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Chapter 8: Rational Numbers > Positive and Negative Rational Numbers

Positive and Negative Rational Numbers

Consider the rational number 23. Both the numerator and denominator of this number are positive integers. Such a rational number is called a rational number.

So, 34,57,29 etc. are positive rational numbers.

The numerator of −35 is a negative integer, whereas the denominator is a positive integer. Such a rational number is called a rational number.

So, −57, −38, −95 etc.are negative rational numbers.

Is 8−3 a negative rational number?

Instruction

Is 8−3 a negative rational number?
We know that 8−3 = 8×−1−3×−1 = ,
and 8−3 is a rational number.
So, 8−3 is a negative rational number.

1. Is 5 a positive rational number?

Solution:

5 is a Rational Number as it can be expressed in the form of 51.

2. List five more positive rational numbers.

Solution:

Instruction

12
34
-2
-34
1.5
78
2
Positive Rational Numbers
Negative Rational Numbers

The number 0 is neither a positive nor a negative rational number.

what about −3−5?

Instruction

−3−5

  • Multiply both the numerator and denominator with −1
  • This gives us:
  • So −3−5 is a rational number.

1. Is – 8 a negative rational number?

Solution:

-8 or −8 1 is a negative rational number, because its numerator is a negative integer.

2. List five more negative rational numbers.

Instruction

−13
12
-2
-34
2
−79
−114
Negative Rational Numbers
Positive Rational Numbers

1. Which of these are negative rational numbers?

Instruction

−23
−2−9
57
3−5
0
611
Negative Rational Numbers
Positive Rational Numbers