40 < 6.45 < 6.50 < 6.54
Hence, the given decimals can be arranged in the ascending order as follows:
6.05, 6.40, 6.45, 6.50 and 6.54
(iv) 3.3, 3.303, 3.033, 0.33, 3.003
Converting the given decimals into like decimals:
3.300, 3.303, 3.033, 0.330, 3.003
Clearly, 0.330 < 3.003 < 3.033 < 3.300 < 3.303
Hence, the given decimals can be arranged in the ascending order as follows:
0.33, 3.003, 3.033, 3.300 and 3.303
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Question 8:
Arrange the following decimals in descending order:
(i) 7.3, 8.73, 73.03, 7.33, 8.073
(ii) 3.3, 3.03, 30.3, 30.03, 3.003
(iii) 2.7, 7.2, 2.27, 2.72, 2.02, 2.007
(iv) 8.88, 8.088, 88.8, 88.08, 8.008
ANSWER:
(i) 7.3, 8.73, 73.03, 7.33, 8.073
Converting each decimal into like decimals:
7.300, 8.730, 73.030, 7.330, 8.073
Clearly, 73.030 > 8.730 > 8.073 > 7.330 > 7.300
Hence, the given decimals can be arranged in the descending order as follows:
73.03, 8.73, 8.073, 7.33 and 7.3
(ii) 3.3, 3.03, 30.3, 30.03, 3.003
Converting each decimal into like decimals:
3.300, 3.030, 30.300, 30.030, 3.003
Clearly, 30.300 > 30.030 > 3.300 > 3.030 > 3.003
Hence, the given decimals can be arranged in the descending order as follows:
30.3, 30.03, 3.3, 3.03 and 3.003
(iii) 2.7, 7.2, 2.27, 2.72, 2.02, 2.007
Converting each decimal into like decimals:
2.700, 7.200, 2.270, 2.720, 2.020, 2.007
Clearly, 7.200 > 2.720 > 2.700 > 2.270 > 2.020 > 2.007
Hence, the given decimals can be arranged in the descending order as follows:
7.2, 2.72, 2.7, 2.27, 2.02 and 2.007
(iv) 8.88, 8.088, 88.8, 88.08, 8.008
Converting each decimal into like decimals:
8.880, 8.088, 88.800, 88.080, 8.008
Clearly, 88.800 > 88.080 > 8.880 > 8.088 > 8.008
Hence, the given decimals can be arranged in the descending order as follows:
88.8, 88.08, 8.88, 8.088 and 8.008
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Exercise 7B
Question 1:
Convert each of the following into a fraction in its simplest form:
.9
ANSWER:
We have:
.9 = 910910
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Question 2:
Convert each of the following into a fraction in its simplest form:
0.6
ANSWER:
We have:
0.6 = 610 = 35610 = 35
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Question 3:
Convert each of the following into a fraction in its simplest form:
.08
ANSWER:
We have:
0.08 = 8100 = 450 = 2258100 = 450 = 225
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Question 4:
Convert each of the following into a fraction in its simplest form:
0.15
ANSWER:
We have:
0.15 = 15100 = 32015100 = 320
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Question 5:
Convert each of the following into a fraction in its simplest form:
0.48
ANSWER:
We have:
0.48 = 48100 = 122548100 = 1225
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Question 6:
Convert each of the following into a fraction in its simplest form:
.053
ANSWER:
We have:
0.053 = 531000 531000
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Question 7:
Convert each of the following into a fraction in its simplest form:
0.125
ANSWER:
We have:
0.125 = 1251000 = 25200 =540= 181251000 = 25200 =540= 18
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Question 8:
Convert each of the following into a fraction in its simplest form:
.224
ANSWER:
We have:
0.224 = 2241000 = 56250 = 281252241000 = 56250 = 28125
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Question 9:
Convert each of the following as a mixed-fraction:
6.4
ANSWER:
We have:
6.4 = 6410 = 325 = 6256410 = 325 = 625
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Question 10:
Convert each of the following as a mixed-fraction:
16.5
ANSWER:
We have:
16.5 = 16510 = 332 =161216510 = 332 =1612
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Question 11:
Convert each of the following as a mixed-fraction:
8.36
ANSWER:
We have:
8.36 = 836100 = 20925 = 8925836100 = 20925 = 8925
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Question 12:
Convert each of the following as a mixed-fraction:
4.275
ANSWER:
We have:
4.275 = 42751000 = 17140 = 4114042751000 = 17140 = 41140
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Question 13:
Convert each of the following as a mixed-fraction:
25.06
ANSWER:
We have:
25.06 = 2506100 = 125350 =253502506100 = 125350 =25350
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Question 14:
Convert each of the following as a mixed-fraction:
7.004
ANSWER:
We have:
7.004 = 70041000 = 1751250 = 7125070041000 = 1751250 = 71250
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Question 15:
Convert each of the following as a mixed-fraction:
2.052
ANSWER:
We have:
2.052 = 20521000 = 513250 = 21325020521000 = 513250 = 213250
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Question 16:
Convert each of the following as a mixed-fraction:
3.108
ANSWER:
We have:
3.108 = 31081000 = 777250 = 32725031081000 = 777250 = 327250
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Question 17:
Convert each of the following into a decimal:
23102310
ANSWER:
We have:
2310 = 2310 = 2 + 0.3 = 2.32310 = 2310 = 2 + 0.3 = 2.3
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Question 18:
Convert each of the following into a decimal:
167100167100
ANSWER:
We have:
167100 = 167100 = 1 + 0.67 = 1.67167100 = 167100 = 1 + 0.67 = 1.67
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Question 19:
Convert each of the following into a decimal:
15891001589100
ANSWER:
We have:
1589100 = 1589100 = 15+ 0.89 = 15.891589100 = 1589100 = 15+ 0.89 = 15.89
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Question 20:
