Exercise 1.1
Question: 1
Write each of the following in numeral form :
i) Eight thousand twelve
ii) Seventy thousand fifty-three
iii) Five lakh seven thousand four hundred six
iv) Six lakh tow thousand nine
v) Thirty lakh eleven thousand one
vi) Eight crore four lakh twenty-five.
vii) Three crore three thousand three hundred three
viii) Seventeen crores sixty lakh thirty thousand fifty-seven.
Solution:
i) 8,012
ii) 70,053
iii) 5,07,406
iv) 6,02,009
v) 30,11,001
vi) 8,04,00,025
vii) 3,03,03,303
viii) 17,60,30,057
Question: 2
Write the following numbers in words in the Indian system of numeration.
i) 42,007
ii) 4,05,045
iii) 35,42,012
iv) 7,06,04,014
v) 25,05,05,500
vi) 5,50,50,050
vii) 5,03,04,012
Solution:
i) Forty two thousand seven.
ii) Four lakh five thousand forty five.
iii) Thirty five lakh forty two thousand twelve.
iv) Seven crore six lakh four thousand fourteen.
v) Twenty five crore five lakh five thousand five hundred.
vi) Five crore fifty lakh fifty thousand fifty.
vii) Five crore three lakh four thousand twelve.
Question: 3
Insert commas in the correct positions to separate periods and write the following numbers in words:
i) 4375
ii) 24798
iii) 857367
iv) 9050784
v) 10105607
vi) 10000007
vii) 910107104
Solution:
i) 4,357
ii) 24,798
iii) 8,57,367
iv) 90,50,784
v) 1,01,05,607
vi) 1,00,00,007
vii) 91,01,07,104
Question: 4
Write each of the following in expanded form:
i) 3057
ii) 12345
iii) 10205
iv) 235060
Solution:
i) 3000 + 50 + 7
ii) 10000 + 2000 + 300 + 40 + 5
iii) 10000 + 200 + 5
iv) 200000 + 30000 + 5000 + 60
Question: 5
Write the corresponding numeral for each of the following :
i) 7 x 10000 + 2 x 1000 + 5 x 100 + 9 x 10 + 6 x 1
ii) 4 x 100000 + 5 x 1000 + 1 x 100 + 7 x 1
iii) 8 x 1000000 + 3 x 1000 + 6 x 1
iv) 5 x 10000000 + 7 x 1000000 + 8 x 1000 + 9 x 10 + 4
Solution:
i) 70000 + 2000 + 500 + 90 + 6 = 72,596
ii) 400000 + 5000 + 100 + 7 = 4,05,107
iii) 8000000 + 3000 + 6 = 80,03,006
iv) 50000000 + 7000000 + 8000 + 90 + 4 = 5,70,08,094
Question: 6
Find the place value of the digit 4 in each of the following:
i) 74983160
ii) 8745836
Solution:
i) Place value of 4 = 4 × 10,00,00 = 40,00,00
ii) Place value of 4 = 4 × 10,000 = 40,000
Question: 7
Determine the product of the place values of two fives in 450758.
Solution:
Place value of first 5 = 5 × 10 = 50
Place value of second 5 = 5 × 10,000 = 50,000
Required product = 50 × 50,000 = 25, 00,000
Question: 8
Determine the difference of the place values of 7’s in 257839705.
Solution:
Place value of first 7 = 7 × 10 = 700
Place value of second 7 = 7 × 10,000 = 70, 00,000
Required difference = 70, 00,000 – 700 = 69, 99,300
Question: 9
Determine the difference between the place value and the face value of 5 in 78654321.
Solution:
The number = 7, 86, 54, 321
The place value of 5 = 5 ten thousands = 50,000
The face value of 5 = 5
Therefore, the difference = 50,000 – 5 = 49,995
Question: 10
Which digits have the same face value and place value in 92078634?
Solution:
The place value of a digit depends on the place where it occurs, while the face value is the value of the digit itself.
In a number, the digits that have same face value and place value are the ones digit and all the zeroes of the number.
