In the standard form of a rational number, the denominator is always a
(a) 0
(b) negative integer
(c) positive integer
(d) 1

Solution:

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 definition,

p is the numerator

q is the denominator

q is not equal to zero

Therefore, the denominator is always a positive integer.

✦ Try This: The standard form of 60/72

We have to find the standard form of 60/72

60 = 2 × 2 × 3 × 5

72 = 2 × 2 × 2 × 3 × 3

HCF of 60 and 72 = 2 × 2 × 3 = 12

Now, 60/12 = 5

72/12 = 6

Therefore, the standard form of 60/72 = 5/6 

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

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NCERT Exemplar Class 7 Maths Chapter 8 Problem 10

In the standard form of a rational number, the denominator is always a (a) 0, (b) negative integer, (c) positive integer, (d) 1

Summary:

In the standard form of a rational number, the denominator is always a positive integer

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☛ Related Questions:

• To reduce a rational number to its standard form, we divide its numerator and denominator by their ( . . . .
• Which is greater number in the following: (a) -1/2, (b) 0, (c) 1/2, (d) -2
• -3/8 is a ______ rational number