Multiplying and Dividing Decimals

Front

What is a decimal?

Back

A decimal is a fraction whose denominator is a power of ten, represented with a dot (decimal point) separating the whole number from the fractional part.

Front

How do you multiply decimals?

Back

To multiply decimals, multiply the numbers as if they were whole numbers, then count the total number of decimal places in both numbers and place the decimal point in the product accordingly.

Front

What is the product of 3.7 and 0.43?

Back

1.591

Front

How do you divide decimals?

Back

To divide decimals, move the decimal point in the divisor to the right until it is a whole number, then move the decimal point in the dividend the same number of places and divide as usual.

Front

What is 2.07 ÷ 0.9?

Back

2.3

Front

What does rounding to the nearest tenth mean?

Back

Rounding to the nearest tenth means adjusting a number to one decimal place, where you look at the hundredths place to decide whether to round up or down.

Front

What is the quotient of 5.69 ÷ 7.8 rounded to the nearest tenth?

Back

0.7

Front

What is the product of 56.9 and 3.1?

Back

176.39

Front

What is the importance of the decimal point in multiplication?

Back

The decimal point indicates the value of the digits in a number, and its placement affects the size of the product.

Front

How do you check your work after multiplying decimals?

Back

You can check your work by estimating the product and ensuring your answer is reasonable based on the numbers you multiplied.