Convert each of the following into a decimal:
5413100054131000
ANSWER:
We have:
54131000 = 54131000 = 5 + 0.413 = 5.41354131000 = 54131000 = 5 + 0.413 = 5.413
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Question 21:
Convert each of the following into a decimal:
214151000214151000
ANSWER:
We have:
214151000 = 214151000 = 21 + 0.415 = 21.415214151000 = 214151000 = 21 + 0.415 = 21.415
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Question 22:
Convert each of the following into a decimal:
254254
ANSWER:
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We have:
254 = 614 = 6 + 0.25 = 6.25254 = 614 = 6 + 0.25 = 6.25
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Question 23:
Convert each of the following into a decimal:
335335
ANSWER:
We have:
335= 3 + 0.6 = 3.6335= 3 + 0.6 = 3.6
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Question 24:
Convert each of the following into a decimal:
14251425
ANSWER:
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We have:
1425 = 1 + 0.16 = 1.16 1425 = 1 + 0.16 = 1.16
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Question 25:
Convert each of the following into a decimal:
5175051750
ANSWER:
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We have:
51750 = 5 + 0.34 = 5.3451750 = 5 + 0.34 = 5.34
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Question 26:
Convert each of the following into a decimal:
12381238
ANSWER:
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We have:
1238 = 12 + 0.375 = 12.3751238 = 12 + 0.375 = 12.375
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Question 27:
Convert each of the following into a decimal:
2194021940
ANSWER:
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We have:
21940 = 2 + 0.475 = 2.47521940 = 2 + 0.475 = 2.475
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Question 28:
Convert each of the following into a decimal:
19201920
ANSWER:
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We have:
1920 = 0.951920 = 0.95
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Question 29:
Convert each of the following into a decimal:
37503750
ANSWER:
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We have:
3750 = 0.743750 = 0.74
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Question 30:
Convert each of the following into a decimal:
107250107250
ANSWER:
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We have:
107250 = 0.428107250 = 0.428
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Question 31:
Convert each of the following into a decimal:
340340
ANSWER:
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We have:
340 = 0.075340 = 0.075
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Question 32:
Convert each of the following into a decimal:
7878
ANSWER:
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We have:
78 = 0.87578 = 0.875
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Question 33:
Using decimals, express
(i) 8 kg 640 g in kilograms
(ii) 9 kg 37 g in kilograms
(iii) 6 kg 8 g in kilograms
ANSWER:
(i) 8 kg 640 g in kilograms:
8 kg + 640 gm = 8 kg + 64010006401000 kg
8 kg + 0.640 kg = 8.640 kg
(ii) 9 kg 37 g in kilograms:
9 kg + 37 gm = 9 kg + 371000371000 kg
9 kg + 0.037 kg = 9.037 kg
(iii) 6 kg 8 g in kilograms:
6 kg + 8 gm = 6 kg + 8100081000 kg
6 kg + 0.008 kg = 6.008 kg
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Question 34:
Using decimals, express
(i) 4 km 365 m in kilometres
(ii) 5 km 87 m in kilometres
(iii) 3 km 6 m in kilometres
(iv) 270 m in kilometres
(v) 35 m in kilometres
(vi) 6 m in kilometres
ANSWER:
(i) 4 km 365 m in kilometres:
4 km + 365 m = 4 km + 36510003651000 km [Since 1 km = 1000 m]
4 km + 0.365 km = 4.365 km
(ii) 5 km 87 m in kilometres:
5 km + 87 m = 5 km + 871000871000 km [Since 1 km = 1000 m]
5 km + 0.087 km = 5.087 km
(iii) 3 km 6 m in kilometres:
3 km + 6 m = 3 km + 6100061000 km [Since 1 km = 1000 m]
3 km + 0.006 km = 3.006 km
(iv) 270 m in kilometres:
27010002701000 km = 0.270 km [Since 1 km = 1000 m]
(v) 35 m in kilometres:
351000351000 km = 0.035 km [Since 1 km = 1000 m]
(vi) 6 m in kilometres:
6100061000 km = 0.006 km [Since 1 km = 1000 m]
Page No 118:
Question 35:
Using decimals, express
(i) 15 kg 850 g in kilograms
(ii) 8 kg 96 g in kilograms
(iii) 540 g in kilograms
(iv) 8 g in kilograms
ANSWER:
(i) 15 kg 850 g in kilograms:
15 kg + 850 gm = 15 kg + 85010008501000 kg [Since 1 kg = 1000 gm]
15 kg + 0.850 kg = 15.850 kg
(ii) 8 kg 96 g in kilograms:
8 kg + 96 gm = 8 kg + 961000 961000 kg [Since 1 kg = 1000 gm]
8 kg + 0.096 kg = 8.096 kg
(iii) 540 g in kilograms:
540 gm = 54010005401000 kg = 0.540 kg [Since 1 kg = 1000 gm]
(iv) 8 g in kilograms:
8 gm = 8100081000 kg = 0.008 kg [Since 1 kg = 1000 gm]
Page No 118:
Question 36:
Using decimals, express
(i) Rs 18 and 25 paise in rupees
(ii) Rs 9 and 8 paise in rupees
(iii) 32 paise in rupees
(iv) 5 paise in rupees
ANSWER:
(i) Rs 18 and 25 paise in rupees:
Rs 18 + 25 paise = Rs 18 + Rs 2510025100 [Since Re 1 = 100 paise]
Rs 18 + Rs 0.25 = Rs 18.25
(ii) Rs 9 and 8 paise in rupees:
Rs 9 + 8 paise = Rs 9 + Rs 81008100 [Since Re 1 = 100 paise]
Rs 9 + Rs 0.08 = Rs 9.08
(iii) 32 paise in rupees:
32 paise = Rs 3210032100 = Rs 0.32 [Since Re 1 = 100 paise]
(iv) 5 paise in rupees:
5 paise = Rs 51005100 = Rs 0.05 [Since Re 1 = 100 paise]
Page No 120:
Exercise 7C
Question 1:
Add the following decimals:
9.6, 14.8, 37 and 5.9
ANSWER:
9.6, 14.8, 37 and 5.9
Converting the decimals into like decimals:
9.6, 14.8, 37.0 and 5.9
Let us write the given numbers in the column form.
