Rational number 3/40 is equal to:
A rational number is any number that can be expressed as the fraction p/q, where p and q are integers, and q ≠ 0. Rational numbers include integers, terminating decimals, and repeating decimals. Examples: 1/2, -3, 0.75, 5. They can be positive, negative, or zero.
The NCERT solutions for Class 9 Maths, Chapter 1 (Number System) include MCQ-based questions, exercise questions, and short-answer questions to help students understand rational, irrational, real numbers, and their properties. These solutions follow the CBSE syllabus, providing clear explanations and step-by-step answers for better understanding and exam preparation.
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We are given the rational number: 3/40
We need to convert it into decimal form and determine the correct answer from the given options.
Step 1: Convert the Fraction to Decimal
To convert 3/40 into a decimal, we divide 3 by 40: 3 ÷ 40
Performing the division:
3.000 (Adding decimal point and zeros to divide properly)
40 goes into 30 0 times. (So, we consider 300)
40 goes into 300 7 times (since 40 × 7 = 280)Remainder: 300 – 280 = 20
Bring down a 0 (making it 200)
40 goes into 200 5 times (since 40 × 5 = 200)Remainder: 0 (Division is complete)
Thus, 3/40 = 0.075
Step 2: Compare with Given Options
The given options are:
(a) 0.75
(b) 0.12
(c) 0.012
(d) 0.075
Since we found that 3/40 = 0.075, the correct answer is: (d) 0.075
This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.
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