Multiplying Decimal By A Whole Number | Step-by-step Explanation

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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.

Multiplying Decimal by a Whole Number Video

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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

● 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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