Now, adding:
9.6
14.8
37.0
5.9
67.3
Hence, the sum of the given numbers is 67.3.
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Question 2:
Add the following decimals:
23.7, 106.94, 68.9 and 29.5
ANSWER:
23.7, 106.94, 68.9 and 29.5
Converting the decimals into like decimals:
23.70, 106.94, 68.90 and 29.50
Let us write the given numbers in the column form.
Now, adding:
23.70
106.94
68.90
29.50
229.04
Hence, the sum of the given numbers is 229.04.
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Question 3:
Add the following decimals:
72.8, 7.68, 16.23 and 0.7
ANSWER:
72.8, 7.68, 16.23 and 0.7
Converting the decimals into like decimals:
72.80, 7.68, 16.23 and 0.70
Let us write the given numbers in the column form.
Now, adding:
72.80
7.68
16.23
0.70
97.41
Hence, the sum of the given numbers is 97.41.
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Question 4:
Add the following decimals:
18.6, 84.75, 8.345 and 9.7
ANSWER:
18.6, 84.75, 8.345 and 9.7
Converting the decimals into like decimals:
18.600, 84.750, 8.345 and 9.700
Let us write the given numbers in the column form.
Now, adding:
18.600
84.750
8.345
9.700
121.395
Hence, the sum of the given numbers is 121.395.
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Question 5:
Add the following decimals:
8.236, 16.064, 63.8 and 27.53
ANSWER:
8.236, 16.064, 63.8 and 27.53
Converting the decimals into like decimals:
8.236, 16.064, 63.800 and 27.530
Let us write the given numbers in the column form.
Now, adding:
8.236
16.064
63.800
27.530
115.630
Hence, the sum of the given numbers is 115.630.
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Question 6:
Add the following decimals:
28.9, 19.64, 123.697 and 0.354
ANSWER:
28.9, 19.64, 123.697 and 0.354
Converting the decimals into like decimals:
28.900, 19.640, 123.697 and 0.354
Let us write the given numbers in the column form.
Now, adding:
28.900
19.640
123.697
0.354
172.591
Hence, the sum of the given numbers is 172.591.
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Question 7:
Add the following decimals:
4.37, 9.638, 17.007 and 6.8
ANSWER:
4.37, 9.638, 17.007 and 6.8
Converting the decimals into like decimals:
4.370, 9.638, 17.007 and 6.800
Let us write the given numbers in the column form.
Now, adding:
4.370
9.683
17.007
6.800
37.815
Hence, the sum of the given numbers is 37.815.
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Question 8:
Add the following decimals:
14.5, 0.038, 118.573 and 6.84
ANSWER:
14.5, 0.038, 118.573 and 6.84
Converting the decimals into like decimals:
14.500, 0.038, 118.573 and 6.840
Let us write the given numbers in the column form.
Now, adding:
14.500
0.038
118.573
6.840
139.951
Hence, the sum of the given numbers is 139.951.
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Question 9:
During three days of a week, a rickshaw puller earns Rs 32.60, Rs 56.80 and Rs 72 respectively. What is his total earning during these days?
ANSWER:
Earning on the 1st day of the week = Rs 32.60
Earning on the 2nd day of the week = Rs 56.80
Earning on the 3rd day of the week = Rs 72.00
Total earning = Rs 161.40
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Question 10:
A man purchases an almirah for Rs 11025, gives Rs 172.50 as its cartage and spends Rs 64.80 on its repair. How much does the almirah cost him?
ANSWER:
Cost of the almirah = Rs 11025.00
Money spent on cartage = Rs 172.50
Money spent on repair = Rs 64.800
Total cost of the almirah = Rs 11262.3
Page No 120:
Question 11:
Ramesh covers 36 km 235 m by taxi, 4 km 85 m by rickshaw and 1 km 80 m on foot What is the total distance covered by him?
