Multiplying/Dividing Decimals

Front

What is the process of 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 being multiplied. 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 convert the divisor (the number you are dividing by) into a whole number by moving the decimal point to the right. Move the decimal point in the dividend (the number being divided) the same number of places. Then, perform the division as you would with whole numbers.

Front

What is the value of 81.9 x 0.5?

Back

The value of 81.9 x 0.5 is 40.95.

Front

How do you find the cost per item when given a total cost and quantity?

Back

To find the cost per item, divide the total cost by the number of items. For example, if the total cost is $35.01 for 9 items, the cost per item is $35.01 ÷ 9 = $3.89.

Front

What is the result of 4.34 ÷ 0.2?

Back

The result of 4.34 ÷ 0.2 is 21.7.

Front

What is the significance of decimal places in multiplication?

Back

Decimal places indicate the precision of a number. In multiplication, the total number of decimal places in the product must equal the sum of the decimal places in the factors.

Front

How do you convert a division problem with decimals into a whole number problem?

Back

To convert a division problem with decimals into a whole number problem, move the decimal point in the divisor to the right until it becomes a whole number, and move the decimal point in the dividend the same number of places.

Front

What is the result of 1.08 ÷ 4?

Back

The result of 1.08 ÷ 4 is 0.27.

Front

What is a common mistake when multiplying decimals?

Back

A common mistake is forgetting to count and place the decimal point correctly in the product.

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How can you check your work after multiplying or dividing decimals?

Back

You can check your work by reversing the operation: if you multiplied, divide the result by one of the original numbers; if you divided, multiply the result by the divisor.