# Selina solutions for Concise Mathematics Class 7 ICSE chapter 2 - Rational Numbers [Latest edition]

## Chapter 2: Rational Numbers

Exercise 2 (A)Exercise 2 (B)Exercise 2 (C)Exercise 2 (D)Exercise 2 (E)
Exercise 2 (A)

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

Exercise 2 (A) | Q 1

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

Exercise 2 (A) | Q 2.1

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

Exercise 2 (A) | Q 2.2

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

Exercise 2 (A) | Q 2.3

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

Exercise 2 (A) | Q 2.4

Write the numerator of the following rational numbers: 2

Exercise 2 (A) | Q 2.5

Write the numerator of the following rational numbers: 0

Exercise 2 (A) | Q 3.1

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

Exercise 2 (A) | Q 3.2

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

Exercise 2 (A) | Q 3.3

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

Exercise 2 (A) | Q 3.4

Write the denominator of the following rational numbers: -7

Exercise 2 (A) | Q 3.5

Write the denominator of the following rational numbers: 0

Exercise 2 (A) | Q 4

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

Exercise 2 (A) | Q 5.1

(-15)/1 in integer form is ______

Exercise 2 (A) | Q 5.2

23/(-1) in integer form is ______

Exercise 2 (A) | Q 5.3

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

Exercise 2 (A) | Q 5.4

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

Exercise 2 (A) | Q 6

Separate positive and negative rational numbers from the following :

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

Exercise 2 (A) | Q 7.1

Find three rational numbers equivalent to 3/5

Exercise 2 (A) | Q 7.2

Find three rational numbers equivalent to 4/-7

Exercise 2 (A) | Q 7.3

Find three rational numbers equivalent to -5/9

Exercise 2 (A) | Q 7.4

Find three rational numbers equivalent to 8/-15

Exercise 2 (A) | Q 8.1

Which of the following are not rational numbers: -3

Exercise 2 (A) | Q 8.2

Which of the following are not rational numbers: 0

Exercise 2 (A) | Q 8.3

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

Exercise 2 (A) | Q 8.4

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

Exercise 2 (A) | Q 8.5

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

Exercise 2 (A) | Q 9.1

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

Exercise 2 (A) | Q 9.2

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

Exercise 2 (A) | Q 9.3

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

Exercise 2 (A) | Q 9.4

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

Exercise 2 (A) | Q 9.5

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

Exercise 2 (A) | Q 10.1

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

Exercise 2 (A) | Q 10.2

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

Exercise 2 (A) | Q 10.3

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

Exercise 2 (A) | Q 10.4

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

Exercise 2 (A) | Q 10.5

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

Exercise 2 (A) | Q 11.1

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

Exercise 2 (A) | Q 11.2

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

Exercise 2 (A) | Q 11.3

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

Exercise 2 (A) | Q 11.4

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

Exercise 2 (A) | Q 11.5

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

Exercise 2 (A) | Q 12.1

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

Exercise 2 (A) | Q 12.2

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

Exercise 2 (A) | Q 12.3

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

Exercise 2 (A) | Q 12.4

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

Exercise 2 (A) | Q 12.5

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

Exercise 2 (A) | Q 12.6

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

Exercise 2 (A) | Q 13.1

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

Exercise 2 (A) | Q 13.2

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

Exercise 2 (A) | Q 13.3

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

Exercise 2 (A) | Q 13.4

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

Exercise 2 (A) | Q 14.1

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

Exercise 2 (A) | Q 14.2

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

Exercise 2 (A) | Q 14.3

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

Exercise 2 (A) | Q 14.4

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

Exercise 2 (B)

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

Exercise 2 (B) | Q 1.1

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

Exercise 2 (B) | Q 1.2

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

Exercise 2 (B) | Q 1.3

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

Exercise 2 (B) | Q 1.4

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

Exercise 2 (B) | Q 1.5

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

Exercise 2 (B) | Q 2.1

Compare: 3/5 and 5/7

Exercise 2 (B) | Q 2.2

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

Exercise 2 (B) | Q 2.3

Compare: - 3  "and"  2 3/4 or 11/4

Exercise 2 (B) | Q 2.4

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

Exercise 2 (B) | Q 2.5

Compare: 0 and 3/4

Exercise 2 (B) | Q 2.6

Compare: 3 and -1

Exercise 2 (B) | Q 3.1

Compare:  (-1)/4 and 0

Exercise 2 (B) | Q 3.2

Compare:  1/4 and 0

Exercise 2 (B) | Q 3.3

Compare:  (- 3)/8 and 2/5

Exercise 2 (B) | Q 3.4

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

Exercise 2 (B) | Q 3.5

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

Exercise 2 (B) | Q 3.6

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

Exercise 2 (B) | Q 3.7

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

Exercise 2 (B) | Q 3.8

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

Exercise 2 (B) | Q 4.1

Arrange the given rational numbers in ascending order:

