Decimal Multippcation

Decimal multippcation is similar to whole number multippcation.

Rules for Decimal Multippcation

First we multiply the decimal numbers as if they were whole numbers by ignoring the decimal points.

The number of digits after the decimal point in both the numbers are counted and added.

In the final product, a decimal point is placed before that many digits from the right.

Multiply 0.07 × 2.3

Solution

Step 1:

0.07 × 2.3

Multiplying without decimal points 7 × 23 = 161

Step 2:

The number of decimal places in 0.07 is 2

The number of decimal places in 2.3 is 1

Step 3:

So the product has three decimal places i.e.,0.07 × 2.3 = 0.161

Multiply 0.06 × 3.1

Solution

Step 1:

0.06 × 3.1

Multiplying without decimals 6 × 31 = 186

Step 2:

The decimal places in 0.06 is 2

The decimal places in 3.1 is 1

Step 3:

So the product has three decimal places i.e., 0.06 × 3.1 = 0.186