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.
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
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
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
Therefore, 23.5 m of cloth is needed for 10 such shirts.