Question

Which shows 0.124 in expanded form? A. ( 1 × 1 10 ) + ( 2 × 1 100 ) + ( 4 × 1 1000 ) B. 1 + ( 2 × 1 100 ) + ( 4 × 1 1000 ) C. 1 + ( 2 × 1 10 ) + ( 4 × 1 100 ) D. ( 1 × 1 10 ) + ( 20 × 1 100 ) + ( 400 × 1 1000

Answer 1

A. ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )

Explanation:

A number is written in expanded form if it shows the sum of the values of the individual digits that make up the number.

To write 0.124 in expanded form, follow these steps:

(i) Take the digits one after the other and multiply it by its value depending on its place.

Taking the first digit - 0

The value is 0 unit, where a unit is 1

Now multiply 0 by 1

=> 0 x 1

=> 0

Taking the second digit - 1

The value is 1 tenth, where a tenth is 1 / 10

Now multiply 1 by 1 / 10

=> 1 x 1 / 10

Taking the third digit - 2

The value is 2 hundredth, where a hundredth is 1 / 100

Now multiply 2 by 1 / 100

=> 2 x 1 / 100

Taking the fourth digit - 4

The value is 4 thousandth, where a thousandth is 1 / 1000

Now multiply 4 by 1 / 1000

=> 4 x 1 / 1000

(ii) Add the results obtained in (i) above

=> (0 x 1) + ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)

=> ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)

Therefore,

0.124 in expanded form is ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )