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

Which of the following are not equivalent rational numbers?
A. -22/90, -11/45,-88/360
B. 56/78,28/39, 280/380
C. 6/7, 138/168,204/238
D. 105/99, 35/33, 210/198

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

What should be multiplied with -5/7 so that you get answer as 1?
A. Its multiplicative identity
B. Its multiplicative inverse
C. Its additive identity
D. Its additive inverse

Question 5

The product of -44/89 and its additive identity is ______
A. 1
B. 0
C. -89/44
D. -44/89