ANSWER:
Distance covered by the taxi = 36 km 235 m
Distance covered by the rickshaw = 4 km 085 m
Distance covered on foot = 1 km 080 m
Total distance covered = 41 km 400 m
Page No 120:
Question 12:
A bag contains 45 kg 80 g of sugar and the mass of the empty bag is 950 g. What is the mass of the bag containing this much of sugar?
ANSWER:
Weight of sugar in the bag = 45 kg 080 g
Weight of the empty bag = 0 kg 950 g
Total weight of the bag = 46 kg 030 g
Page No 120:
Question 13:
Ramu bought 2 m 70 cm cloth for his shirt and 2 m 60 cm cloth for his pyjamas. Find the total length of cloth bought by him.
ANSWER:
Length of cloth for his shirt = 2 m 70 cm
Length of cloth for his pyjamas = 2 m 60 cm
Total length of cloth bought = 5 m 30 cm
Page No 120:
Question 14:
Radhika bought 2 m 5 cm cloth for her salwar and 3 m 35 cm cloth for her shirt. Find the total length of cloth bought by her.
ANSWER:
Length of cloth for her salwar = 2 m 05 cm
Length of cloth for her shirt = 3 m 35 cm
Total length of cloth bought = 5 m 40 cm
Page No 122:
Question 1:
Exercise 7D
Subtract:
27.86 from 53.74
ANSWER:
Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
53.74
– 27.86
25.88
∴∴ 53.74 – 27.86 = 25.88
Page No 122:
Question 2:
Subtract:
64.98 from 103.87
ANSWER:
Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
103.87
– 64.98
38.89
∴∴ 103.87 – 64.98 = 38.89
Page No 122:
Question 3:
Subtract:
59.63 from 92.4
ANSWER:
Converting the given numbers into like decimals:
59.63 and 92.40
Let us write them in the column form with the larger number at the top.
Now, subtracting:
92.40
– 59.63
32.77
∴∴ 53.74 – 27.86 = 32.77
Page No 122:
Question 4:
Subtract:
56.8 from 204
ANSWER:
Converting the given numbers into like decimals:
56.80 and 204.00
Let us write them in the column form with the larger number at the top.
Now, subtracting:
204.00
– 56.80
147.2
∴∴ 204.00 – 56.80 = 147.2
Page No 122:
Question 5:
Subtract:
127.38 from 216.2
ANSWER:
Converting the given numbers into like decimals:
127.38 and 216.20
Let us write them in the column form with the larger number at the top.
Now, subtracting:
216.20
– 127.38
88.82
∴∴ 216.20 – 127.38 = 88.82
Page No 122:
Question 6:
Subtract:
39.875 from 70.68
ANSWER:
Converting the given numbers into like decimals:
39.875 and 70.680
Let us write them in the column form with the larger number at the top.
Now, subtracting:
70.680
– 39.875
30.805
∴∴ 70.680 – 39.875 = 30.805
Page No 122:
Question 7:
Subtract:
348.237 from 523.12
ANSWER:
Converting the given numbers into like decimals:
348.237 and 523.120
Let us write them in the column form with the larger number at the top.
Now, subtracting:
523.120
– 348.237
174.883
∴∴ 523.120 – 348.237 = 174.883
Page No 122:
Question 8:
Subtract:
458.573 from 600
ANSWER:
Converting the given numbers into like decimals:
458.573 and 600.000
Let us write them in the column form with the larger number at the top.
Now, subtracting:
600.000
– 458.573
141.427
∴∴ 600.000 – 458.573 =141.427
Page No 122:
Question 9:
Subtract:
149.456 from 206.321
ANSWER:
Let us write the numbers in the column form with the larger one at the top.
Now, subtracting:
206.321
– 149.456
56.865
∴∴ 206.321 – 149.456 = 56.865
Page No 122:
Question 10:
Subtract:
0.612 from 3.4
ANSWER:
Converting the given numbers into like decimals:
3.400 and 0.612
Let us write them in the column form with the larger number at the top.
Now, subtracting:
3.400
– 0.612
2.788
∴∴ 3.400 – 0.612 = 2.788
Page No 122:
Question 11:
Simplify:
37.6 + 72.85 − 58.678 − 6.09
ANSWER:
Converting the given decimals into like decimals, then adding and, finally, subtracting:
37.60 58.678
+ 72.85 + 6.090
110.45 64.768
110.450
−- 64.768
45.682
(37.60 + 72.85) −- (58.678 + 6.090)
= 110.450 −- 64.768
= 45.682
Page No 122:
Question 12:
Simplify:
75.3 − 104.645 + 178.96 − 47.9
ANSWER:
Converting the given decimals into like decimals, then adding and, finally, subtracting:
178.96 104.645
+ 75.30 + 47.900
254.26 152.545
(75.30 + 178.96) −- (104.645 + 47.900)
254.260 −- 152.545
101.715 254.260
−- 152.545
101.715
Page No 122:
Question 13:
Simplify:
213.4 − 56.84 − 11.87 − 16.087
ANSWER:
Converting the given decimals into like decimals, then adding and, finally, subtracting:
56.840
11.870
+16.087
84.797
(213.400) −- (56.840 + 11.870 + 16.087)
213.400 −- 84.797
128.603 213.400
−- 84.797
128.603
Page No 122:
Question 14:
Simplify:
76.3 − 7.666 − 6.77
ANSWER:
Converting the given decimals into like decimals, then adding and, finally, subtracting:
7.666
+ 6.770
14.436
(76.300) −- (7.666 + 6.770)
= 76.300 −- 14.436
= 61.864
76.300
-14.436
61.864
Page No 122:
Question 15:
What is to be added to 74.5 to get 91?
