#### Chapters

Chapter 2: Rational Numbers

Chapter 3: Fractions (Including Problems)

Chapter 4: Decimal Fractions (Decimals)

Chapter 5: Exponents (Including Laws of Exponents)

Chapter 6: Ratio and Proportion (Including Sharing in a Ratio)

Chapter 7: Unitary Method (Including Time and Work)

Chapter 8: Percent and Percentage

Chapter 9: Profit, Loss and Discount

Chapter 10: Simple Interest

Chapter 11: Fundamental Concepts (Including Fundamental Operations)

Chapter 12: Simple Linear Equations (Including Word Problems)

Chapter 13: Set Concepts (Some Simple Divisions by Vedic Method)

Chapter 14: Lines and Angles (Including Construction of angles)

Chapter 15: Triangles

Chapter 16: Pythagoras Theorem

Chapter 17: Symmetry (Including Reflection and Rotation)

Chapter 18: Recognition of Solids (Representing 3-D in 2-D)

Chapter 19: Congruency: Congruent Triangles

Chapter 20: Mensuration

Chapter 21: Data Handling

Chapter 22: Probability

## Chapter 2: Rational Numbers

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 2 Rational Numbers Exercise 2 (A)

Write down a rational number whose numerator is the largest number of two digits and denominator is the smallest number of four digits.

Write the numerator of the following rational numbers: `(- 125)/127`

Write the numerator of the following rational numbers: `37/(-137)`

Write the numerator of the following rational numbers: `(- 85)/93`

Write the numerator of the following rational numbers: 2

Write the numerator of the following rational numbers: 0

Write the denominator of the following rational numbers: `7/-15`

Write the denominator of the following rational numbers: `(-18)/29`

Write the denominator of the following rational numbers: `(-3)/4`

Write the denominator of the following rational numbers: -7

Write the denominator of the following rational numbers: 0

Write down a rational number numerator (-5) x (-4) and denominator (28 – 27) x (8 – 5).

`(-15)/1` in integer form is ______

`23/(-1)` in integer form is ______

If 18 = `18/"a"` then a = _____

If - 57 = `57/"a"` then a = _____

Separate positive and negative rational numbers from the following :

`(-3)/5 , 3/-5 , (-3)/(-5), 3/5 , 0 , (-13)/-3 , 15/-8 , (- 15)/8`

Find three rational numbers equivalent to `3/5`

Find three rational numbers equivalent to `4/-7`

Find three rational numbers equivalent to `-5/9`

Find three rational numbers equivalent to `8/-15`

Which of the following are not rational numbers: -3

Which of the following are not rational numbers: 0

Which of the following are not rational numbers: `0/4`

Which of the following are not rational numbers: `8/0`

Which of the following are not rational numbers: `0/0`

Express the following integer as a rational number with denominator 7- 5

Express the following integer as a rational number with denominator 7: - 8

Express the following integer as a rational number with denominator 7: 0

Express the following integer as a rational number with denominator 7: -16

Express the following integer as a rational number with denominator 7: 7

Express `3/5` as a rational number with denominator: 20

Express `3/5` as a rational number with denominator: - 20

Express `3/5` as a rational number with denominator: 45

Express `3/5` as a rational number with denominator: 25

Express `3/5` as a rational number with denominator: - 35

Express `4/7` as a rational number with numerator: 12

Express `4/7` as a rational number with numerator: -12

Express `4/7` as a rational number with numerator: -16

Express `4/7` as a rational number with numerator: -20

Express `4/7` as a rational number with numerator: 20

Find x, such that: `(-2)/3=6/"x"`

Find x, such that: `7/-4 = "x"/8`

Find x, such that: `3/7 = "x"/-35`

Find x, such that: `(- 48)/"x" = 6`

Find x, such that: `36/"x" = 3`

Find x, such that: `(-27)/"x" = 9`

Express the following rational number to the lowest term: `12/15`

Express the following rational numbers to the lowest terms: `(-120)/144`

Express the following rational numbers to the lowest terms: `(-48)/-72`

Express the following rational numbers to the lowest terms: `14/-56`

Express the following rational number in the standard form. `(-7)/-8`

Express the following rational number in the standard form. `5/-12`

Express the following rational number in the standard form. `(-7)/-20`

Express the following rational number in the standard form. `4/-9`

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 2 Rational Numbers Exercise 2 (B)

Mark the following pairs of rational numbers on the separate number lines: `3/4` and `- 1/4`

Mark the following pairs of rational numbers on the separate number lines: `2/5` and `(- 3)/5`

Mark the following pairs of rational numbers on the separate number lines: `5/6` and `(- 2)/3`

Mark the following pairs of rational numbers on the separate number lines: `2/5 "and" - 4/5`

Mark the following pairs of rational numbers on the separate number lines: `1/4 "and" - 5/4`

