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
Express -322/391 in standard form.
A. 14/17
B. 17/19
C. -14/17
D. -17/19
Question 2
Which of the following is an equivalent fraction of 45/56?
A. 495/616
B. 405/448
C. 315/448
D. 585/728
Question 3
Which of the following statement is false?
A. Every integer is a rational number
B. Not all fractions are rational number
C. All rational numbers are fractions
D. Zero is also a rational number
Question 4
What is the product of sum of (1/4) and (-3/2) and its multiplicative inverse?
A. -5/4
B. 1
C. 4/5
D. -1
Question 5
What is the difference between sum of -31/14 and -12/7 and sum of 23/7 and 33/28?
A. 255/14
B. -235/28
C. -204/28
D. 221/7