ANSWER:
In order to get the number that must be added to 74.5 to get 91, we must subtract 74.5 from 91.0.
91.0
−- 74.5
16.5
Thus, 16.5 is the required number.
Page No 122:
Question 16:
What is to be subtracted from 7.3 to get 0.862?
ANSWER:
In order to get the number that must be subtracted from 7.300 to get .0862, we have to subtract 0.862 from 7.300.
7.300
−- 0.862
6.438
Thus, 6.438 is the required number.
Page No 122:
Question 17:
By how much should 23.754 be increased to get 50?
ANSWER:
In order to get the number by which 23.754 must be increased to get 50, we have to subtract 23.754 from 50.000.
50.000
−-23.754
26.246
Page No 122:
Question 18:
By how much should 84.5 be decreased to get 27.84?
ANSWER:
In order to get the number by which 84.50 must be decreased to get 27.84, we have to subtract 27.84 from 84.50.
84.50
−-27.84
56.66
Page No 122:
Question 19:
If the school bags of Neelam and Garima weigh 6 kg 80 g and 5 kg 265 g respectively, whose bag is heavier and by how much?
ANSWER:
Weight of Neelam’s school bag = 6080 g {Converting into grams: 6 kg + 80 g = (6000 + 80) g = 6080 g}
Weight of Garima’s school bag = −-5265 g {Converting into grams: 5 kg + 265 g = (5000 + 265)g = 5265 g}
Difference of the weights of bags = 815 g
Thus, the weight of Neelam’s school bag is more than that of Garima’s school bag by 815 grams, i.e. by 0.815 kg.
Page No 122:
Question 20:
Kunal purchased a notebook for Rs 19.75, a pencil for Rs 3.85 and a pen for Rs 8.35 from a book shop. He gave a 50-rupee note to the shopkeeper. What amount did he get back?
ANSWER:
Cost of the notebook = Rs 19.75
Cost of the pencil = Rs 3.85
Cost of the pen = + Rs 8.35
Total cost payable = Rs 31.95
Total money paid = Rs 50.00
Total money spent = −-Rs 31.95
Balance = Rs 18.05
Thus, Kunal got back Rs 18.05 from the shopkeeper.
Page No 122:
Question 21:
Sunita purchased 5 kg 75 g of fruits and 3 kg 465 g of vegetables, and put them in a bag. If this bag with these contents weighs 9 kg, find the weight of the empty bag.
ANSWER:
Weight of the fruits = 5 kg 075 g
Weight of the vegetables = + 3 kg 465 g
Total weight of the contents of the bag = 8 kg 540 g
Total weight of the bag with its contents = 9 kg 000 g
Total weight of the contents of the bag = −- 8 kg 540 g
Weight of the empty bag = 0 kg 460 g
Thus, the weight of the empty bag is 460 grams.
Page No 123:
Question 22:
The distance between Reeta’s house and her office is 14 km. She covers 10 km 65 m by scooter, 3 km 75 m by bus and the rest on foot. How much distance does she cover by walking?
ANSWER:
Converting into metres:
10 km 65 m = (10 + 0.065) m = 10.065 m
3 km 75 m = (3 + 0.075) m = 3.075 m
Distance covered by the scooter = 10.065 km
Distance covered by the bus = + 3.075 km
Total distance covered by the bus and the scooter = 13.140 km
Total distance between the house and the office = 14.000 km
Total distance covered by the bus and the scooter = −-13.140 km
Distance covered on foot = 0.860 km
∴∴ Distance covered by walking = 0.860 km = 860 metres
Page No 123:
Exercise 7E
Question 1:
Mark (✓) against the correct answer in each of the following:
710=?710=?
(a) 7.1
(b) 1.7
(c) 0.7
(d) 0.07
ANSWER:
(c) 0.7
710710 = 7 tenths = 0.7
Page No 123:
Question 2:
Mark (✓) against the correct answer in each of the following:
5100=?5100=?
(a) 5.1
(b) 5.01
(c) 0.5
(d) 0.05
ANSWER:
(d) 0.05
51005100 = 5 hundredths = 0.05
Page No 123:
Question 3:
Mark (✓) against the correct answer in each of the following:
91000=?91000=?
(a) 0.0009
(b) 0.009
(c) 9.001
(d) none of these
ANSWER:
(b) 0.009
9100091000 = 9 thousandths = 0.009
Page No 123:
Question 4:
Mark (✓) against the correct answer in each of the following:
161000=?161000=?
(a) 0.016
(b) 0.16
(c) 0.0016
(d) 1.006
ANSWER:
(a) 0.016
161000161000 = 16 thousandths = 0.016
Page No 123:
Question 5:
Mark (✓) against the correct answer in each of the following:
1341000=?1341000=?
(a) 13.4
(b) 1.34
(c) 0.134
(d) 0.0134
ANSWER:
(c) 0.134
13410001341000 = 134 thousandths = 0.134
Page No 123:
Question 6:
Mark (✓) against the correct answer in each of the following:
217100=?217100=?
