PLACE VALUE OF WHOLE NUMBERS AND DIGITS IN DECIMAL

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Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousand, or 5,000. It is important that we understand that whilst a digit can be the same, its value depends on where it is in the number, that is its position in the number. Hence in math’s, every digit in a number has a place value.

 

           

 

Example: find the pace value of each digit in the number 3287236

 

Decimal Place Value

Decimal numbers are  or mixed numbers with denominators of powers of ten. In a decimal number, the digits to the left of the decimal point represent a whole number. The digits to the right of the decimal represent the parts. The place value of the digits becomes 10 times smaller.

The first digit on the right of the decimal point means tenths i.e. .

So,

In the number 27.356,  27 is the whole number part,

2 is in tens place and its place value is 20,

7 is in ones or unit place, and its place value is 7.

There are three digits to the right of the decimal point,

3 is in the tenths place, and its place value is 0.3 or

5 is in the hundredths place, and its place value is 0.05 or

6 is in the thousandths place, and its place value is 0.006 or 

 

Note that the place value of a digit is different from its face value. The face value of a digit is the digit itself, at whatever place it may be. It is unchangeable and definite. But place value changes according to the digit’s place.

 

EVALUATION

1. Find the place value of 7 in the following numbers:

(i) 7531

(ii) 5731

(iii) 5371

(iv) 5137

 

1.  Find the place value of the digits whose position are in the thousand’s place in the following numbers:

(i) 26307

(ii) 58407

(iii) 365219

(iv) 123456

 

1. Find the difference between the place value and face value of 7 in the number 234728.

 

1. Find the difference between the place values of 8 in the following numbers:

(i) 8248

(ii) 688

(iii) 88315

(iv) 28080

 

1. Find the sum of the place values of 5 in the following numbers:

(i) 50005

(ii) 525250

(iii) 55348

(iv) 52756

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