HOW TO WRITE DECIMALS IN EXPANDED FORM

Expanded form :

Expanded form is the sum of each digit multiplied by its matching place value, whereas in expanded form, addition is only used between place value numbers.

To write a Decimal in expanded form, there are two methods.

Method 1 :

52.504

Step 1 :

Write the digits in the place values table.

Step 2 :

Write down the sum of each digit multiplied by its place value.

= (5 × 10) + (2 × 1) + (5 × 1/10) + (0 × 1/100) + (4 × 1/100)

= 50 + 2 + 5/10 + 4/100

Method 2 :

53.707

The decimal 53.707 can be expanded as,

= 50 + 3 + 0.7 + 0.007

= 50 + 3 + 7/10 + 7/1000

Express the following in Expanded Form :

Problem 1 :

3.6

Solution :

= 3.6

The decimal 3.6 can be expanded as,

= 3 + 0.6

= 3 + 6/10

Problem 2 :

8.07

Solution :

= 8.07

The decimal 8.07 can be expanded as,

= 8 + 0.07

= 8 + 7/100

Problem 3 :

0.123

Solution :

= 0.123

The decimal 0.123 can be expanded as,

= 0.1 + 0.02 + 0.003

= 1/10+ 2/100 + 3/1000

Problem 4 :

2.061

Solution :

= 2.061

The decimal 2.061 can be expanded as,

= 2 + 0.06 + 0.001 

= 2 + 6/100 + 1/1000

Problem 5 :

3.0071

Solution :

= 3.0071

The decimal 3.0071 can be expanded as,

= 3 + 0.007 + 0.0001 

= 3 + 7/1000 + 1/10000

Problem 6 :

0.00054

Solution :

= 0.00054

The decimal 0.00054 can be expanded as,

= 0.0005 + 0.00004 

= 5/10000 +4/100000

Problem 7 :

3.058

Solution :

= 3.058

The decimal 3.058 can be expanded as,

= 3 + 0.05 + 0.008 

= 3 + 5/100 + 8/1000

Problem 8 :

0.0632

Solution :

= 0.0632

The decimal 0.0632 can be expanded as,

= 0.06 + 0.003 + 0.0002

= 6/100 + 3/1000 + 2/10000

Problem 9 :

0.00607

Solution :

= 0.00607

The decimal 0.00607 can be expanded as,

= 0.006 + 0.00007

= 6/1000 + 7/100000