(a) 2.17
(b) 2.017
(c) 0.217
(d) 21.7
ANSWER:
(a) 2.17
21710017100 = 2 + 1710017100 = 2 + 0.17 = 2.17
Page No 123:
Question 7:
Mark (✓) against the correct answer in each of the following:
43100=?43100=?
(a) 4.3
(b) 4.03
(c) 4.003
(d) 43.10
ANSWER:
(b) 4.03
431003100 = 4 + 31003100 = 4 + 0.03 = 4.03
Page No 123:
Question 8:
Mark (✓) against the correct answer in each of the following:
6.25 = ?
(a) 612612
(b) 614614
(c) 62126212
(d) none of these
ANSWER:
b) 614614614
6.25 = 6 + 0.25 = 6 + 2510025100 = 6 + 1414 = 614614
Page No 123:
Question 9:
Mark (✓) against the correct answer in each of the following:
625=?625=?
(a) 2.4
(b) 0.24
(c) 0.024
(d) none of these
ANSWER:
(b) 0.24
625625 = 0.24
25) 60 (0.24
−-50
100
−- 100
0
Page No 123:
Question 10:
Mark (✓) against the correct answer in each of the following:
478=?478=?
(a) 4.78
(b) 4.87
(c) 4.875
(d) none of these
ANSWER:
(c) 4.875
478478 = 4 + 7878 = 4 + 0.875 = 4.875
Page No 123:
Question 11:
Mark (✓) against the correct answer in each of the following:
24.8 = ?
(a) 24452445
(b) 24252425
(c) 24152415
(d) none of these
ANSWER:
(a) 24452445
24.8 = 24 + 0.8 = 24 + 810810 = 24 + 4545 = 24452445
Page No 124:
Question 12:
Mark (✓) against the correct answer in each of the following:
2125=?2125=?
(a) 2.4
(b) 2.04
(c) 2.004
(d) none of these
ANSWER:
(b) 2.04
21252125 = 2 + 125125 = 2 + 0.04 = 2.04
Page No 124:
Question 13:
Mark (✓) against the correct answer in each of the following:
2+310+41002+310+4100
(a) 2.304
(b) 2.403
(c) 2.34
(d) none of these
ANSWER:
(c) 2.34
2 + 310 + 4100310 + 4100 = 2 + 0.3 + 0.04 = 2.34
Page No 124:
Question 14:
Mark (✓) against the correct answer in each of the following:
2+6100=?2+6100=?
(a) 2.006
(b) 2.06
(c) 2.6
(d) none of these
ANSWER:
(b) 2.06
2 + 61006100 = 2 + 0.06 = 2.06
Page No 124:
Question 15:
Mark (✓) against the correct answer in each of the following:
4100+710000=?4100+710000=?
(a) 0.47
(b) 0.407
(c) 0.0407
(d) none of these
ANSWER:
(c) 0.0407
4100 + 7100004100 + 710000 = 0.04 + 0.0007 = 0.0407
Page No 124:
Question 16:
The correct expanded from of 2.06 is
(a) (2 × 10) + (6 × 110)2 × 10 + 6 × 110
(b) (2 × 1) + (6 ×110)2 × 1 + 6 ×110
(c) (2 × 1) + (6 × 1100)2 × 1 + 6 × 1100
(d) none of these
ANSWER:
(c) (2 × 1) + (6 × 1100)(2 × 1) + (6 × 1100)
2.06 = 2 + 61006100 = (2 × 1) + (6 × 1100)(2 × 1) + (6 × 1100)2 × 1) + (6 × 1(2 × 1) + (6 (2 × 1) + (6
Page No 124:
Question 17:
Amoung 2.6, 2.006, 2.66 and 2.08, the largest number is
(a) 2.006
(b) 2.08
(c) 2.6
(d) 2.66
ANSWER:
(d) 2.66
Converting the given decimals into like decimals:
2.600, 2.006, 2.660 and 2.080
Among the given decimals, 2.660 is the largest.
Page No 124:
Question 18:
Which of the following is the correct order?
(a) 2.2 < 2.02 < 2.002 < 2.222
(b) 2.002 < 2.02 < 2.2 < 2.222
(c) 2.02 < 2.22 < 2.002 < 2.222
(d) none of these
ANSWER:
(b) 2.002 < 2.02 < 2.2 < 2.222
Converting the given decimals into like decimals:
2.002, 2.020, 2.200, 2.222
∴∴ 2.002 < 2.02 < 2.2 < 2.222
Page No 124:
Question 19:
Which is larger: 2.1 or 2.055?
(a) 2.1
(b) 2.055
(c) cannot be compared
ANSWER:
(a) 2.1
If we convert the given decimals into like decimals, we get 2.100 and 2.055.
At tenths place, 1 is greater than 0. Thus, 2.100 is greater than 2.055.
Page No 124:
Question 20:
Mark (✓) against the correct answer in each of the following:
1 cm = ?
(a) 0.1 m
(b) 0.01 m
(c) 0.001 m
(d) none of these
ANSWER:
(b) 0.01 m
1 m = 100 cm
∴∴ 1 cm = 11001100m = 0.01 m
Page No 124:
Question 21:
Mark (✓) against the correct answer in each of the following:
2 m 5 cm = ?
