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Home >> Decimal >> Multiplication of Decimals >> Properties Multiplication of Decimals >> Property 2 >>

Property 2 - When a decimal is multiplied by another decimal, decimal places in product are equal to the sum of decimal places in multiplicand and multiplier

Property 1 Property 2 Property 3 Property 4 Property 5
Property 6

Property 2 explains that when a decimal is multiplied by another decimal, decimal places in product are equal to sum of decimal places in multiplicand and multiplier.

Example - Multiply 4.9 with 1.8 and we get
4.9 X 1.8 = 8.82

Now you can notice that:
Product 8.82 has two decimal place i.e. digit 8 and 2
Multiplicand 4.9 has one decimal place i.e. digit 9
Multiplier 1.8 has one decimal place i.e. digit 8

And this shows:
One decimal place of multiplicand + one decimal place of multiplier = two decimal places of product

Let's try few more examples:

9.01 X 2.3 = 20.723
16.34 X 1.41 = 23.0394
7.217 X 3.28 = 23.67176
0.234 X 1.478 = 0.345852

Hence, above example clarifies that when a decimal is multiplied by another decimal, decimal places in product are equal to sum of decimal places in multiplicand and multiplier.

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