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## Worksheet for Class 7 Mathematics Chapter 1 Integers

Class 7 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 1 Integers in Class 7. This test paper with questions and answers for Class 7 will be very useful for exams and help you to score good marks

### Class 7 Mathematics Worksheet for Chapter 1 Integers

CBSE Class 7 Maths Worksheet - Integers (3)

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**INTEGERS (MULTIPLICATION)**

**Multiplication of Integers **

Multiplication is basically repeated addition. Therefore multiplication of integers is the repeated addition as:

**Properties of Multiplication of Integers**

Distributive Property According to the distributive property of multiplication of integers, if a, b and c are three integers then,

a× (b + c) = (a × b) + (a × c)

Example -

**QUESTIONS :- **

**Q1. SIMPLIFY :- **

**(i) (−8) × 9 + (−8) × 7Solution. **(−8) ×× (9 + 7) [using the distributive law]

= (−8) ×× 16

= −128

**(ii) 9 × (−13) + 9 × (−7)**

**Solution.**

**9 ×× (−13 + (−7)) [using the distributive law]**

= 9 ×× (−20)

= −180

** (iii) 20 × (−16) + 20 × 14**

**Solution.**

**20 ×× (−16 + 14) [using the distributive law]**

= 20 ×× (−2)

= −40

**(iv) (−16) × (−15) + (−16) × (−5)**

**Solution.**

**(−16) ×X (−15 + (−5)) [using the distributive law]**

= (−16) ×X(−20)

= 320

**(v) (−11) × (−15) + (−11) × (−25)**

**Solution.**

**(−11) ×X(−15 +(−25)) [using the distributive law]**

= (−11) ×X (−40)

= 440

** (vi) 10 × (−12) + 5 × (−12)**

**Solution.**

**(−12) ×× (10 + 5) [using the distributive law]**

= (−12) ×× 15

= −180

** (vii) (−16) × (−8) + (−4) × (−8)**

**Solution.**

**(−16 + (−4)) ×× (−8) [using the distributive law]**

= (−20) ×× (−8)

= 160

** (viii) (−26) × 72 + (−26) × 28**

**Solution.**

**(−26) ×× (72 + 28) [using the distributive law]**

= (−26) ××100

= −2600

**Q2. Fill in the blanks :- **

**(i) (−6) × (......) = 6**

**(ii) (−18) × (......) = (−18)**

**(iii) (−8) × (−9) = (−9) × (......)**

**(iv) 7 × (−3) = (−3) × (......)**

**(v) {(−5)×3} × (−6) = (......) × {3×(−6)}**

**(vi) (−5) × (......) = 0**

Answer.

(i) (−6) × (x) = 6 x = 6−6 = −66= −1x = 6-6 = -66= -1 Thus, x = (−1)

Answer.

(ii) 1 [∵ Multiplicative identity]

(iii) (−8) [∵ Commutative law]

(iv) 7 [∵ Commutative law]

(v) (−5) [∵ Associative law]

(vi) 0 [∵ Property of zero]

**Q3. Prove that :- i). (-3) × {4 × (-5)} = (- 3) × {4 × (-5)}**

**Solution.**

**(-3) × {4 × (-5)} = (-3) × (-20) = 3 × 20 = 60**

and, {(-3) × 4} × (-5) = (-12) × (-5) = 12 × 5 = 60

Therefore, (- 3) × {4 × (-5)} = {(-3) × 4} × (-5)

**(ii) (-2) × {(-3) × (-5)} = (- 2) × {(-3) × (-5)}**

**Solution.**

**(-2) × {(-3) × (-5)} = (-2) × 15 = -(2 × 15)= -30**

and, {(-2) × (-3)} × (-5) = 6 × (-5) = -(6 × 5) = -30

Therefore, (- 2) × {(-3) × (-5)} = {-2) × (-3)} × (-5)

Q4. Solve that :-7 × (-3) = (-3) × 7**Solution.**** **7 × (-3) = -(7 × 3) = -21 and (-3) × 7

= -(3 × 7) = -21 Therefore, 7 × (-3)

= (-3) × 7

Q5. Prove that (-5) × (-8) = (-8) × (-5)**Solution.**(-5) × (-8) = 5 × 8 = 40 and (-8) × (-5) = 8 × 5 = 40

Therefore, (-5) × (-8) = (-8) × (-5).

Please click the below link to access CBSE Class 7 Maths Worksheet - Integers (3)

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### CBSE Class 7 Mathematics Chapter 1 Integers Worksheet

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