(a) 2.5 m
(b) 2.05 m
(c) 2.005 m
(d) 0.25 m
ANSWER:
(b) 2.05 m
2 m 5 cm = (2 + 51005100) m = (2 + 0.05) m = 2.05 m
Page No 124:
Question 22:
Mark (✓) against the correct answer in each of the following:
2 kg 8 g = ?
(a) 2.8 kg
(b) 2.08 kg
(c) 2.008 kg
(d) none of these
ANSWER:
(c) 2.008 kg
1 kg = 1000 g
∴∴ 2 kg 8 g = 2 kg + 8100081000 kg = (2 + 0.008) kg = 2.008 kg
Page No 124:
Question 23:
Mark (✓) against the correct answer in each of the following:
2 kg 56 g = ?
(a) 2.56 kg
(b) 2.056 kg
(c) 2.560 kg
(d) none of these
ANSWER:
(b) 2.056 kg
2 kg + 56 g = (2 + 561000561000) kg = (2 + 0.056) kg = 2.056 kg
Page No 124:
Question 24:
Mark (✓) against the correct answer in each of the following:
2 km 35 m = ?
(a) 2.35 km
(b) 2.350 km
(c) 2.035 km
(d) none of these
ANSWER:
(c) 2.035 km
1 km = 1000 m
∴∴ 2 km 35 m = (2 + 351000351000) km = (2 + 0.035) km = 2.035 km
Page No 124:
Question 25:
Mark (✓) against the correct answer in each of the following:
0.4 + 0.004 + 4.4 = ?
(a) 4.444
(b) 5.2
(c) 4.804
(d) 5.404
ANSWER:
(c) 4.804
0.4 + 0.004 + 4.4
Converting into like decimals and then adding:
4.400
0.004
+ 0.400
4.804
Page No 124:
Question 26:
Mark (✓) against the correct answer in each of the following:
3.5 + 4.05 − 6.005 = ?
(a) 1.545
(b) 1.095
(c) 1.6
(d) none of these
ANSWER:
(a) 1.545
Converting into like decimals:
3.500 + 4.050 − 6.005
3.500
+ 4.050
7.550
7.550
− 6.005
1.545
Page No 124:
Question 27:
Mark (✓) against the correct answer in each of the following:
6.3 − 2.8 = ?
(a) 0.35
(b) 3.5
(c) 3.035
(d) none of these
ANSWER:
(b) 3.5
6.3
− 2.8
3.5
Page No 124:
Question 28:
Mark (✓) against the correct answer in each of the following:
5.01 − 3.6 = ?
(a) 4.65
(b) 1.95
(c) 1.41
(d) none of these
ANSWER:
(c) 1.41
Converting into like decimals and then subtracting:
5.01
− 3.60
1.41
Page No 125:
Question 29:
Mark (✓) against the correct answer in each of the following:
2 − 0.7 = ?
(a) 1.3
(b) 1.5
(c) 2.03
(d) none of these
ANSWER:
(a) 1.3
Converting into like decimals and then subtracting:
2.0
− 0.7
1.3
Page No 125:
Question 30:
Mark (✓) against the correct answer in each of the following:
1.1 − 0.3 = ?
(a) 0.8
(b) 0.08
(c) 8
(d) none of these
ANSWER:
(a) 0.8
Converting into like decimals and then subtracting:
1.1
− 0.3
0.8
Page No 126:
Exercise 7F
Question 1:
Convert 458458 into a decimal fraction.
ANSWER:
458458 = 4 + 5858 = 4 + 0.625 = 4.625
Page No 126:
Question 2:
Express 105 cm into metres using decimals.
ANSWER:
1 cm = 11001100 m
∴∴ 105 cm = 105100105100 m = (1 + 51005100) m = (1 + 0.05) m = 1.05 m
Page No 126:
Question 3:
Express 6 km 5 m as km using decimals.
ANSWER:
1 m = 1100011000 km
∴∴ 5 m = 5100051000 km = 0.005 km
6 km 5 m = (6 + 0.005) km = 6.005 km
Page No 126:
Question 4:
Express 8 m as kilometre using decimals.
ANSWER:
1 m = 1100011000 km
∴∴8 m = 8100081000 km = 0.008 km
Page No 126:
Question 5:
Add 26.4, 163.05, 8.75 and 5.6.
ANSWER:
Converting into like decimals and then adding:
26.40
163.05
8.75
+ 5.60
203.80
Page No 126:
Question 6:
Subtract 0.528 from 3.2.
ANSWER:
Converting into like decimals and then subtracting:
3.200
−- 0.528
2.672
Page No 126:
Question 7:
What is to be added to 63.5 to get 71?
ANSWER:
We subtract 63.5 from 71 in order to find the number that is to be added to 63.5 to make it 71.
Converting into like decimals and then subtracting:
71.0
−- 63.5
7.5
Page No 126:
Question 8:
What is to be subtracted from 13 to get 5.4?
ANSWER:
We subtract 5.4 from 13 in order to find the number that is to be subtracted from 13 to get 5.4.
Converting into like decimals and then subtracting:
13.0
−- 5.4
7.6
Thus, we need to subtract 7.6 from 13 to get 5.4.
