Multiplying and Dividing Decimals Worksheet

Question 1

Multiply: 3.4 x 2.5

Accepted Answer

The product is 8.5. You can multiply 34 x 25 = 850 and then place the decimal two places from the right.

Question 2

Multiply: 0.6 x 0.08

Accepted Answer

The product is 0.048. Multiply 6 x 8 = 48 and place the decimal three places from the right because there are three decimal places total in the factors.

Question 3

Multiply: 12.3 x 0.4

Accepted Answer

The product is 4.92. Multiply 123 x 4 = 492 and place the decimal two places from the right.

Question 4

Multiply: 5.75 x 1.2

Accepted Answer

The product is 6.9. Multiply 575 x 12 = 6900 and place the decimal three places from the right.

Question 5

Find the area of a rectangle with length 4.8 cm and width 2.5 cm.

Accepted Answer

The area is 12 square centimeters. Multiply 4.8 x 2.5 to get 12.

Question 6

Divide: 7.2 divided by 3

Accepted Answer

The quotient is 2.4. Since 72 tenths divided by 3 equals 24 tenths, the answer is 2.4.

Question 7

Divide: 15.75 divided by 5

Accepted Answer

The quotient is 3.15. Dividing 15.75 by 5 gives 3.15 exactly.

Question 8

Divide: 0.84 divided by 0.2

Accepted Answer

The quotient is 4.2. Multiply both numbers by 10 to make the divisor a whole number, so 0.84 divided by 0.2 becomes 8.4 divided by 2.

Question 9

Divide: 6.72 divided by 0.8

Accepted Answer

The quotient is 8.4. Multiply both numbers by 10 so the problem becomes 67.2 divided by 8.

Question 10

Divide: 3.375 divided by 1.5

Accepted Answer

The quotient is 2.25. Multiply both numbers by 10 to get 33.75 divided by 15, then divide.

Question 11

A bag of trail mix weighs 2.4 kilograms. It is split equally into 6 smaller bags. How many kilograms are in each smaller bag?

Accepted Answer

Each smaller bag has 0.4 kilograms. Divide 2.4 by 6 to find the amount in each bag.

Question 12

A rope that is 9.6 meters long is cut into pieces that are each 0.8 meter long. How many pieces are made?

Accepted Answer

There are 12 pieces. Divide 9.6 by 0.8, or think of 96 divided by 8 after multiplying both numbers by 10.

Question 13

Estimate first, then solve: 4.19 x 3.2

Accepted Answer

A reasonable estimate is 4 x 3 = 12. The exact product is 13.408, which is close to the estimate.

Question 14

Estimate first, then solve: 8.64 divided by 2.4

Accepted Answer

A reasonable estimate is 9 divided by 2.5, which is about 3.6. The exact quotient is 3.6.

Question 15

A student says that 2.5 x 0.4 = 10 because 25 x 4 = 100. Explain the mistake and give the correct answer.

Accepted Answer

The mistake is that the decimal places were ignored at the end. Since 2.5 has one decimal place and 0.4 has one decimal place, the product must have two decimal places. The correct answer is 1.0, or 1.

Multiplying and Dividing Decimals

Multiplying and Dividing Decimals

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