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.

Learning Videos for 7th Grade Math - Rational Numbers

Rational Numbers Sample Questions for Class 7

Question 1

If you add -3/4 and -2/8, where would your answer be on the number line?
A. A
B. B
C. C
D. D

Question 2

David knows that it's common to tip waiters 15% of your total bill in a restaurant. If he wants to spend as close as possible to $35.00 without going over, which menu item should he select?
A. The Salmon - $17.98
B. The Lobster - $31.95
C. The Soup - $29.98
D. The Chef's Special - $32.00

Question 3

A merry-go-round has a diameter of 25 feet. What is the approximate circumference of the merry-go-round?
A. 78.5 ft
B. 157 ft
C. 235.5 ft
D. 314 ft

Question 4

21% of 54 is what number?
A. 2.57
B. 38.89
C. 11.34
D. None of the above

Question 5

As a salesperson you get $50/day and $2.60/each sale you make. If you want to make at least $89 in one day, how many sales would you need to make?
A. 10
B. 15
C. 20
D. 25