Therefore, in 9, 20, 78,634, 4 ( the ones digit ) and 0 ( the lakhs digit ) have the same face value and place value
Question: 11
How many different 3- digit numbers can be formed by using the digits 0, 2, 5 without repeating any digit in the number?
Solution:
The three-digit numbers formed using the digits 0, 2 and 5 ( without repeating any digit in the number ) are 250 , 205 , 502 and 520.
Therefore, four such numbers can be formed.
Question: 12
Write all possible 3- digit numbers using 6, 0, 4 when
i) Repetition of digits is not allowed
ii) Repetition of digits is allowed
Solution:
i) 604, 640, 460, 406
ii) 666, 664, 646, 660, 606, 600, 644, 640, 604, 444, 466, 440, 446,464, 400, 404, 406, 460
Question: 13
Fill in the blanks:
i)1 Iakh = —— ten thousand
ii) 1 Iakh = —— thousand
iii) 1 Iakh = ——- hundred
iv) 1 Iakh = ——- ten
v) 1 crore = —– ten Iakh
vi) 1 crore = —– Iakh
vii)1 crore = —— ten thousand
viii) 1 crore = ——- thousand
ix) 1 crore = ——- hundred
x) 1 crore = —— ten
Solution:
i) 1 Iakh = 10 ten thousand
ii) 1 Iakh = 100 thousand
iii) 1 Iakh = 1000 hundred
iv) 1 Iakh = 10000 ten
v) 1 crore = 10 ten Iakh
vi) 1 crore = 100 Iakh
vii) 1 crore = 1000 ten thousand
viii) 1 crore = 10000 thousand
ix) 1 crore = 100000 hundred
x) 1 crore = 1000000 ten
Exercise 1.2
Question: 1
Write each of the following numbers in digits by using international place value chart. Also, write them in expanded form.
i) Seven million three hundred three thousand two hundred six
ii) Fifty five million twenty nine thousand seven
iii) Six billion one hundred ten million three thousand seven
Solution:
i) 7,303,206
Expanded form = 7 × 1000000 + 3 × 100000 + 0 × 10000 + 3 × 1000 + 2 × 100 + 0 × 10 + 6 × 1
ii) 55,029,007
Expanded form = 5 × 10000000 + 5 × 1000000 + 0 × 100000 + 2 × 10000 + 9 × 1000 + 0 × 100 + 0 × 10 + 7 × 1
iii) 6,110,003,007
Expanded form = 6 × 1000000000 + 1 × 100000000 + 1 × 10000000 + 0 × 1000000 + 0 × 100000 + 0 × 10000 + 3 × 1000 + 0 × 100 + 0 × 10 + 7 × 1
Question: 2
Rewrite each of the following numerals with proper commas in the international system of numeration
i) 513625
ii) 4035672
iii) 65954923
iv) 70902005
Solution:
i) 513,625 or Five hundred thirteen thousand six hundred twenty five.
ii) 4,035,672 or Four million thirty five thousand six hundred seventy two.
iii) 65,954,923 or Sixty five million nine hundred fifty four thousand nine hundred twenty three
(iv) 70,902,005 or Seventy million nine hundred two thousand five
Question: 3
Write each of the following numbers in the international system of numeration :
i) Forty three lakh four thousand eighty four.
ii) Six crore thirty four lakh four thousand forty four.
iii) Seven lakh thirty five thousand eight hundred ninety nine only.
Solution:
i) 4,304,084 or Four million three hundred four thousand eighty four.
ii) 63,404,044 or Sixty three million four hundred four thousand forty four.
iii) 735,899 or Seven hundred thirty five thousand eight hundred ninety nine.
Question: 4
Write the following numbers in the Indian system of numeration :
i)Six million five hundred forty three thousand two hundred ten.
ii)Seventy six million eighty five thousand nine hundred eighty seven
iii) Three hundred twenty five million four hundred seventy nine thousand eight hundred thirty eight.