Compare: `3/5` and `5/7`

Compare: `(-7)/2` and `5/2`

Compare: `- 3 "and" 2 3/4 or 11/4`

Compare: `-1 1/2 and 0 or -3/2 and 0`

Compare: `0 and 3/4`

Compare: 3 and -1

Compare: `(-1)/4` and 0

Compare: `1/4` and 0

Compare: `(- 3)/8 and 2/5`

Compare: `(-5)/8 and 7/-12`

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

Compare: `(-7)/8 and 5/-6`

Compare: `2/7 and (-3)/-8`

Compare: `(-5)/8 and 7/-12`

**Arrange the given rational numbers in ascending order:**

`7/10 , (-11)/-30 "and" 5/-15`

**Arrange the given rational numbers in ascending order:**

`4/-9, (-5)/12 "and" 2/-3 `

**Arrange the given rational numbers in descending order:**

`5/8, 13/-16 "and" (-7)/12`

**Arrange the given rational numbers in descending order:**

`3/-10, (-13)/30 "and" 8/-20`

**Fill in the blank**:

`5/8` and `3/10` are on the ________ side of zero.

**Fill in the blank**:

`(-5)/8` and `3/10` are on the ________ side of zero

**Fill in the blank**:

`-5/8` and `-3/10` are on the ________ side of zero.

**Fill in the blank**:

`5/8` and `-3/10` are on the ________ side of zero.

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 2 Rational Numbers Exercise 2 (C)

Add: `7/5 "and" 2/5`

Add: `(-4)/9 "and" 2/9`

Add: `5/-12 "and" 1/12`

Add: `4/-15 "and" (-7)/-15`

Add: `(-7)/25 "and" 9/-25`

Add: `(-7)/26 "and" 7/-26`

Add: `(-2)/5 "and" 3/7`

Add: `(- 5)/6 "and" 4/9`

Add: `-3 "and" 2/3 `

Add: `(-5)/9 "and" 7/18`

Add: `(-7)/24 "and" (-5)/48`

Add: `1/-18 "and" 5/-27`

Add: `(-9)/25 "and" 1/-75`

Add: `13/-16 "and" (- 11)/24`

Add: `(-9)/(-16) "and" (-11)/8`

Evaluate: `(-2)/5 + 3/5 + (-1)/5`

Evaluate: `(-8)/9 + 4/9 + (-2)/9`

Evaluate: `5/-24 + (- 1)/8 + 3/16`

Evaluate: `(- 7)/6 + 4/-15 + (-4)/-30`

Evaluate: `-2 + 2/5 + (-2)/15`

Evaluate: `(-11)/12 + 5/16 + (-3)/8`

Evaluate: `- 11/18 + (-3)/9 + 2/-3`

Evaluate: `(- 9)/4 + 13/3 + 25/6`

Evaluate: `- 5 + 5/-8 + (-5)/(-12)`

Evaluate: `- 2/3 + 5/2 + 2`

Evaluate: `5 + (-3)/4 + (-5)/8`

Subtract : `2/9 "from" 5/9`

Subtract : `(-6)/11 "from" (-3)/(-11)`

Subtract : `(-2)/15 "from" (-8)/(15)`

Subtract: `11/18 "from" (-5)/18`

Subtract: `(-4)/11 "from" -2`

Subtract: `- 3/10 "from" 1/5`

Subtract: `(- 6)/25 "from" (-8)/5`

Subtract: `(- 7)/4 "from" -2`

Subtract: `(- 16)/21 "from" 1`

Subtract: `(- 8)/15 "from" 0`

Subtract: `0 "from" (-3)/8`

Subtract: `-2 "from" (-3)/10`

Subtract: `5/8 "from" (-5)/16`

Subtract: `4 "from" -3/13`

The sum of two rational numbers is `11/24`. If one of them is `3/8`, fine the other.

The sum of two rational numbers is `(-7)/11`. If one of them is `13/24`, fine the other.

The sum of two rational numbers is -4. If one of them is `(-13)/12`, fine the other.

What should be added to `- 3/6` to get `- 11/24`?

What should be added to `(-3)/5` to get 2?

What should be subtracted from `(-4)/5` to get 1?

The sum of two numbers is `- 6/5`. If one of them is -2, find the other.

What should be added to `(-7)/12` to get `3/8`?

What should be subtracted from `5/9` to get `9/5`?

