# Multiplying Decimal by a Whole Number

Multiplying decimal by a whole number is just same like multiply as usual.

How to multiply a decimal by a whole number?

To multiply a decimal by a whole number follow the below steps:

Multiply the decimal without the decimal point by the whole number.

Remember to mark the decimal point in the product from right to left according to the number of decimal places in the given decimal number.

Worked-out problems to find the product of a decimal by a whole number:

Read the above explanation step-by-step and try to understand the examples on multiplication of decimals.

1. Find the product:

(i) 5.36 × 8

= 536 × 8 (Find the product without the decimal point)

= 4288

Since, 5.36 has two decimal places.

Therefore, 5.36 × 8 will also have two decimal places.

Therefore, 5.36 × 8 = 42.88

(ii) 11.71 × 12

= 1171 × 12 (Find the product without the decimal point)

= 14052

Since, 140.52 has two decimal places.

Therefore, 11.71 × 12 will also have two decimal places.

Therefore, 11.71 × 12 = 140.52

Word problems on multiplication decimal by a whole number:

2. The length and breadth of a rectangle are 8.15 m and 3.36 m. Find the area of the rectangle.

Solution:

Length of the rectangle = 8.15 m

Breadth of the rectangle = 3.36 m

Area of the rectangle = (8.15 × 3.36) m2 = 27.384 m2

3. The length and breadth of a rectangle are 12.82 m and 5 m. Find the area of the rectangle.

Solution:

Length of the rectangle = 12.82 m

Breadth of the rectangle = 5 m

Area of the rectangle = (12.82 × 5) m2 = 64.1 m2

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