Solution:
i) 65, 43,210 or Sixty five lakh forty three thousand two hundred ten.
ii) 7, 60,85,987 or Seven crore sixty lakh eighty five thousand nine hundred eighty seven.
iii) 32, 54,79,838 or Thirty two crore fifty four lakh seventy nine thousand eight hundred thirty eight.
Question: 5
A certain nine digit number has only ones in ones period, only twos in the thousands period and only threes in millions period. Write this number in words in the Indian system.
Solution:
The number is 333,222,111
In Indian system , the number is written as 33,32,22,111 thirty – three crore thirty – two lakh twenty thousand one hundred and eleven.
Question: 6
How many thousands make a million?
Solution:
1,000 thousands makes a million
Question: 7
How many millions make a billion?
Solution:
1,000 millions make a billion
Question: 8
i) How many lakhs make a million?
ii) How many lakhs make billion?
Solution:
i) Ten lakhs make a million
ii) Ten thousand lakhs make a billion
Question: 9
Write each of the following in numerical form:
i) Nighty-Eight million seven hundred eight thousand four.
ii) Six hundred seven million twelve thousand eighty four.
iii) Four billion twenty five million forty five thousand.
Solution:
i) 98,708,004
ii) 607,012,084
iii) 4,025,045,000
Question: 10
Write the number names of each of the following in international system of numeration :
i) 435,002
ii) 1,047,509
iii) 59,064,523
iv) 25,201,905
Solution:
i) Four hundred thirty-five thousand and two
ii) One million, forty-seven thousand, five hundred and nine
iii) Fifty-nine million, sixty-four thousand, five hundred and twenty-three
iv) Twenty-five million, two hundred one thousand, nine hundred and five
Exercise 1.3
Question: 1
How many four – digit numbers are there in all?
Solution:
There are 10 digits i.e., 0, 1, 2, 3, 4, 5, 6 ,7, 8, 9.
We cannot use ‘0’ at thousand’s place.
So, we can use only 9 digits at thousand’s place.
Also, we can use 10 digits at hundred’s, 10 digits at ten’s and 10 digits at unit’s place.
So, total numbers of four-digit numbers = 9 × 10 × 10 × 10 = 9000
Question: 2
Write the smallest and the largest six digit numbers. How many numbers are between these two.
Solution:
The smallest digit is 0. But we cannot use 0 at the place having the highest place value in six digit numbers. So, we will use the second smallest digit i.e., 1. All other places are filled by 9.
Hence, the required number = 100000
Smallest six digit number will be 100000.
The largest digit is 9.
We can use 9 at any place. In fact , we can use 9 in all places in six digit numbers.
Hence, the required number = 999999
Largest six digit number will be 999999
Required difference = 999999 – 100000 = 899999
So, the total numbers between 999999 and 100000 will be 899998.
Question: 3
How many 8 – digit numbers are there in all ?
Solution:
There are 10 digits i.e., 0, 1, 2, 3, 4, 5, 6 ,7, 8, 9.
We cannot use ‘0’ at the place having the highest place value in 8 digit numbers.
So, we can use only 9 digits at the place having the highest place value in 8 digit numbers.
Also, we can use 10 digits at the remaining places in 8 digit numbers So, total numbers of 8-digit numbers = 9 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 90000000
Question: 4
Write 10075302 in words and rearrange the digits to get the smallest and the largest numbers.
Solution:
One crore seventy-five thousand three hundred two.
In order to write the smallest 8-digit number using digits 0, 1, 2, 3, 5 and 7, we put the smallest digit 1 ( Except 0 ) at the place having the highest place value. The largest digit 7 is put at the rightmost place i.e. at unit’s place, the digit 5 is put at the ten’s place, the digit 3 is put at the hundred’s place and the digit 2 is put at the thousand’s place. All other places are filled by 0. Hence, the required largest number is 10002357.
