Multiplication and Division of Decimals by 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.

The product is the answer to what type of problem?

• Addition

• Subtraction

• Multiplication

• Division

2.36 × 1,000 =

• 0.0236

• 0.00236

• 2,360

• 23,600

Solve. 
331.2 ÷ 10³

• 33.12

• 0.3312

• 3.312

• 0.03312

7.129 × 100 = 

• 712.9

• 71.29

• 0.7129

• 0.07129

10² x 943.01

• 94301

• 9430.1

• 94.301

• 9.4301

56.73 x 10³

• 56,730

• 5,673

• 5.673

• 567,300

0.149 x 100

• 14.9

• 1.49

• 0.00149

• 1,490