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) m^{2} = 27.384 m^{2}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) m^{2} = 64.1 m^{2}● Related Concept
● Decimals
● Conversion of Unlike Decimals to Like Decimals
● Decimal and Fractional Expansion
● Converting Decimals to Fractions
● Converting Fractions to Decimals
● H.C.F. and L.C.M. of Decimals
● Repeating or Recurring Decimal
● BODMAS/PEMDAS Rules - Involving Decimals
● PEMDAS Rules - Involving Integers
● PEMDAS Rules - Involving Decimals
● BODMAS Rules - Involving Integers
● Conversion of Pure Recurring Decimal into Vulgar Fraction
● Conversion of Mixed Recurring Decimals into Vulgar Fractions
● Rounding Decimals to the Nearest Whole Number
● Rounding Decimals to the Nearest Tenths
● Rounding Decimals to the Nearest Hundredths
● 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
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