## Integers Worksheet for Class 7 with Answer

**1) Write the Properties of Integers (1 x 10 = 10 Marks)**

i) 5 + (-5) = (-5) + 5

ii) 7 x [5 x (-3)] = [7 x 5] x (-3)

iii) (-9) + 0 = -9

iv) 9 x (-17) = (-17) x 9

v) (-111) x 1 = -111

vi) 15 + [(-18) + (-39)] = [15 + (-18)] + (-39)

vii) 18 + (-18) = (-18) + 18 = 0

viii) 9 x [10 + (-9)] = [9 x 10] + [9 x (-9)]

ix) -17 x [(-10) – (-18)] = [(-17) x (-10)] – [(-17) x (-18)]

x) -5 x 4 = 20

**(2) Write the following statement True or False. (1 x 10 = 10 Marks)**

i) If any integer is exactly divisible by 2, then the integer known as odd integer.

ii) If even number of negative integers are multiplied, then the sign of the product is always negative.

iii) Any integer -57 x 0 = 0 x (-57) = (-57)

iv) Subtracting positive integer from any integer increase the value of integer.

v) -60 + (75) = 75 + (-60)

vi) 0 is a positive integer

vii) Positive integers lies on the left of the zero on the number line.

viii) 0 is an odd integer.

ix) Division of integers follows the associative properties.

x) (12) x (-8) = -96

**(3) Match the following. (5 x 1 = 5)**

|| |
-5 |

2 more than -7 |
Sign for absolute value |

+539 – 539 |
284 |

265 – (-2 – 13 – 4) |
negative |

Positive x negative |
0 |

**(4) Solve the following. (1 x 10 = 10)**

(i) -127 x (89 + 90)

(ii) 33 x [(-27) – (-2)]

(iii) -33 x 1

iv) 2 + (-3)

v) -18 + (-17)

vi) – 18 + [(-16) + (-5)]

vii) -127 x 0

viii) 13 x [(-23) x (-70)]

ix) (-108) – (-3)

x) (-20) x (-18) x (-100)

**5) Fill in the blanks using <, > or = (1x 5 = 5 Marks)**

i) -31 – (12)___ 12 – (-31)

(ii) -76 + 12 ____ 12 + (-76)

iii) – 1001 ____ -1331

iv) 0 ___ -70

v) -700 + [-100 + (-100)] ____ -800 + [-100 + (-100)]

**6) Verify the following. (5 x 2 = 10 Marks)**

i) – 18 + (+18) = (+18) + (-18)

ii) – 18 – (+18) ≠ (+18) – (-18)

iii) 1001 + [(-56) + (-8)] = [1001 + (-56)] + (-8)

iv) – 1071 x [-13 + 4] = [-1071 x (-13)] + [-1071 x 4)

v) 441 ÷ (20 + 1) ≠ (441 ÷ 20) + (441 ÷ 1)

**7) Answer the following questions. Attempt any 5. (5 x 3 = 15 Marks)**

i) Rana scored 50 marks in his Silverzone Olympiad Test, while Arup scored -20. What is the difference of their score?

ii) Rama has Rs. 1000 in her Google Pay Account. She brought a shampoo Rs. 390 and a Sunscreen cream Rs. 450 from a shop. After buying both items she reached her home by bus. Her Bus fair was Rs. 10. What is the total money now Rama has?

iii) In the class test, for every correct answer, +2 marks are added, and for every incorrect answer, -2 marks are added. Shankhadeep answered in total 50 questions, of which 35 were correct and the rest were incorrect. What was his score in that test?

iv) Priyanka climbed a total 50 stairs with her students to teach them integers practically. If each stair value was (-2), What was the value after completing 50 stairs?

v) A room heater heats the room at the rate +5^{o} C at every 30 minutes. If at the starting at 9 Pm the temperature is -10^{0 } What will be the temperature of the room after one and half hour?

vi) Papiya covered a distance from her office to her house in 10 km/hr in 30 minutes. What was the total distance she covered?

