We will discuss here how to solve the word problems on multiplication of decimal fractions.
To multiply a decimal number:
(i) Perform the multiplication ignoring decimal point.
(ii) Place the decimal point in the product to get as many decimal places in the product as there are in the multiplicant.
Solved examples on word problems on multiplication of decimal fractions:
1. Find the product of 12.2 and 4.
12.2
× 4
48.8
Here the multiplicant contains one decimal place, so the product must contain one decimal place.
2. Price of 1
metre cloth is $ 49.75. Find the price of 16 metres of cloth.
Price of 1 metre cloth = 49.75
Price of 15 metres of cloth = × 6
29850
49750
796.00
Thus, price of 16 metres of cloth = $ 796
3. A train can run 45.8 km in one hour. What will be the distance travelled by the train in 5 hours?
Distance covered by train in 1 hour = 45.8 km
Distance covered by train in 5 hours = 45.8
× 5
229.0
Therefore, in 5 hours train will travel 229 km.
4. 2.35 m of cloth is needed to make a shirt. How many metre of cloth is needed to make 10 such shirts?
Cloth needed for 1 shirt = 2.35 m
Cloth needed for 10 shirts = 2.35
× 10
23.5
Therefore, 23.5 m of cloth is needed for 10 such shirts.
● Decimal.
Expanded form of Decimal Fractions.
Changing Unlike to Like Decimal Fractions.
Comparison of Decimal Fractions.
Conversion of a Decimal Fraction into a Fractional Number.
Conversion of Fractions to Decimals Numbers.
Addition of Decimal Fractions.
Problems on Addition of Decimal Fractions
Subtraction of Decimal Fractions.
Problems on Subtraction of Decimal Fractions
Multiplication of a Decimal Numbers.
Multiplication of a Decimal by a Decimal.
Properties of Multiplication of Decimal Numbers.
Division of a Decimal by a Whole Number.
Division of Decimal Fractions by Multiples.
Division of a Decimal by a Decimal.
Division of a whole number by a Decimal.
Conversion of fraction to Decimal Fraction.
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