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Multiplying and Dividing Decimals Study Guide (page 3)

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Updated on Oct 4, 2011

Multiplying and Dividing Decimals Sample Questions

  1. 3.26 × 2.7
  2. 0.4 × 0.2

Solutions to Sample Questions

Question 1

1. Multiply 326 times 27:
2. Because there are a total of three decimal digits in 3.26 and 2.7, count off three places from the right in 8802 and place the decimal point to the left of he third digit you counted (8):
3. Reasonableness check: Round both numbers to the nearest whole number and multiply: 3 × 3 = 9, which is reasonably close to your answer of 8.802.  

Question 2

1. Multiply 4 times 2:
2. The answer requires two decimal digits. Because there is only one digit in the answer (8), tack one zero onto the left:
3. Put the decimal point at the front of the number (which is two digits in from the right):
4. Reasonableness check: Round both numbers to the nearest whole number and multiply: 0 × 0 = 0, which is reasonably close to your answer of 0.08.  

Question 3

1. Move the decimal point straight up into the quotient:
2. Divide:
3. Check: Multiply the quotient (0.025) by the divisor (5).
  Since you got back the dividend (0.125), the division is correct.  

Question 4

1. Because there are two decimal digits in 0.06, the decimal point must be moved two places to the right in both numbers. Since there aren't enough decimal digits in 3, tack a decimal point and two zeros onto the end of 3 before moving the decimal point:
2. Move the decimal point straight up into the quotient:
3. Divide using the new numbers:
4. Check: Multiply the quotient (50) by the original divisor (0.06).
  Since you got back the original dividend (3), the division is correct.  

Find practice problems and solutions for these concepts at Multiplying and Dividing Decimals Practice Questions.

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