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

What is the sum of -11/6 and its multiplicative inverse?
A. 0
B. 1
C. -121/66
D. -157/66

Question 2

What should be added to -8/7 to get - 9/21 ?
A. 3/7
B. 5/7
C. 8/7
D. 2/7

Question 3

Which of the following is an equivalent fraction of 45/56?
A. 495/616
B. 405/448
C. 315/448
D. 585/728

Question 4

Express -322/391 in standard form.
A. 14/17
B. 17/19
C. -14/17
D. -17/19

Question 5

What should be added to the sum of -2/3 and 5/6 so that you get answer as -7/12?
A. 5/6
B. -3/4
C. 8/11
D. -9/10