Page No 126:
Question 9:
Arrange the following decimals in descending order:
6.5, 6.05, 6.54, 6.4 and 6.45
ANSWER:
6.5, 6.05, 6.54, 6.4 and 6.45
Converting into like decimals:
6.50, 6.05, 6.54, 6.40 and 6.45
Clearly, 6.54 > 6.50 > 6.45 > 6.40 > 6.05
Hence, the given decimals can be arranged in the descending order in the following manner:
6.54, 6.50, 6.45, 6.40 and 6.05
Page No 126:
Question 10:
Convert each of the following into a fraction in simplest form:
(i) .4
(ii) .35
(c) 0.08
(iv) 0.075
ANSWER:
(i) 0.4 = 410 = 25410 = 25
(ii) 0.35 = 35100 = 72035100 = 720
(iii) 0.08 = 8100 = 2258100 = 225
(iv) 0.075 = 751000 = 340751000 = 340
Page No 126:
Question 11:
Mark (✓) against the correct answer in each of the following:
325=?325=?
(a) 1.2
(b) 0.12
(c) 0.012
(d) none of these
ANSWER:
(b) 0.12
325325 = 0.12
25) 30 (0.12
−- 25
50
−- 50
0
Page No 126:
Question 12:
Mark (✓) against the correct answer in each of the following:
61000=?61000=?
(a) 6.001
(b) 0.0006
(c) 0.006
(d) 0.06
ANSWER:
(c) 0.006
6100061000 = 6 thousandths = 0.006
Page No 126:
Question 13:
Mark (✓) against the correct answer in each of the following:
23100=?23100=?
(a) 2.003
(b) 2.03
(c) 2.3
(d) none of these
ANSWER:
(b) 2.03
2310023100 = 2 + 31003100 = 2 + 0.03 = 2.03
Page No 126:
Question 14:
Mark (✓) against the correct answer in each of the following:
The place value of 3 in 16.534 is
(a) 310310
(b) 31003100
(c) 3100031000
(d) 3
ANSWER:
(b) 31003100
In 16.534, place value of 3 = 3 hundredths = 0.03 = 31003100
Page No 126:
Question 15:
Mark (✓) against the correct answer in each of the following:
478=?478=?
(a) 4.78
(b) 4.87
(c) 4.875
(d) none of these
ANSWER:
(c) 4.875
478478 = 4 + 7878 = 4 + 0.875 = 4.875
Page No 126:
Question 16:
Mark (✓) against the correct answer in each of the following:
5.01 − 3.6 = ?
(a) 4.65
(b) 1.95
(c) 1.41
(d) none of these
ANSWER:
(c) 1.41
Converting into like decimals:
5.01
− 3.60
1.41
Page No 126:
Question 17:
Mark (✓) against the correct answer in each of the following:
3.5 + 4.05 − 6.005 = ?
(a) 1.545
(b) 1.095
(c) 1.6
(d) none of these
ANSWER:
(a) 1.545
(3.50 + 4.05) −- 6.005
7.550 −- 6.005
Converting into like decimals and then adding:
3.50
+ 4.05
7.55
Converting into like decimals and then subtracting:
7.550
−- 6.005
1.545
Page No 126:
Question 18:
Mark (✓) against the correct answer in each of the following:
4100+710000=?4100+710000=?
(a) 0.47
(b) 0.407
(c) 0.0407
(d) none of these
ANSWER:
(c) 0.0407
4100 + 7100004100 + 710000 = 0.04 + 0.0007
Converting into like decimals:
0.0400 + 0.0007 = 0.0407
Page No 126:
Question 19:
Mark (✓) against the correct answer in each of the following:
Among 2.6, 2.006, 2.66 and 2.08, the largest number is
(a) 2.006
(b) 2.08
(c) 2.6
(d) 2.66
ANSWER:
(d) 2.66
Converting all the given decimals into like decimals:
2.600, 2.006, 2.660 and 2.080
Among these given like decimals, 2.660 is the largest.
Page No 126:
Question 20:
Fill in the blanks.
(i) 1 m = …… km
(ii) 10 ml = …… 1
(iii) 16 kg 5 g = …… kg
(iv) 2 m 8 cm = …… m
(v) 3.02, 4.75, 1.63 are examples of …… decimals.
ANSWER:
(i) 1 m = 1100011000 km = 0.001 km
(ii) 10 mL = 11001100 1 = 0.01 L
(iii) 16 kg 5 g = (16 + 0.005) kg = 16.005 kg
(iv) 2 m 8 cm = (2 + 0.08) m = 2.08 m
(v) 3.02, 4.75, 1.63 are examples of like decimals.
Page No 127:
Question 21:
Write ‘T’ for true and ‘F’ for false for each of the statements given below:
(i) 3.02 < 3.2.
(ii) 3 g = 0.003 kg.
(iii) 3411000=3.410.3411000=3.410.
(iv) 6.2 and 6.200 are equivalent decimals.
(v) 2.3, 3.41, 4.53, 5.61 are examples of like decimals.
ANSWER:
(i) True
This is because after converting them into like decimals, we get 3.20 > 3.02, which is true.
(ii) True
1 g = 1100011000 kg
∴∴ 3 g = 3100031000 = 0.003 kg
(iii) False
34110003411000 = 0.341
This is because it is equal to 341 thousandths.
(iv) True
(v) False
In this case, every decimal should have 2 decimals in order to be like decimals. But, 2.3 has only 1 decimal.
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