CLASS 6TH | UNIT 1: NUMBERS | PLACE VALUE | REVISION NOTES

PLACE VALUE

Place value is one of the fundamental concepts in mathematics.It is important as it helps students to understand the meaning of a number. Place value is needed to understand the order of numbers as well. The concept that numbers can be broken apart and put back together gives the student a better understanding of how different mathematical operations work. It will be easy for the student to carry out operations such as addition, subtraction, multiplication, division, expanded notation, etc.

Place value of any digit is the value of digit according to its position in the number.

• Place value of a digit depends upon the position it occupies in the number.
• Largest number of n digit + 1 = smallest number of (n + 1) digits.
• Smallest  number of n digit – 1 = Largest number of (n – 1) digits.
• A concrete number is a number which refers to a particular unit and is meaningful such as 8 meters, 12 kg etc.,
• An abstract number is a number which does not refer to any particular unit such as 8, 12 etc.,

Let us consider some examples:

Example 1:

Write the place value of both the six in the number 36268 and find the sum of these values.

Solution:

In 36268, place value is 6000.

The other 6 at ten’s place, so its place value is 60.

Sum = 6000 + 60 = 6060

Example 2:

Write the place value of both the five in number 9,45,582 and find the difference of these place values.

Solution: 

In 9,45,582, place value is 5000. The other 5 at hundred’s place, so its place value is 500.

Required sum = 5000 – 500 = 4500.

Example 3:

Find the place value of 7 in number 5731?

Solution: 

Place value of 7 is 700.

Example 4:

Write the largest 4 digit number having 3 in tens place?

Solution:

Largest 4 digit number is 9837.