The term decimal refers to the number system that helps in expressing the fraction & whole numbers. The number present in the decimal consists of a ‘.’ symbol in it. In comparison, the term fraction refers to a number system always presented in the form of a / b.
When we have to convert the decimal number to a fraction, we have to remove the dot, i.e., 1.5 is a decimal number, and when we convert it into a fraction, it will be 15/10, i.e., 3/2. Or 2.5 is a decimal number, whereas 25/10 is a fraction. And it is equal to 5/2.
Types of Decimals
The different types of decimals are discussed here below:
1. Recurring Decimal Number:
- These are the decimals that get repeated. Or they are non-terminating decimals.
- Example: 2.125125 is a finite number. And 2.12121212…. is an infinite number.
2. Decimal fraction:
- The decimal fraction is a type of fraction that contains the power in ten.
- Example: 81.65 = 8165/100.
3. Non-recurring Decimal Number:
- These are the types of decimal numbers that come in the category of non-repeating. Or they are the terminating numbers.
- Example: 2.3476 is a finite number. And 2.1456 is an infinite number.
Fractions and Decimals Sample Questions for Class 7
Question 1
Find the product of :
0.04 × 3.56 × 2.1 .
A. 0.29904
B. 0.20994
C. 0.24990
D. 0.29490
Question 2
How many pieces of plywood , each of 0.65 cm thick will be required to make pile of 3.38 m high?
A. 486
B. 565
C. 520
D. 480
Question 3
Milk is sold at ₹ 23(3/4) per litre. Find the cost of 5(1/2) litres of milk.
A. ₹130(8/5)
B. ₹124(3/4)
C. ₹130(5/8)
D. ₹124(4/3)
Question 4
Find value :
(11.11 × 1.1 ) + ( 111/100 × 111/10)
A. 20.426
B. 24.121
C. 24.542
D. 26.850
Question 5
0.5 of the children like science, 1 /5 th of the remaining children like Social.5 children like Maths and 3 children like English. How many children like social?
A. 5
B. 2
C. 4
D. 6