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)

Multiplying Decimal by a Whole Number






= 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)

Product of a Decimal by a Whole Number







= 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

Related Concept

Decimals

Decimal Numbers

Decimal Fractions

Like and Unlike Decimals

Comparing Decimals

Decimal Places

Conversion of Unlike Decimals to Like Decimals

Decimal and Fractional Expansion

Terminating Decimal

Non-Terminating Decimal

Converting Decimals to Fractions

Converting Fractions to Decimals

H.C.F. and L.C.M. of Decimals

Repeating or Recurring Decimal

Pure Recurring Decimal

Mixed Recurring Decimal

BODMAS Rule

BODMAS/PEMDAS Rules - Involving Decimals

PEMDAS Rules - Involving Integers

PEMDAS Rules - Involving Decimals

PEMDAS Rule

BODMAS Rules - Involving Integers

Conversion of Pure Recurring Decimal into Vulgar Fraction

Conversion of Mixed Recurring Decimals into Vulgar Fractions

Simplification of Decimal

Rounding Decimals

Rounding Decimals to the Nearest Whole Number

Rounding Decimals to the Nearest Tenths

Rounding Decimals to the Nearest Hundredths

Round a Decimal

Adding Decimals

Subtracting Decimals

Simplify Decimals Involving Addition and Subtraction Decimals

Multiplying Decimal by a Decimal Number

Multiplying Decimal by a Whole Number

Dividing Decimal by a Whole Number

Dividing Decimal by a Decimal Number





7th Grade Math Problems

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