Question

How to put 412.638 in expanded form using decimals

Answer 1

The correct answer is:

400 + 10 + 2 + 0.6 + 0.03 + 0.008.

Explanation:

To write a number in expanded form, we use place values.

4 is in the hundreds place; this makes its value 400.

1 is in the tens place; this makes its value 10.

2 is in the ones place; this makes its value 2.

6 is in the tenths place; this makes its value 0.6.

3 is in the hundredths place; this makes its value 0.03.

8 is in the thousandths place; this makes its value 0.008.

To write this together, we find the sum:

400 + 10 + 2 + 0.6 + 0.03 + 0.008.

Answer 2

We can write 412.638 as 

$412.638 = 400 + 10 + 2 + 0.6+0.03+0.008$

                     $= 4*10^2 + 10 + 2 + 6*10^{-1}+ 3*10^{-2} + 8*10^{-3}$

So this is required expanded form of the given number.