Multiplying Decimal by a Decimal Number

Multiplying decimal by a decimal number is just same like multiply as usual.


How to multiply a decimal by a decimal number?

To multiply a decimal by a decimal number follow the below steps:

Multiply the decimal numbers as usual without the decimal point.

Count the number of decimal places in the multiplicand and the multiplier

Remember to mark the decimal point in the product obtained from the right such that the number of decimal places in the product is equal to the sum of decimal places in the two decimal numbers.


Worked-out problems to find the product of the decimal numbers:

Read the above explanation step-by-step and try to understand the examples on multiplication of decimals.

1. Multiply:

(i) 73.47 by 0.63

Solution:

73.47 × 0.63

Multiply the two decimal numbers without the decimal point.

7347 × 63

Multiplying Decimal by a Decimal Number









= 462861

The sum of the decimal places of the two decimal numbers is 2 + 2 = 4

So, the product of two decimal numbers will have 4 decimal places

Therefore, 73.47 × 0.63 = 46.2861


(ii) 590.3 by 17.8

Solution:

590.3 × 17.8

Multiply the two decimal numbers without the decimal point.

5903 × 178

Product of the Decimal Numbers









= 1050734

The sum of the decimal places of the two decimal numbers is 1 + 1 = 2

So, the product of two decimal numbers will have 2 decimal places

Therefore, 590.3 × 17.8 = 10507.34


Word problems on multiplying decimal by a decimal number:

2. Find the cost of 15.8 kg of rice if the cost of 1 kg of rice is $32.

Solution:

Cost of 1 kg rice = $32

Quantity of rice = 15.8 kg

Cost of 15.8 kg s rice = 32 × 15.8 = $505.6


3. Find the cost of 137.5 m cloth if the cost of 1 m cloth is $47.6.

Solution:

Cost of 1 m cloth = $47.6

Length of cloth = 137.5 m

Cost of 137.5 m cloth = 47.6 × 137.5 = $6545.00 = $6545

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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