A rational number is defined as a number that can be expressed in the form p/q , where p and q are integers and
(a) q = 0
(b) q = 1
(c) q ≠ 1
(d) q ≠ 0
Solution:
Given, A rational number is defined as a number that can be expressed in the form p/q , where p and q are integers
We have to find the condition that satisfies the definition.
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.
Therefore, the condition that satisfies the definition is q ≠ 0
✦ Try This: Write the rational number in the standard form : 16/24
Given, the rational number is 16/24
We have to write the rational number in standard form
We know that, to reduce the rational number to its standard form, we divide its numerator and denominator by their HCF
16 = 2 × 2 × 2 × 2
24 = 2 × 2 × 2 × 3
HCF of 16 and 24 = 2 × 2 × 2 = 8
Now, 16/8 = 2
24/8 = 3
Therefore, the standard form of 16/24 is 2/3
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Problem 1
A rational number is defined as a number that can be expressed in the form p/q , where p and q are integers and (a) q = 0, (b) q = 1, (c) q ≠ 1, (d) q ≠ 0
Summary:
A rational number is defined as a number that can be expressed in the form p/q , where p and q are integers and q ≠ 0
☛ Related Questions:
- Which of the following rational numbers is positive? (a) -8/7, (b) 19/-13, (c) -3/-4, (d) -21/13
- Which of the following rational numbers is negative? (a) -(-3 /7), (b) -5/-8, (c) 9/8, (d) 3/-7
- In the standard form of a rational number, the common factor of numerator and denominator is always: . . . .
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