Which of the following rational numbers is in standard form?
(a) 20/30
(b) 10/4
(c) 1/2
(d) 1/-3

Solution:

We have to find the rational number in standard form.

A number that can be expressed in the form p/q, where p and q are integers and q ≠ 0, is called a rational number.

From the given options,

Considering 20/30

On further simplification, 20/30 = (2 × 10)/(3 × 10)

= 2/3

Therefore, 20/30 is not in standard form.

Considering 10/4

On further simplification, 10/4 = (2 × 5)/(2 × 2)

= 5/2

Therefore, 10/4 is not in standard form.

Considering 1/2

Both the numerator and denominator have no common divisor other than 1.

Also, both the numerator and denominator is positive

1/2 cannot be simplified further

Therefore, 1/2 is in standard form

Considering 1/-3

Both the numerator and denominator have no common divisor other than 1.

Also, the denominator is negative

Therefore, 1/-3 is not in standard form.

✦ Try This: Which of the following rational numbers is in standard form? (a) 10/20, (b) 8/4, (c) 1/-2, (d) 1/3

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9

NCERT Exemplar Class 7 Maths Chapter 8 Sample Problem 2

Which of the following rational numbers is in standard form? (a) 20/30, (b) 10/4, (c) 1/2, (d) 1/-3

Summary:

Out of the given rational numbers, 1/2 is in standard form

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