Rational numbers are the number set that includes many numbers in the form of p/q, in which q is not equal to 0. This set of numbers, whether natural numbers, whole numbers, integers, or any.
Numerator & Denominator
- In rational numbers, i.e., p/q, p is the numerator.
- And in p/q, q is known as the denominator.
- Example: ⅔, 2 is the numerator, and 3 is the denominator.
Types of rational numbers
Rational numbers are of many types. Such as:
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Equivalent number
When the rational numbers get multiplied with the same number on both sides, i.e., numerator and denominator, it forms another rational number set.
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Positive number
The positive set of rational numbers is the one that consists of both numerator and denominator positive.
Example: 5/7, 4/5.
-
Negative number
The positive set of rational numbers is the one that consists of both numerator and denominator negative.
Example: -2/3, -5/7.
Position of rational numbers on a number line
On the number line, the rational numbers are divided according to types.
- The positive numbers will always be presented on the right side of zero.
- And negative numbers are always on the left side of zero.
Note: If the denominator is negative, the complete number is negative.
Rational Numbers Sample Questions for Class 7
Question 1
The product of -44/89 and its additive identity is ______
A. 1
B. 0
C. -89/44
D. -44/89
Question 2
Which of the following is a rational number which lies between 4/5 and 18/30?
A. 16/30
B. 41/60
C. 49/60
D. 27/30
Question 3
The product of a rational number and its multiplicative inverse added to its additive identity is _______.
A. Number itself
B. Reciprocal of a number
C. 1
D. 0
Question 4
Find the sum of product of -4/5 and its multiplicative inverse and product of 5/4 and its multiplicative inverse.
A. 0
B. 1
C. 2
D. -1
Question 5
What should be divided to 15/16 to get answer as -5/6?
A. -2/3
B. -7/6
C. 8/5
D. -9/8