#### Chapters

Chapter 2: Fractions and Decimals

Chapter 3: Data Handling

Chapter 4: Simple Equations

Chapter 5: Lines and Angles

Chapter 6: The Triangle and its Properties

Chapter 7: Congruence of Triangles

Chapter 8: Comparing Quantities

Chapter 9: Rational Numbers

Chapter 10: Practical Geometry

Chapter 11: Perimeter and Area

Chapter 12: Algebraic Expressions

Chapter 13: Exponents and Powers

Chapter 14: Symmetry

Chapter 15: Visualising Solid Shapes

#### NCERT Mathematics Class 7

## Chapter 9: Rational Numbers

#### Chapter 9: Rational Numbers Exercise 9.10 solutions [Pages 182 - 184]

List five rational numbers between − 1 and 0

List five rational numbers between − 2 and − 1

−2 and −1

List five rational numbers between `(-4)/5 and (-2)/3`

List five rational numbers between `1/2 and 2/3`

Write four more rational numbers in the following patterns:

`(-3)/5, (-6)/10,(-9)/15, (-12)/20, ...`

Write four more rational numbers in the following patterns:

`(-1)/4, (-2)/8,(-3)/12 ....`

Write four more rational numbers in the following patterns:

`(-1)/6, 2/(-12), 3/(-18), 4/(-24)`

Write four more rational numbers in the following patterns:

`(-2)/3, 2/(-3),4/(-6), 6/(-9)...`

Give four rational numbers equivalent to `(-2)/7`

Give four rational numbers equivalent to `5/(-3)`

Give four rational numbers equivalent to: `4/9`

Draw the number line and represent the following rational numbers on it:

`3/4`

Draw the number line and represent the following rational numbers on it:

`(-5)/8`

Draw the number line and represent the following rational numbers on it]

`(-7)/4`

Draw the number line and represent the following rational numbers on it:

`7/8`

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.

Which of the following pairs represent the same rational number?

`(-7)/21 and 3/9`

Which of the following pairs represent the same rational number?

`(-16)/20 and 20/(-25)`

Which of the following pairs represent the same rational number?

`(-2)/(-3) and 2/3`

Which of the following pairs represent the same rational number?

`(-3)/5 and (-12)/20`

Which of the following pairs represent the same rational number?

`8/(-5) and (-24)/15`

Which of the following pairs represent the same rational number?

`1/3 and (-1)/9`

Which of the following pairs represent the same rational number?

`(-5)/(-9) and 5/(-9)`

Rewrite the given rational numbers in the simplest form:

`(-8)/6`

Rewrite the following rational numbers in the simplest form:

`25/45`

Rewrite the following rational numbers in the simplest form:

`(-44)/72`

Rewrite the following rational numbers in the simplest form:

`(-8)/10`

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

`(-5)/7` `2/3`

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

`(-4)/5` `(-5)/7`

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

`(-7)/8` `14/(-16)`

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

`(-8)/5` `(-7)/4`

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

`1/(-3)` `(-1)/4`

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

`5/(-11)` `(-5)/11`

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

0 `(-7)/6`

Which is greater in the following?

`2/3,5/2`

Which is greater in the following?

`(-5)/6, (-4)/3`

Which is greater in the following?

`(-3)/4,2/(-3)`

Which is greater in the following?

`(-1)/4, 1/4`

Which is greater in the following?

`-3 2/7, -3 4/5`

Write the given rational numbers in ascending order:

`(-3)/5, (-2)/5, (-1)/5`

Write the given rational numbers in ascending order:

`(-1)/3,(-2)/9,(-4)/3`

Write the given rational numbers in ascending order:

`(-3)/7, (-3)/2, (-3)/4`

#### Chapter 9: Rational Numbers Exercise 9.20 solutions [Page 190]

Find the sum `4/5 + ((-11)/4)`

Find the sum `5/3 + 3/5`

Find the sum `(-9)/10 + 22/15`

Find the sum: `(-3)/(-11) + 5/9`

Find the sum: `(-8)/19 + (-2)/57`

Find the sum: `(-2)/3 + 0`

Find the sum: `-2 1/3 + 4 3/5`

Find `7/24 - 17/36`

Find `5/63 - ((-6)/21)`

Find `(-6)/13 - ((-17)/15)`

Find `(-3)/8 - 7/11`

Find `-2 1/9 - 6`

Find the product: `9/2 xx ((-7)/4)`

Find the product: `3/10 xx (-9)`

Find the product: `(-6)/9 xx 9/11`

Find the product: `3/7 xx ((-2)/5)`

Find the product: `3/11 xx 2/5`

Find the product: `3/(-5) xx (-5)/3`

Find the value of `(-4) ÷ 2/3`

Find the value of: `(-3)/5 ÷ 2`

Find the value of: `(-4)/5 ÷ (-3)`

Find the value of: `(-1)/8 ÷ 3/4`

Find the value of: `(-2)/13 ÷ 1/7`

Find the value of: `(-7)/12 ÷ ((-2)/13)`

Find the value of: `3/13 ÷ ((-4)/65)`

## Chapter 9: Rational Numbers

#### NCERT Mathematics Class 7

#### Textbook solutions for Class 7

## NCERT solutions for Class 7 Mathematics chapter 9 - Rational Numbers

NCERT solutions for Class 7 Maths chapter 9 (Rational Numbers) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics for Class 7 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com are providing such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 7 Mathematics chapter 9 Rational Numbers are Operations on Rational Numbers - Division, Operations on Rational Numbers - Multiplication, Operations on Rational Numbers - Subtraction, Operations on Rational Numbers - Addition, Rational Numbers Between Two Rational Numbers, Comparison of Rational Numbers, Rational Numbers in Standard Form, Rational Numbers on a Number Line, Positive and Negative Rational Numbers, Concept of Rational Numbers, Need for Rational Numbers.

Using NCERT Class 7 solutions Rational Numbers exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 7 prefer NCERT Textbook Solutions to score more in exam.

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