#### 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 1: Integers

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 1 Integers Exercise 1 (A)

Evaluate: 427 x 8 + 2 x 427

Evaluate: 394 x 12 + 394 x (-2)

Evaluate: 558 x 27 + 3 x 558

Evaluate: 673 x 9 + 673

Evaluate: 1925 x 101 – 1925

Verify: 37 x {8 +(-3)} = 37 x 8 + 37 x – (3)

Verify: (-82) x {(-4) + 19} = (-82) x (-4) + (-82) x 19

Verify: {7 – (-7)} x 7 = 7 x 7 – (-7) x 7

Verify: {(-15) – 8} x -6 = (-15) x (-6) – 8 x (-6)

Evaluate: 15 x 8

Evaluate: 15 x (- 8)

Evaluate: (-15) x 8

Evaluate: (-15) x - 8

Evaluate: 4 x 6 x 8

Evaluate: 4 x 6 x (- 8)

Evaluate: 4 x (- 6) x 8

Evaluate: (- 4) x 6 x 8

Evaluate: 4 x (- 6) x (- 8)

Evaluate: (- 4) x (- 6) x 8

Evaluate: (- 4) x 6 x (- 8)

Evaluate: (- 4) x (- 6) x (- 8)

Evaluate: 2 x 4 x 6 x 8

Evaluate: 2 x (- 4) x 6 x 8

Evaluate: (- 2) x 4 x (- 6) x 8

Evaluate: (- 2) x (- 4) x 6 x (- 8)

Evaluate: (- 2) x (- 4) x (- 6) x (- 8)

Determine the integer whose product with ‘-1’ is: - 47

Determine the integer whose product with ‘-1’ is: 63

Determine the integer whose product with ‘-1’ is: -1.

Determine the integer whose product with ‘-1’ is: 0.

**Eighteen integers are multiplied together. What will be the sign of their product, if: **

15 of them are negative and 3 are positive?

**Eighteen integers are multiplied together. What will be the sign of their product, if: **

12 of them are negative and 6 are positive?

**Eighteen integers are multiplied together. What will be the sign of their product, if: **

9 of them are positive and the remaining are negative?

**Eighteen integers are multiplied together. What will be the sign of their product, if: **

all are negative?

**Find which is greater? **

(8 + 10) x 15 or 8 + 10 x 15

**Find which is greater? **

12 × (6 – 8) or 12 × 6 – 8

**Find which is greater? **

{(-3) – 4} × (-5) or (-3) – 4 × (-5)

**State, true or false of the given statement: **

product of two integers can be zero.

True

False

**State, true or false of the given statement: **

product of 120 negative integers and 121 positive integers is negative.

True

False

**State, true or false of the given statement: **

a x (b + c) = a x b + c

True

False

**State, true or false of the given statement: **

(b – c) × a=b – c × a

True

False

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 1 Integers Exercise 1 (B)

Divide: 117 by 9

Divide: (- 117) by 9

Divide: 117 by (- 9)

Divide: (- 117) by (- 9)

Divide: 225 by (- 15)

Divide: (- 552) ÷ 24

Divide: (- 798) by (- 21)

Divide: (- 910) ÷ – 26

Evaluate: (- 234) ÷ 13

Evaluate: 234 ÷ (- 13)

Evaluate: (- 234) ÷ (- 13)

Evaluate: 374 ÷ (- 17)

Evaluate: (- 374) ÷ 17

Evaluate: (- 374) ÷ (- 17)

Evaluate: (- 728) ÷ 14

Evaluate: 272 ÷ (- 17)

**Find the quotient of the following division: **

299 ÷ 23

**Find the quotient of the following division: **

299 ÷ (- 23)

**Find the quotient of the following division: **

(- 384) ÷ 16

**Find the quotient of the following division: **

(- 572) ÷ (- 22)

**Find the quotient of the following division: **

408 ÷ (- 17)

