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.
    If PQ and PR are tangents to the circle with centre O and radius 4 cm such that \(\angle QPR = 90^\circ\), then the length OP is

      • 4 cm
      • \(4\sqrt{2}\) cm
      • 8 cm
      • \(2\sqrt{2}\) cm

    • 2.
      The value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is

        • 2
        • \(-6\)
        • \(-2\)
        • 6

      • 3.
        In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is

          • $6$
          • $4$
          • $\pm 4$
          • $3$

        • 4.
          For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

            • \(0\)
            • \(\frac{80}{81}\)
            • \(1\)
            • \(\frac{82}{80}\)

          • 5.
            It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

              • \(\frac{\text{Perimeter of } \triangle ABC}{\text{Perimeter of } \triangle EDF} = \frac{AB}{ED}\)
              • \(\frac{AB}{ED} = \frac{AC}{EF}\)
              • \(\angle A = \angle D, \angle C = \angle F\)
              • \(\frac{AB + BC}{AC} = \frac{ED + DF}{EF}\)

            • 6.
              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

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

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