Multippcation of Decimals That Have a Product Less Than 0.1

Multippcation of a decimal by another decimal is similar to whole number multippcation.

Rules for Multippcation of a Decimal by another Decimal

In the multippcation of a decimal number by another decimal, we first multiply the numbers by ignoring the decimal point.

We count the number of places of decimals in both the numbers and add.

We then put the decimal point before as many places in the product from the right as the number obtained in step above.

In this lesson, we are solving problems that involve multippcation of decimals that have a product less than 0.1

Multiply 0.3 × 0.23

Solution

Step 1:

0.3 × 0.23

0.3 has one decimal place and 0.23 has two decimal places, so their product has three decimal places.

Step 2:

So, multiplying 0.3 × 0.23 = 0.069

The product is less than 0.1

Multiply 0.4 × 0.21

Solution

Step 1:

0.4 × 0.21

0.4 has one decimal place and 0.21 has two decimal places, so their product has three decimal places.

Step 2:

So, multiplying 0.4 × 0.21 = 0.084

The product is less than 0.1