# How to multiply decimals by decimals step by step

## Multiplying decimals example Multiplying Decimals. Multiply without the decimal point, then re-insert it in the correct spot! How to Multiply Decimals. Just follow these steps: Multiply normally .

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Student 1 found a product of 0. Which student had the correct answer? In the problem above, the product 0. This is because you are finding a part of a part: 0. Thus, when you multiply two decimal factors, where each is less than one, the product will be less than each individual factor.

Multiplying a decimal by a whole number Multiplying decimals by decimals Rule for multiplying decimals Quick Quiz. Multiplication of decimals relies on knowing how to multiply whole numbers, understanding place value, and appreciating the various multiplication situations involving decimals. The endless base ten chain shows the consistency of the base ten place value system from whole numbers to decimals. As with whole number multiplication, the order of the numbers being multiplied does not affect the product. This is called the commutative property of multiplication. Multiplying a decimal by a whole number. Multiplying decimals relies on adapting multiplication of whole numbers.

Lastly, it shows the common shortcut to decimal multiplication multiply as if there were no decimal points; the answer has as many decimals as the factors have in total. In the video below, I explain the rule for multiplying decimals put as many decimal digits in the answer as there are in the factors. I explain where this rule comes from, using fraction multiplication. The lesson continues below the video. However, this concept does not work when neither of the factors is a whole number, as in 0.

To multiply decimal numbers: Multiply the numbers just as if they were whole numbers. Line up the numbers on the right - do not align the decimal points.
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In Table 1, we are multiplying the decimal 0. Each time we multiply by a power of 10, the decimal point is moved one place to the right. In Table 2, we are dividing the whole number , Each time we divide by a power of 10, the decimal point is moved one place to the left. These patterns occur because a decimal is any number in our base-ten number system, and decimal places change by a factor of As you can see in the problem above, multiplying one factor by a power of 10 and dividing the other factor by the same power of 10 maintains the equality of the expression.

## Use an area model to multiply decimals by decimals

Arithmetic Basics: Multiplying Decimals

## Multiplying Decimals

Multiplying decimals may look tricky, but it's quite simple if you know how to multiply whole numbers. You can multiply numbers with decimals just as you would multiply whole numbers, as long as you remember to factor in the decimals at the end of the problem. So how do you do it? Follow these steps to find out. To multiply decimals, line up the numbers vertically so that the decimal points are in the same position. Then, multiply as normal and temporarily ignore the decimal points. Once you have your answer, count how many numbers in each of the original factors are to the right of the decimal point.

Suppose you're multiplying a decimal by a whole number, say 0. This is the same as adding the decimal three times: 0. You can think of it as follows: If three friends each have 12 cents, together, they have a total of 36 cents. It's a bit trickier when both numbers are decimals. Take the problem 0.