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.

    There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.


      • 2.
        Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).


          • 3.
            Solve the following pair of linear equations by graphical method : \(2x + y = 9\) and \(x - 2y = 2\).


              • 4.
                Using prime factorisation, find the HCF of 144, 180 and 192.


                  • 5.
                    Three coins are tossed together. The probability that at least one head comes up is

                      • \(\dfrac{3}{8}\)
                      • \(\dfrac{7}{8}\)
                      • \(\dfrac{1}{8}\)
                      • \(\dfrac{3}{4}\)

                    • 6.
                      The sum of a number and its reciprocal is \(\frac{13}{6}\). Find the number.

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