PLACE VALUE OF A NUMBER

The place or position of a digit in a number determines its value.

For example, 5378 is

5 thousands 3 hundreds 7 tens and 8 ones

5000 + 300 + 70 + 8

Example 1 :

Write the number represented by the digit 6.

362

Solution :

362 = 3 hundreds 6 tens 2 ones

6 is in the ten's place. So, 6 x 10 = 60.

Example 2 :

Write the number represented by the digit 7.

175 236

Solution :

175 236

In the given number above, place value of 7 is 70000.

Example 3 :

Write the following number in words.

(i) 91 (ii) 9807 (iii) 43670

Solution :

(i) 91

In words : Ninety one

(ii) 9807

In words : Nine thousand eight hundred and seven.

(iii) 43670

In words : Forty three thousand six hundred seventy.

Example 4 :

Write the following numbers.

a) one less than nine  b) two greater than ten

c) one less than 200  d) 2 more than 3000

e) the largest two digit number.

Solution :

a) 9-1 = 8  b) 10+2 = 12  c) 200-1 = 199

d) 3000+2 = 3002  e) 99

Example 5 :

Express in simplest form:

a) 90 + 7 

b) 400 + 30 + 6

c) 8000 + 4

Solution :

a) 90 + 7 = 97

b) 400 + 30 + 6 = 436

c) 8000 + 4 = 8004

Example 6 :

Write in expanded form:

a) 730

b) 4871

c) 68 904

Solution :

a) 730 = 700 + 30 + 0

b) 4871 = 4000 + 800 + 70 + 1

c) 68 904 = 60000 + 8000 + 900 + 0 + 4