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 2 Rational Numbers Exercise 2 (D)

Evaluate: `5/4 xx 3/7`

Evaluate: `2/3 xx -6/7`

Evaluate: `((-12)/5) xx (10/-3)`

Evaluate: `(-45)/39 xx (-13)/15`

Evaluate: `3 1/8 xx (-2 2/5)`

Evaluate: `2 14/25 xx ((-5)/16)`

Evaluate: `((-8)/9) xx ((-3)/16)`

Evaluate: `(5/-27) xx ((-9)/20)`

Multiply: `3/25 "and" 4/5`

Multiply: `1 1/8 "and" 10 2/3`

Multiply: `6 2/3 "and" (-3)/8`

Multiply: `(-13)/15 "and" (-25)/26`

Multiply: `1 1/6 "and" 18`

Multiply: `2 1/14 "and" -7`

Multiply: `5 1/8 "and" -16`

Multiply: ` 35 "and" (-18)/25`

Multiply: `6 2/3 "and" -3/8`

Multiply: `3 3/5 "and" -10`

Multiply: `27/28 "and" -14`

Multiply: `- 24 "and" 5/16`

Evaluate: `(-6 xx 5/18) - (- 4 2/9)`

Evaluate: `(7/8 xx 8/7) + ((-5)/9) xx (6/-25)`

Evaluate: `(11/-9 xx 21/44) + ((-5)/9) xx (63/-100)`

Evaluate: `((-5)/9 xx 6/-25) + (24/21 xx 7/8)`

Evaluate: `((- 35)/39 xx (- 13)/7) - (7/90 xx (- 18)/14)`

Evaluate: `((-4)/5 xx 3/2) + (9/-5 xx 10/3) - ((-3)/2 xx (-1)/4)`

Find the cost of `3 1/2` m cloth, if one metre cloth costs ₹325 `1/2`.

A bus is moving with a speed of 65 `1/2` km per hour. How much distance will it cover in 1 `1/3` hours.

Divide: `15/28 "by" 3/4`

Divide: `(-20)/9 "by" (-5)/9`

Divide: `16/-5 "by" (-8)/7`

Divide: `-7 "by" (- 14)/5`

Divide: `-14 "by" 7/-2`

Divide: `(- 22)/9 "by" 11/18`

Divide: `35 "by" (- 7)/9`

Divide: `21/44 "by" - 11/9`

Evaluate: `3 5/12 + 1 2/3`

Evaluate: `3 5/12 - 1 2/3`

Evaluate: `(3 5/12 + 1 2/3) div (3 5/12 - 1 2/3)`

The product of two numbers is 14. If one of the numbers is `(-8)/7`, find the other.

The cost of 11 pens is ₹ 3 `2/3`. Find the cost of one pen.

If 6 identical articles can be bought for ₹ 2 `6/17`. Find the cost of each article.

By what number should `(-3)/8` be multiplied so that the product is `(-9)/16`?

By what number should `(-5)/7` be divided so -15 that the result is `(-15)/28`?

Evaluate : `(32/15 + 8/5) div (32/15 - 8/5)`

Seven equal pieces are made out of a rope 5 of 21 `5/7` m. Find the length of each piece.

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 2 Rational Numbers Exercise 2 (E)

Evaluate: `(-2)/3 + 3/4`

Evaluate: `7/-27 + 11/18`

Evaluate: `(- 3)/8+ (-5)/12`

Evaluate: `9/-16 + (-5/-12)`

Evaluate: `(-5)/9 + (-7)/12 + 11/18`

Evaluate: `7/-26 + 16/39`

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

Evaluate: `- 5/7 - (- 3/8)`

Evaluate: `7/26 + 2 + (-11)/13`

Evaluate: `-1 + 2/-3 + 5/6`

The sum of two rational numbers is `(-3)/8`. If one of them is `3/16` find the other,

The sum of two rational numbers is -5. If one of them is `(-52)/25`, find the other.

What rational number should be added to `- 3/16` to get `11/24`

What rational number should be added to `(- 3)/5` to get 2?

What rational number should be subtracted from `- 5/12` to get `5/24`.

What rational number should be subtracted from `5/8` to get `8/5`.

Evaluate: `(7/8 xx 24/21) + ((-5)/9 xx 6/-25)`

Evaluate: `(8/15 xx (-25)/16) + ((-18)/35 xx 5/6)`

Evaluate: `(18/33 xx (-22)/27) + ((13)/25 xx (-75)/26)`

Evaluate: `((-13)/7 xx (- 35)/39) - ((-7)/45 xx (9)/14)`

The product of two rational numbers is 24. If one of them is `- 36/11`, find the other.

By what rational number should we multiply `20/-9`, so that the product may be `(-5)/9`?

## Chapter 2: Rational Numbers

## Selina solutions for Concise Mathematics Class 7 ICSE chapter 2 - Rational Numbers

Selina solutions for Concise Mathematics Class 7 ICSE chapter 2 (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 CISCE Concise Mathematics Class 7 ICSE solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Concise Mathematics Class 7 ICSE chapter 2 Rational Numbers are Word Problems on Rational Numbers (All Operations), Decimal Representation of Rational Numbers, Concept for Problem Solving Using Operations on Rational Numbers, Concept of Rational Numbers, Concept of Decimal Numbers.

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