Multiplying Decimals with Power of 10

When the divisor is a decimal: 1st step is

• Multiply the divisor by a power of 10 to make it a whole number. (Move the decimal to the right)

• Multiply the dividend by the same power of 10. (Move decimal to the same number of spaces as the divisor)

• Place the decimal in the quotient directly above the decimal in the dividend.

• Find the answer.

When the divisor is a decimal:

2nd step is

• Multiply the divisor by a power of 10 to make it a whole number. (Move the decimal to the right)

• Multiply the dividend by the same power of 10. (Move decimal to the same number of spaces as the divisor)

• Place the decimal in the quotient directly above the decimal in the dividend.

• Find the answer.

When the divisor is a decimal: 3rd step is

• Multiply the divisor by a power of 10 to make it a whole number. (Move the decimal to the right)

• Multiply the dividend by the same power of 10. (Move decimal to the same number of spaces as the divisor)

• Place the decimal in the quotient directly above the decimal in the dividend.

• Find the answer.

When multiplying a decimal by a power of 10, the decimal point gets moved to the...

• right 

• left

• It doesn't move at all

10² x 0.56

• 560 

• 5600

• 5.6

• 56.0

12.875 x 10³ =

• 12875

• 128.75

• 1287.5 

• None of the above

3.45 x 10³

• 0.345 

• 3.45 

• 3450

• 34.5

How many places does the decimal get moved to the right in the following problem:
5.682 x 10³

• 1 

• 2

• 3

• 4

How many places does the decimal get moved to the right in the following problem:
5.682 x 103

• 1

• 2

• 3

• 4