## Amartya Academy

(A digital solutions of Education)

## Class 7 (Mathematics)

(NCERT Textbook : Mathematics)

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## NCERT Solutions

# Ch_9 Rational Numbers

###### Chapter Solutions

__Question 1.__ List five rational numbers between:

(i) -1 and 0

(ii) -2 and -1

(iii)Â âˆ’45Â andÂ âˆ’23

(iv)Â 12Â andÂ 23

__Solution:__

(i) -1 and 0

Converting each of rational numbers as a denominator 5 + 1 = 6, we have

Hence, the required five rational numbers between -1 and 0 areÂ âˆ’56,âˆ’23,âˆ’12,âˆ’13Â andÂ âˆ’16

(ii) -2 and -1

Converting each of rational numbers as a denominator 5 + 1 = 6, we have

(iii)Â âˆ’45Â andÂ âˆ’23

Converting each of the rational numbers as a denominator 5 Ã— 3 = 15, we have

Since there is only one integer i.e. -11 between -12 and -10, we have to find equivalent rational numbers.

(iv)Â 12Â andÂ 23

Converting each of the rational numbers in their equivalent rational numbers,

we have

Â

Question 2. Write four more rational numbers in each of the following patterns:

Solution:

Question 3. Give four rational numbers equivalent to:

Solution:

Question 4. Draw a number line and represent the following rational numbers on it:

Solution:

Question 5.The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.

Solution:

Rational numbers represented by P, Q, R and S.73,83,âˆ’43Â andÂ âˆ’53Â respectlvely.

Question 6. Which of the following pairs represent the same rational number?

Solution:

Question 7. Rewrite the following rational numbers in the simplest form:

Solution:

Question 8. Fill in the boxes with the correct symbol out of >, < and =.

Solution:

Question 9. Which is greater in each of the following:

Solution:

Question 10. Write the following rational numbers in ascending order:

Solution:

## Exercise 9.2

Â