In order to write the largest 8-digit number using digits 0, 1, 2, 3, 5 and 7, we put the largest digit 7 at the place having the highest place value. The smallest digit 5 is put at the place after the highest place value. We put the next smallest digit ( i.e., 3 ) after the previous one. After it we place the next smallest digit ( i.e., 2 ) and after that we put the digit 1. All other places are filled by 0. Hence, the required largest number is 75321000.
Question: 5
What is smallest 3-digit number with unique digits?
Solution:
The smallest three-digit number with unique digits is 102.
Question: 6
What is the largest 5- digits number with unique digits?
Solution:
The largest five – digit number with unique digits 98,765.
Question: 7
Write is smallest 3-digit number which does not change if the digits are written in reverse order.
Solution:
The smallest three – digit number that does not change if the digits are written in reverse order is 101.
Question: 8
Find the difference between the number 279 and that obtained on reversing its digits.
Solution:
The number obtained on reversing 279 = 972
Difference = 972 – 279 = 693
Thus, the difference between 279 and that obtained on reversing its digits is 693.
Question: 9
Form the largest and smallest 4- digit numbers using each of digits 7,1,0,5 only once.
Solution:
The largest and smallest four- digit numbers formed using 7,1,0 and and 5are 7,510 and 1,057.
Exercise 1.4
Question: 1
Put the appropriate symbol ( < > ) in each of the following boxes :
i) 102394 ___ 99887
ii) 2507324 ___ 2517324
iii) 3572014 ____ 10253104
iv) 47983505 ____ 47894012
Solution:
i) 102394 > 99887
ii) 2507324 < 2517324
iii) 3572014 < 10253104
iv) 47983505 > 47894012
Question: 2
Arrange the following numbers in ascending order :
i) 6,35,47,201, 10,23,45,694 , 65,39,542 , 83,54,208 , 1,23,45,678
ii) 18,08,088, 1,81,888, 1,90,909, 18,08,090, 1,60,60,666
Solution:
i) 65,39,542, 83,54,208, 1,23,45,678, 6,35,47,201, 10,23,45,694
ii) 1,81,888, 1,90,909, 18,08,088, 18,08,090, 1,60,60,666
Question: 3
Arrange the following numbers in descending order :
i) 05,69,44,000, 5,69,43,201 , , 56,95,440, 5,69,43,300, 56,94,437
ii) 10,20,216, 10,20,308 , 10,21,430, 8,93,425, 8,93,245
Solution:
i) 5,69,44,000, 5,69,43,300, 5,69,43,201, 56,95,440, 56,94,437
ii) 10,21,430, 10,20,308, 10,20,216, 8,93,425, 8,93,245
Exercise 1.5
Question: 1
How many milligrams make one kilogram?
Solution:
Ten lakh or one million (10, 00, 000) milligrams make one kilogram.
Question: 2
A box of medicine tablets contains 2, 00,000 tablets each weighing 20mg. what is the total weight of all the tablets in the box in grams? in kilograms ?
Solution:
Given data: Each tablet weighs = 20 mg
Therefore, The weight of 2, 00,000 tablets = 2, 00,000 × 20 = 40, 00,000 mg
Therefore, The total weight of all the tablets in the box = 40, 00,000 mg
We know 1 g = 1,000 mg
Weight of the box having all tablets = 40,00,000 ÷ 1,000=4000g
And, as 1 kg = 1,000 g
Therefore, Weight of the box having all tablets = 4,000 ÷ 1,000 = 4000g = 4 kg
Question: 3
Population of sundarnagar was 2, 35,471 in the year 1991. In the year 2001 it was found to have increased by 72,958. What was the population of the city in 2001?
Solution:
The population of Sundar Nagar in 2001 = Sum of the population of city in 1991 + Increase in population over the given time period
As given in the question, The population of Sundar Nagar in 1991 = 2, 35,471
As given in the question,
Increase in population over the given time period = 72.958
Therefore, The population of Sundar Nagar in 2001
= 2, 35,471 + 72,958 = 3, 08,429
Question: 4
A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final days were respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.
Solution:
Total number of tickets sold on all four days is the sum of the tickets sold on the first, second, third and final days.
