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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