Divide: 204 by 17

Divide: 152 by - 19

Divide: 0 by 35

Divide: 0 by - 82

Divide: 5490 by 10

Divide: 762800 by 100

**State, true or false for a given statement.**

0 ÷ 32 = 0

True

False

**State, true or false for a given statement.**

0 ÷ (- 9) = 0

True

False

**State, true or false for a given statement.**

(- 37) ÷ 0 = 0

True

False

**State, true or false for a given statement.**

0 ÷ 0 = 0

True

False

Evaluate: 42 ÷ 7 + 4

Evaluate: 12+18 ÷ 3

Evaluate: 19 – 20 ÷ 4

Evaluate: 16 – 5 x 3 + 4

Evaluate: 6 – 8 – (- 6) ÷ 2

Evaluate: 13 -12 ÷ 4 × 2

Evaluate: 16 + 8 ÷ 4 - 2 x 3

Evaluate: 16 ÷ 8 + 4 – 2 x 3

Evaluate: 16 – 8 + 4 ÷ 2 x 3

Evaluate: (-4) + (-12) ÷ (-6)

Evaluate: (- 18) + 6 ÷ 3 + 5

Evaluate: (-20) x (-1) + 14 ÷ 7

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 1 Integers Exercise 1 (C)

Evaluate: 18 -(20 - 15 ÷ 3)

Evaluate: - 15 + 24 ÷ (15 - 13)

`35 – [15 + {14 - (13 + bar(2 - 1 + 3))}]`

`27- [13 + {4-(8 + 4 - bar(1 + 3)}]`

`32 - [43-{51 - (20 - bar(18 - 7))}]`

46 - [26 - {14 - (15 - 4 ÷ 2 x 2)}]

45 – [38 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}]

`17- [17 — {17 — (17 –bar(17 - 17))}]`

`2550 – [510 – {270 – (90 – bar(80 + 7))}]`

`30 + [{ - 2 xx (25 - bar(13 - 3))}]`

88 - {5 - (- 48) ÷ (- 16)}

`9 xx (8 - bar(3 + 2)) - 2(2 + bar(3 + 3))`

`2 – [3 – {6 – (5 – bar(4 - 3))}]`

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 1 Integers Exercise 1 (D)

The sum of two integers is -15. If one of them is 9, find the other.

The difference between an integer and -6 is -5. Find the values of x.

The sum of two integers is 28. If one integer is -45, find the other

The sum of two integers is -56. If one integer is -42, find the other.

The difference between an integer x and (-9) is 6. Find all possible values of x.

Evaluate: (-1) x (-1) x (-1) x ….60 times

Evaluate: (-1) x (-1) x (-1) x (-1) x ….70 times

Evaluate: (-2) × (-3) × (-4) × (-5) × (-6)

Evaluate: (-3) × (-6) × (-9) × (-12)

Evaluate: (-11) × (-15) + (-11) × (-25)

Evaluate: 10 × (-12) + 5 × (-12)

If `x × (-1) = -36`, is x positive or negative?

If `x × (-1) = 36`, is x positive or negative?

Write all the integers between -15 and 15, which are divisible by 2 and 3.

Write all the integers between -5 and 5, which are divisible by 2 or 3.

Evaluate: (-20) + (-8) ÷ (-2) × 3

Evaluate: (-5) – (-48) ÷ (-16) + (-2) × 6

Evaluate: 16 + 8 ÷ 4 – 2 × 3

Evaluate: 16 ÷ 8 x 4 – 2 × 3

Evaluate: 27 – [5 + {28 – (29 – 7)}]

Evaluate: `48-[18-{16-(5 –bar(4 + 1))}]`

Evaluate: -8 – {- 6 (9 – 11) + 18 ÷ -3}

Evaluate: `(24 ÷ bar(12 - 9) - 12) - (3 xx 8 = 4 + 1)`

Find the result of subtracting the sum of all integers between 20 and 30 from the sum of all integers from 20 to 30.

Add the product of (-13) and (-17) to the quotient of (-187) and 11.

The product of two integers is-180. If one of them is 12, find the other.

A number changes from -20 to 30. What is the increase or decrease in the number?

A number changes from 40 to - 30. What is the increase or decrease in the number?

## Chapter 1: Integers

## Selina solutions for Concise Mathematics Class 7 ICSE chapter 1 - Integers

Selina solutions for Concise Mathematics Class 7 ICSE chapter 1 (Integers) 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 1 Integers are Multiplication and Division of Integers, Concept of Integers, Properties of Operations on Integers, Concept for Commutativity, Associativity, Existence of Identity, Inverse and Distributivity, Problem Solving Using Operations on Integers, Statement Problems on Integers Using All Fundamental Operations..

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