Multiplying and Dividing Decimals

Front

What is the process for multiplying decimals?

Back

To multiply decimals, first multiply the numbers as if they were whole numbers. Then, count the total number of decimal places in both numbers. The product should have the same number of decimal places as the total counted.

Front

How do you divide decimals?

Back

To divide decimals, first move the decimal point in the divisor (the number you are dividing by) to the right until it is a whole number. Move the decimal point in the dividend (the number being divided) the same number of places to the right. Then, divide as you would with whole numbers.

Front

What is the result of multiplying 14.5 by 1.24?

Back

The result is 17.98.

Front

If a car uses 7.2 gallons of gas to drive 129.6 miles, how do you find miles per gallon?

Back

To find miles per gallon, divide the total miles driven by the gallons of gas used: 129.6 miles ÷ 7.2 gallons = 18 miles per gallon.

Front

What is 72 divided by 0.09?

Back

72 ÷ 0.09 = 800.

Front

What is 1.4 divided by 0.25?

Back

1.4 ÷ 0.25 = 5.6.

Front

What is the importance of understanding decimal placement in multiplication?

Back

Understanding decimal placement is crucial because it determines the accuracy of the product. The correct placement of the decimal point ensures that the value of the answer is correct.

Front

How can you check your work after multiplying decimals?

Back

You can check your work by estimating the product. Round the decimals to the nearest whole number, multiply, and see if your answer is close to the estimated product.

Front

What is a common mistake when dividing decimals?

Back

A common mistake is forgetting to move the decimal point in both the divisor and the dividend the same number of places, which can lead to an incorrect answer.

Front

What is the relationship between multiplication and division of decimals?

Back

Multiplication and division of decimals are inverse operations. Understanding how to multiply decimals helps in understanding how to divide them, as both require attention to decimal placement.