Students who are lagging in the multiplication of decimal fractions can learn the simple methods from here. Multiplication of whole numbers and decimal numbers are similar. The fractions will have common denominators where you have got to add the numerators and denominators will remain unchanged. All you have to do is to multiply the numbers by ignoring the decimal point and write the decimal points after getting the result.
Students are suggested to check out different types of questions on the Multiplication of Decimal Fractions from the below sections. You can also learn What is meant by Multiplication of Decimal Fractions, Steps on how to multiply decimal fractions, and so on.
What is meant by Multiplication of Decimal Fractions?
When a decimal fraction is multiplied by the powers of 10, shift the decimal point to the right by as many places as in the power of 10. If we multiply the given numbers without a decimal point. In the product, the decimal point is marked as many places of decimal as in the sum of the number of decimal places in the given numbers.
How to Multiply Decimal Fractions?
We have the following steps, to multiply the decimal fractions.
1. First, perform the multiplication operation by ignoring the decimal point.
2. Next, place the decimal point in the product value in such a way that the decimal place in the product is the same as the decimal places in the given multiplicand.
Problems on Multiplying Decimal Fractions
Suraj had 0.42 liters of hot water. John had 4 times more hot water than Suraj. How much hot water did John have?
Given that, Suraj had 0.42 liters of hot water and John had 4 times more water than Suraj.
Suraj = 0.42 liters of hot water.
John = 4 x 0.42 liters more hot water.
To find the hot water John they have, we have to multiply hot water liters.
So, multiply 0.42 liters of hot water with 4.
0.42 liters of hot water x 4 times = 1.68 liters of hot water.
So, the total number of liters John had is 1.68 liters of hot water.
Find the product value of 13.2 and 3. Write the final product value.
As given in the question, the values are 13.2 and 3.
Now, we have to perform the multiplication to get the product value.
So, the values are,
13.2 x 3 = 39.6
The multiplicand contains one decimal place, and thus the product must contain one decimal place.
Hence, the final product value is 39.6.
Find the product of 3. 473 x 0.1?
The values are given in the question,
Now, simply multiply the given numbers without considering the decimal point that is 3473 x 1 = 3473.
Next, count the number of decimal places in that number i.e., (3+1) = 4.
Now, put the decimal point after 4 that counts 4 digits from the right.
Thus, the product value is 0.3473.
The price of a 1meter cloth is $23.95. Find the price of 18 meters of cloth?
Given in the question,
The price of a 1meter cloth is $23.95.
Now, we have to find the price of 18 meters of cloth.
Using the multiplication method, we can easily find the price.
So, the values are,
23.95 x 18 = 431.1
Therefore, the price of 18 meters of cloth is $431.1.
Hema bought 14 bags of wheat flour each weighing 5632/100 kg. What will be the total weight of the wheat flour bags?
As given in the question,
The weight of each bag of wheat flour is 5632/ 100 kg = 56.32 kg
Hema bought a total number of wheat flour bags is 14.
Now, we have to find the 14 bags weight using multiplication.
So, the total weight is,
56.32 x 14 = 788.48 kg
Hence, the total 14 bags of wheat flour weight is 788.48 kg.