Learn Class 7 Math - Rational Numbers

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:

  • 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.

  • 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