Therefore, total number of tickets sold on all four days is given by:
= 1094 + 1812 + 2050 + 2751 = 7707
Question: 5
The town newspaper is published every day. One copy has 12 pages. Everyday 11,980 copies are printed. How many pages are in all printed every day? Every month?
Solution:
As given in the question,
Number of pages in 1 copy of newspaper = 12
Therefore, Number of pages in 11,980 copies of newspaper
= 11,980 × 12 = 1, 43,760
Thus, 1, 43,760 pages are printed every day.
Now, number of pages printed every day = 1, 43,760
Therefore, Number of pages printed in a month = 1, 43,760 × 30 = 43, 12,800
Thus, 43, 12,800 pages are printed in a month.
Question: 6
A machine, on an average, manufactures 2825 screws a day. How many screws did it produce in the month of January 2006?
Solution:
As given in the question,
Number of screws produced by a machine in a day = 2,825
Therefore, Number of screws produced by the same machine in the month of January 2006 = 2, 825 × 31 = 87,575
Thus, machine-produced 87,575 screws in the month of January 2006.
Question: 7
A famous cricket player has so far scored 6978 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?
Solution:
Runs scored by cricket player in test matches = 6,978
Therefore, Remaining runs required to complete 10,000 runs
= 10,000 – 6,978 = 3,022
Thus, the player needs to score 3,022 more runs to complete 10,000 runs.
Question: 8
Ravish has Rs. 78,592 with him. He placed an order for purchasing 39 radio sets at Rs. 1234 each. How much money will remain with him after the purchase?
Solution:
Ravish’s initial money = Rs.78, 592
He purchased 39 radio sets at Rs.1, 234 each.
Therefore, Money spent by him on purchasing 39 radio sets
= 1,234 × 39 = Rs. 48,126
Therefore, Remaining money with Ravish after the purchase = Initial money – Money spent on purchasing 39 radio sets = Rs. 78,592 – Rs. 48,126 = Rs. 30,466
Thus, 230,466 are left with him after the purchase.
Question: 9
In an election, the successful candidate registered 5, 77,570 votes and his nearest rival secured 3, 48,685 votes. By what margin did the successful candidate win the election?
Solution:
Margin of victory in the election for the successful candidate = Number of votes registered by the winner – Number of votes secured by nearest rival candidate
Votes registered by the winner = 5, 77,570
Votes secured by the rival = 3, 48,685
Therefore, Margin of victory for the successful candidate
= 5, 77, 570 – 3, 48, 685 = 2, 28, 885
Question: 10
To stitch a shirt 2m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?
Solution:
As given in the question, Total length of available cloth = 40 m = 4,000 cm (1 m = 100 cm)
As given in the question, Length of cloth required to stitch a shirt
= 215 cm = 200 + 15 = 215 cm
Therefore, The number of shirts that can be stitched from the 40-metre cloth
= 4,000 / 215 = 18.60
As the number of shirts has to be a whole number, we consider the whole part only. That is, 18 such shirts can be stitched.
Therefore, Cloth required for stitching 18 shirts = 215 x 18 = 3870 cm. Therefore, Remaining cloth = 4,000 — 3870 = 130 cm = 1.3 m
Question: 11
A vessel has 4 litre and 650 ml of curd. In how many glasses, each of 25 ml capacity, can it be distributed?
Solution:
The number of glasses in which curd can be distributed = Total amount of curd/Capacity of each glass.
Total amount of curd in the vessel = 4,650 ml = 4,000 + 650 = 4,650 ml
( 1 L = 1,000 ml )
Capacity of each glass = 25 ml
Therefore, Number of glasses in which curd can be distributed = 4,650/25 = 186
Question: 12
Medicine in packed in boxes, each such boxes weighing 4kg 500g. How many such boxes can be loaded in a van which cannot carry beyond 800 Kg?
