NCERT Solutions for Class 7 Mathematics Chapter 9: Rational Numbers

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NCERT Solutions for Class 7 Mathematics Chapter 9 Rational Numbers are provided in this article. A rational number is a number that can be expressed as a ratio of p/q, where p and q are integers, and q does not equal to zero. The numerator and the denominator of a rational number will be integers. Some of the important topics in Rational Numbers chapter include:

  1. Rationalize the Denominator
  2. Number Systems
  3. Operations on Rational Numbers
  4. Relation Between HCF and LCM
  5. Decimal Expansion of Rational Numbers
  6. Irrational Numbers

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 9 pdf


NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers is given below.


Class 7 Maths Chapter 9 Rational Numbers – Important Topics

Rational Number: A rational number is a number which is represented as a ratio of two numbers in the form p/q where 'q' is not equal to zero and both 'p' and 'q' are integers.

  • Number 8 can be written as fraction 8/1, it will be a rational number.
  • 3/4 can be written as a fraction since it is a rational number.
  • We can write the decimal 1.5 as the ratio of 3/2. Therefore, it is also a rational number
  • O.333...can be written as 1/3. So it is a rational number
  • Recurring decimals like 0.262626..., all finite decimals andl integers are also rational numbers.

Example: If A had 5/8 litres of milk and gave 3/5 literes of milk to B. How much is left with A?

Ans. A gave 3/5 litres of milk from 5/8 litres.

Thus,

5/8 – 3/5

= (25 – 24) / 40

= 1/40 litres of milk is left with A.


NCERT Solutions for Class 7 Maths Chapter 9 Exercises

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers Exercises are given below.

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Class 7 Maths Study Guides:

CBSE X Related Questions

  • 1.
    The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.


      • 2.
        Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

          • \(2\pi r^3\)
          • \(3\pi r^3\)
          • \(5\pi r^3\)
          • \(4\pi r^3\)

        • 3.
          Arc \(PQ\) subtends an angle \(\theta\) at the centre of the circle with radius \(6.3 \text{ cm}\). If \(\text{Arc } PQ = 11 \text{ cm}\), then the value of \(\theta\) is

            • \(10^{\circ}\)
            • \(60^{\circ}\)
            • \(45^{\circ}\)
            • \(100^{\circ}\)

          • 4.
            For any natural number n, \( 5^n \) ends with the digit :

              • 0
              • 5
              • 3
              • 2

            • 5.
              The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

                • 0
                • 1
                • 3
                • 2

              • 6.
                Assertion (A) : If probability of happening of an event is \(0.2p\), \(p>0\), then \(p\) can't be more than 5.
                Reason (R) : \(P(\bar{E}) = 1 - P(E)\) for an event \(E\).

                  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
                  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
                  • Assertion (A) is true, but Reason (R) is false.
                  • Assertion (A) is false, but Reason (R) is true.

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