7/10 , (-11)/-30  "and"  5/-15

Exercise 2 (B) | Q 4.2

Arrange the given rational numbers in ascending order:

4/-9, (-5)/12  "and" 2/-3

Exercise 2 (B) | Q 5.1

Arrange the given rational numbers in descending order:

5/8, 13/-16  "and" (-7)/12

Exercise 2 (B) | Q 5.2

Arrange the given rational numbers in descending order:

3/-10, (-13)/30  "and"  8/-20

Exercise 2 (B) | Q 6.1

Fill in the blank:

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

Exercise 2 (B) | Q 6.2

Fill in the blank:

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

Exercise 2 (B) | Q 6.3

Fill in the blank:

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

Exercise 2 (B) | Q 6.4

Fill in the blank:

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

Exercise 2 (C)

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

Exercise 2 (C) | Q 1.1

Add: 7/5  "and"  2/5

Exercise 2 (C) | Q 1.2

Add: (-4)/9  "and"  2/9

Exercise 2 (C) | Q 1.3

Add: 5/-12  "and"  1/12

Exercise 2 (C) | Q 1.4

Add: 4/-15  "and"  (-7)/-15

Exercise 2 (C) | Q 1.5

Add: (-7)/25  "and"  9/-25

Exercise 2 (C) | Q 1.6

Add: (-7)/26  "and"  7/-26

Exercise 2 (C) | Q 2.1

Add: (-2)/5  "and"  3/7

Exercise 2 (C) | Q 2.2

Add: (- 5)/6  "and"  4/9

Exercise 2 (C) | Q 2.3

Add: -3  "and"  2/3

Exercise 2 (C) | Q 2.4

Add: (-5)/9  "and"  7/18

Exercise 2 (C) | Q 2.5

Add: (-7)/24  "and"  (-5)/48

Exercise 2 (C) | Q 2.6

Add: 1/-18  "and"  5/-27

Exercise 2 (C) | Q 2.7

Add: (-9)/25  "and"  1/-75

Exercise 2 (C) | Q 2.8

Add: 13/-16  "and"  (- 11)/24

Exercise 2 (C) | Q 2.9

Add: (-9)/(-16)  "and"  (-11)/8

Exercise 2 (C) | Q 3.1

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

Exercise 2 (C) | Q 3.2

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

Exercise 2 (C) | Q 3.3

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

Exercise 2 (C) | Q 3.4

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

Exercise 2 (C) | Q 3.5

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

Exercise 2 (C) | Q 3.6

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

Exercise 2 (C) | Q 4.1

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

Exercise 2 (C) | Q 4.2

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

Exercise 2 (C) | Q 4.3

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

Exercise 2 (C) | Q 4.4

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

Exercise 2 (C) | Q 4.5

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

Exercise 2 (C) | Q 5.1

Subtract : 2/9  "from"  5/9

Exercise 2 (C) | Q 5.2

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

Exercise 2 (C) | Q 5.3

Subtract : (-2)/15  "from"  (-8)/(15)

Exercise 2 (C) | Q 5.4

Subtract: 11/18  "from"  (-5)/18

Exercise 2 (C) | Q 5.5

Subtract: (-4)/11  "from" -2

Exercise 2 (C) | Q 6.1

Subtract: - 3/10  "from"  1/5

Exercise 2 (C) | Q 6.2

Subtract: (- 6)/25  "from"  (-8)/5

Exercise 2 (C) | Q 6.3

Subtract: (- 7)/4  "from" -2

Exercise 2 (C) | Q 6.4

Subtract: (- 16)/21  "from"  1

Exercise 2 (C) | Q 6.5

Subtract: (- 8)/15  "from"  0

Exercise 2 (C) | Q 6.6

Subtract: 0  "from"  (-3)/8

Exercise 2 (C) | Q 6.7

Subtract: -2  "from"  (-3)/10

Exercise 2 (C) | Q 6.8

Subtract: 5/8  "from"  (-5)/16

Exercise 2 (C) | Q 6.9

Subtract: 4  "from"  -3/13

Exercise 2 (C) | Q 7

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

Exercise 2 (C) | Q 8

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

Exercise 2 (C) | Q 9

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

Exercise 2 (C) | Q 10

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

Exercise 2 (C) | Q 11

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

Exercise 2 (C) | Q 12

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

Exercise 2 (C) | Q 13

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

Exercise 2 (C) | Q 14

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

Exercise 2 (C) | Q 15

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

Exercise 2 (D)

