Multiplying with Decimals

Front

What is a decimal?

Back

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

Front

How do you multiply a whole number by a decimal?

Back

To multiply a whole number by a decimal, multiply as if there were no decimal, then count the total number of decimal places in the numbers being multiplied and place the decimal in the product accordingly.

Front

What is the product of 3.5 and 2?

Back

The product is 7.0.

Front

What is the product of 0.6 and 4?

Back

The product is 2.4.

Front

How do you align numbers when multiplying decimals?

Back

Align the numbers by their rightmost digits, ignoring the decimal points, and multiply as you would with whole numbers.

Front

What is the product of 0.25 and 0.4?

Back

The product is 0.1.

Front

What is the importance of decimal places in multiplication?

Back

Decimal places determine the precision of the result; the more decimal places, the more accurate the answer.

Front

What is the product of 5.6 and 2.5?

Back

The product is 14.0.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal over 1, multiply the numerator and denominator by 10 for each digit after the decimal point, and simplify.

Front

What is the product of 1.2 and 3.5?

Back

The product is 4.2.