NCERT Solutions for Class 7 Mathematics Chapter 9: Rational Numbers

Collegedunia Team logo

Collegedunia Team

Content Curator

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.

Read More:

Class 7 Maths Study Guides:

CBSE X Related Questions

  • 1.
    Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.


      • 2.
        The first term of an AP is $p$ and the common difference is $q$, then its 10th term is :

          • $q - 9p$
          • $p - 9q$
          • $p + 9q$
          • $2p + 9q$

        • 3.
          If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is

            • 3
            • –3
            • –4
            • \(\pm 3\)

          • 4.
            If the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then

              • \( \frac{a_1}{a_2} \neq \frac{b_1}{b_2} \)
              • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)
              • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2} \)
              • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)

            • 5.
              If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).


                • 6.
                  The HCF of 960 and 432 is :

                    • 48
                    • 54
                    • 72
                    • 36

                  Comments


                  No Comments To Show