Solution:
Sol :
As given in the question,
Total capacity of a van carrying boxes of medicines = 800 kg = 8, 00,000 g (1 kg = 1,000 g)
As given in the question, Weight of each packed box
= 4,500 g = 4,000 + 500 = 4,500 g
Therefore, Total number of boxes that can be loaded in the van
= 8, 00,000 / 4,500 = 177.77
The obtained number of boxes is not a whole number.
Therefore, Weight of 177 boxes = 177 × 4,500 = 7, 96,500 g (under permissible limit)
Therefore, Weight of 178 boxes = 178 × 4,500 = 8, 01,000 g (beyond permissible limit)
Therefore, we can’t load 178 boxes; hence, we can say that 177 boxes can be loaded in the van.
Question: 13
The Distance between the school and the house of a student is 1 Km 875 m. Every day she walks both ways between her school and home. Find the total distance covered by her in a week?
Solution:
Therefore, Distance between the school and the house of a student
= 1,875 m = 1,000 + 875 = 1,875 m (1 km = 1,000 m)
As given in the question, Distance covered by a student in a day
= 2 × 1,875 = 3,750 m
Total distance covered by her in a week = 7 × 3,750 = 26,250 m = 26.25 km
Exercise 1.6
Question: 1
Round off each of the following numbers to nearest tens :
i) 84
ii) 98
iii) 984
iv) 808
v) 998
vi) 12,096
vii) 10,908
viii) 28,925
Solution:
i) 80
ii) 100
iii) 980
iv) 810
v) 1,000
vi) 12,100
vii) 10,910
viii) 28,930
Question: 2
Round off each of the following numbers to nearest hundreds :
i) 3,985
ii) 7289
iii) 8074
iv) 14,627
v) 28,826
vi) 4,20,387
vii) 43,68,973
viii) 7,42,898
Solution:
i) 4,000
ii) 7,300
iii) 8,100
iv) 14,600
v) 28,800
vi) 4,20,400
vii) 43,69,000
viii) 7,42,900
Question: 3
Round off each of the numbers to nearest thousands :
i) 2401
ii) 9600
iii) 4278
iv) 7832
v) 9567
vi) 26,019
vii) 20,963
viii) 4,36,952
Solution:
i) 2000
ii) 10000
iii) 4000
iv) 8000
v) 10000
vi) 26000
vii) 21000
viii) 4,37,000
Question: 4
Round off each of the following numbers to nearest tens, hundreds and thousands.
i) 964
ii) 1049
iii) 45,634
iv) 79,085
Solution:
Tens :
i) 970
ii) 1050
iii) 45,630
iv) 79,090
Hundreds :
i)1000
ii) 1000
iii) 45,600
iv) 79,100
Thousands :
i) 1000
ii) 1000
iii) 46000
iv) 79000
Question: 5
Round off the following measures to the nearest hundreds :
i) Rs 666
ii) Rs 850
iii) Rs 3,428
iv) Rs 9,080
v) 1265 km
vi) 417 m
vii) 550 cm
viii) 2486 m
ix) 360 gm
x) 940 kg
xi) 273 l
xii) 820 mg
Solution:
i) Rs. 700
ii) Rs. 900
iii) Rs. 3,500
iv) Rs.9100
v) 1300 km
vi) 400 m
vii) 600 cm
viii) 2500 m
ix) 400 gm
x) 900 kg
xi) 300 l
xii) 800 mg
Question: 6
List all numbers which are rounded off to the nearest ten as 370.
Solution:
365 , 366 , 367 , 368 , 369 , 370 , 371 , 372 , 373 , 374
Question: 7
Find the smallest and the greatest numbers which are rounded off to the nearest hundreds as 900.
Solution:
Smallest number: 850
Greatest number: 949
Question: 8
Find the smallest and the greatest numbers which are rounded off to the nearest thousands as 9000.