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

Exercise 2 (D) | Q 1.1

Evaluate: 5/4 xx 3/7

Exercise 2 (D) | Q 1.2

Evaluate: 2/3 xx -6/7

Exercise 2 (D) | Q 1.3

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

Exercise 2 (D) | Q 1.4

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

Exercise 2 (D) | Q 1.5

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

Exercise 2 (D) | Q 1.6

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

Exercise 2 (D) | Q 1.7

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

Exercise 2 (D) | Q 1.8

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

Exercise 2 (D) | Q 2.01

Multiply: 3/25  "and"  4/5

Exercise 2 (D) | Q 2.02

Multiply: 1 1/8  "and"  10 2/3

Exercise 2 (D) | Q 2.03

Multiply: 6 2/3  "and"  (-3)/8

Exercise 2 (D) | Q 2.04

Multiply: (-13)/15  "and"  (-25)/26

Exercise 2 (D) | Q 2.05

Multiply: 1 1/6  "and"  18

Exercise 2 (D) | Q 2.06

Multiply: 2 1/14  "and"  -7

Exercise 2 (D) | Q 2.07

Multiply: 5 1/8  "and"  -16

Exercise 2 (D) | Q 2.08

Multiply:  35  "and"  (-18)/25

Exercise 2 (D) | Q 2.09

Multiply: 6 2/3  "and"  -3/8

Exercise 2 (D) | Q 2.1

Multiply: 3 3/5  "and"  -10

Exercise 2 (D) | Q 2.11

Multiply: 27/28  "and"  -14

Exercise 2 (D) | Q 2.12

Multiply: - 24  "and"  5/16

Exercise 2 (D) | Q 3.1

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

Exercise 2 (D) | Q 3.2

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

Exercise 2 (D) | Q 3.3

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

Exercise 2 (D) | Q 3.4

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

Exercise 2 (D) | Q 3.5

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

Exercise 2 (D) | Q 3.6

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

Exercise 2 (D) | Q 4

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

Exercise 2 (D) | Q 5

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.

Exercise 2 (D) | Q 6.1

Divide: 15/28  "by"  3/4

Exercise 2 (D) | Q 6.2

Divide: (-20)/9  "by"  (-5)/9

Exercise 2 (D) | Q 6.3

Divide: 16/-5  "by"  (-8)/7

Exercise 2 (D) | Q 6.4

Divide: -7  "by"  (- 14)/5

Exercise 2 (D) | Q 6.5

Divide: -14   "by"  7/-2

Exercise 2 (D) | Q 6.6

Divide: (- 22)/9   "by"  11/18

Exercise 2 (D) | Q 6.7

Divide: 35  "by"  (- 7)/9

Exercise 2 (D) | Q 6.8

Divide: 21/44  "by" - 11/9

Exercise 2 (D) | Q 7.1

Evaluate: 3 5/12 + 1 2/3

Exercise 2 (D) | Q 7.2

Evaluate: 3 5/12 - 1 2/3

Exercise 2 (D) | Q 7.3

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

Exercise 2 (D) | Q 8

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

Exercise 2 (D) | Q 9

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

Exercise 2 (D) | Q 10

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

Exercise 2 (D) | Q 11

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

Exercise 2 (D) | Q 12

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

Exercise 2 (D) | Q 13

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

Exercise 2 (D) | Q 14

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

Exercise 2 (E)

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

Exercise 2 (E) | Q 1.01

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

Exercise 2 (E) | Q 1.02

Evaluate: 7/-27 + 11/18

Exercise 2 (E) | Q 1.03

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

Exercise 2 (E) | Q 1.04

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

Exercise 2 (E) | Q 1.05

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

Exercise 2 (E) | Q 1.06

Evaluate: 7/-26 + 16/39

Exercise 2 (E) | Q 1.07

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

Exercise 2 (E) | Q 1.08

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

Exercise 2 (E) | Q 1.09

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

Exercise 2 (E) | Q 1.1

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

Exercise 2 (E) | Q 2

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

Exercise 2 (E) | Q 3

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

Exercise 2 (E) | Q 4

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

Exercise 2 (E) | Q 5

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

Exercise 2 (E) | Q 6

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

Exercise 2 (E) | Q 7

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

Exercise 2 (E) | Q 8.1

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

Exercise 2 (E) | Q 8.2

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

Exercise 2 (E) | Q 8.3

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

Exercise 2 (E) | Q 8.4

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

Exercise 2 (E) | Q 9

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

Exercise 2 (E) | Q 10

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

## Chapter 2: Rational Numbers

Exercise 2 (A)Exercise 2 (B)Exercise 2 (C)Exercise 2 (D)Exercise 2 (E)

## 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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