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.
Workedout problems to find the product of a decimal by a whole number:
Read the above explanation stepbystep 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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