Solution:
Smallest number: 8,500
Greatest number: 9,499
Exercise 1.7
Question: 1
Estimate the following by rounding off each factor to nearest hundreds:
i) 730 + 998
ii) 796 – 314
iii) 875 – 384
Solution:
i) 700 + 1000 = 1700
ii) 800 – 300 = 500
iii) 900 – 400 = 500
Question: 2
Estimate the following by rounding off each factor to nearest thousands:
i) 12904 + 2888
ii) 28292 – 21496
Solution:
i) 13000 + 3000 = 16000
ii) 28000 – 21000 = 7000
Question: 3
Estimate the following by rounding off each number to its greatest place:
i) 439 + 334 + 4317
ii) 8325 – 491
iii) 108734 – 47599
iv) 898 × 785
v) 9 × 795
vi) 87 × 317
Solution:
i) 400 + 300 + 4000 = 4700
ii)8000 – 500 = 7500
iii)100000 -500000 = 50000
iv) 900 × 800 = 720000
v) 10 × 800 = 8000
vi) 90 x 300 = 27000
Question: 4
Find the estimated quotient for each of the following by rounding off each number to its greatest place :
i) 878 ÷ 28
ii) 745 ÷ 24
iii) 4489 ÷ 394
Solution:
i) 900 ÷ 30 = 30
ii) 700 ÷ 20 = 35
iii) 4000 ÷ 400 = 10
Question: 5
Write the expression for each of the following statements using brackets:
i) Four multiplied by the sum of 13 and 7
ii) Eight multiplied by the difference of four from nine.
iii) Divide the difference of twenty eight and seven by 3.
The sum of 3 and 7 in multiplied by the difference of twelve and eight.
Solution:
i) 4 × (13 + 7)
ii) 8 × (9 – 4)
iii) 28 – 73
iv) (3 + 7) x (12 – 8)
Question: 6
Simplify each of the following:
i) 124 – (12 – 2) × 9
ii) (13 + 7) × (9 – 4) – 18
iii) 210 – (14 – 4) x (18 + 2) – 10
Solution:
i) 34
ii) 82
iii) 0
Question: 7
Simplify each of the following:
i) 7 × 109
ii) 6 × 112
iii) 9 × 105
iv) 17 × 109
v) 16 × 108
vi) 12 × 105
vii) 102 × 103
viii) 101 × 105
ix) 109 × 107
Solution:
i) 763
ii) 672
iii) 945
iv) 1853
v) 1728
vi) 1260
vii) 10506
viii)10605
ix)11663
Question: 8
Write the roman – numerals for each of the following:
i) 33
ii) 48
iii) 76
iv) 95
Solution:
i) XXXIII
ii) XLVIII
iii) LXXVI
iv) XCV
Question: 9
Write the following in roman numerals:
i) 154
ii) 173
iii) 248
iv) 319
Solution:
i) CLIV
ii) CLXXIII
iii) CCXLVIII
iv) CCCXIX
Question: 10
Write the following in roman numerals:
i) 1008
ii) 2718
iii) 3906
iv) 3794
Solution:
i) KVIII
ii) KKDCCXVIII
iii) KKKCKVI
iv) KKKDCCXCIV
Question: 11
Write the following in roman numerals:
i) 4201
ii) 10009
iii) 44000
iv) 25819
Solution:
Question: 12
Write the following in Hindu – Arabic numerical:
i) XXVI
ii) XXIX
iii) LXXII
iv) XCI
Solution:
i) 26
ii) 29
iii) 72
iv) 91
Question: 13
Write the corresponding Hindu – Arabic numerical for each of the following:
i) CIX
ii) CLXXII
iii) CCLIV
iv) CCCXXIX
Solution:
i) 109
ii) 172
iii) 254
iv) 329
Question: 14
Write the corresponding Hindu – Arabic numerical for each of the following:
i) KXIX
ii) KDLXV
iii) KKCXXIII
iv) KKKDCXL
Solution:
i) 1019
ii) 1565
iii) 2123
iv) 3640
Question: 15
Write the following in Hindu – Arabic numerical:
Solution:
i) 4444
ii) 6949
iii) 9391
iv) 70009
Question: 16
Which of the following is meaningless?
ii) KKKCCXI
iii) XD
iv) VC
Solution:
(i) and (iii) are meaningless.
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