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

= 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

= 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

● 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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