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Decimals - EduqasMultiplying decimals

Decimals are used every day, for example, when using money. Knowing how to use decimal points and places when adding, subtracting, dividing and multiplying is an important mathematical skill.

Part of MathsNumber

Multiplying decimals

Multiplying decimals works the same way as multiplying whole numbers.

So, if the question includes one decimal place in total, \(\textup{3.2~脳~6}\), then the answer must include one decimal place, 19.2. If the question has two decimal places in total, \(\textup{4.2~脳~2.8}\), then the answer must have two decimal places, 11.76.

Example

What is \(\textup{3.72~脳~2.3}\)?

First, do the calculation with whole numbers, so work out \(\textup{372~脳~23}\).

Example of long multiplication

Note that there are three decimal places in the calculation (3.72, 2.3), so there needs to be three decimal places in the answer. The answer is therefore 8.556.

Question

What is \(\textup{5.2~脳~8}\)?

Question

What is \(\textup{3.4~脳~5.5}\)?