**8) By using BODMAS formula, solve the following (Any 4): (5 x 2 = 10 marks)**

i) – 130 x (– 30) x (-5) x 10

ii) 2 + {(-10 + 27} + {(-20) – (-10)} -2

iii) 6 – 2 + 3 + 2

iv) 120 x [(21) – (-7)]

v) 101 – 99 ÷ 9 – 90

**9) Assertion – Reason Questions (Marks 2x 1½ = 3)**

**Directions (Questions i to ii): Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:**

**a.) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).**

**b.) Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).**

**c.) Assertion (A) is true but Reason (R) is false.**

**d.) Assertion (A) is false but Reason (R) is true.**

**(i) **

**Assertion:** By Subtracting positive integer from any integer increase the value of the integer

**Reason:** By Adding negative integer to any integer decrease the value of the integer.

**(ii) **

**Assertion:** 13 + (-13) = (-13) + 13 = 0

**Reason:** Additive inverse of an integer can be obtained by changing its sign.

Integers Worksheet for Class 7

**(10) Using the Number line solve the following: (Marks 2 x 2 = 4)**

i) -5 more than 2

ii) 3 less than -5

Also See: More Assertion Reason Questions

**[PDF] Download this Worksheet to solve later**

**Answer Sheet of above Integers Worksheet for Class 7**

**1)**

i) Commutative property of addition.

ii) Associative property of multiplication.

iii) Additive identity

iv) Commutative property of multiplication.

v) Multiplicative identity.

vi) Associative property of Addition.

vii) Additive Inverse.

viii) Distributive property of multiplication over addition.

ix) Distributive property of multiplication over subtraction.

x) Closure property of multiplication.

**2) **

(i) False

(ii) False

(iii) False

(iv) False

(v) True

(vi) False

(vii) False

(viii) False

(ix) False

(x) True

**3)**

|| |
Sign for absolute value |

2 more than -7 |
-5 |

+539 – 539 |
0 |

265 – (-2 – 13 – 4) |
284 |

Positive x negative |
negative |

**(4) **

(i) -127 x (89 + 90)

= – 127 x 179

= – 22,733

(ii) 33 x [(-27) – (-2)]

= 33 x (-27 + 5)

= 33 x (-22)

= – 726

(iii) -33 x 1

= – 33

iv) 2 + (-3)

= 2 – 3

= -1

v) -18 + (-17)

= – 18 – 17

= – 35

vi) – 18 + [(-16) + (-5)]

= – 18 + (-16 – 5)

= 18 + (-21)

= 18 – 21

= -3

vii) -127 x 0

= 0

viii) 13 x [(-23) x (-70)]

= 13 x [161]

= 2093

ix) (-108) – (-3)

= – 108 + 3

= – 105

x) (-20) x (-18) x (-100)

= 360 x (-100)

= – 36000

**5)**

i) <

ii) =

iii) >

iv) >

v) >

6)

i) – 18 + (+18) = (+18) + (-18)

LHS,

– 18 + (+18)

= – 18 + 18

= 0

RHS,

(+18) + (-18)

= + 18 – 18

= 0

Hence, verified.

ii) – 18 – (+18) ≠ (+18) – (-18)

LHS,

– 18 – (+18)

= – 18 – 18

= -36

RHS,

(+18) – (-18)

= +18 + 18

= + 36

Hence, – 18 – (+18) ≠ (+18) – (-18) (Verified)

iii) 1001 + [(-56) + (-8)] = [1001 + (-56)] + (-8)

LHS,

1001 + [(-56) + (-8)]

= 1001 + [-56 – 8]

= 1001 + [-64]

= 1001 – 64

= 937

RHS,

[1001 + (-56)] + (-8)

= [1001 – 56] – 8

= 944 – 8

= 937

Hence, verified.

iv) – 1071 x [-13 + 4] = [-1071 x (-13)] + [-1071 x 4)

LHS,

– 1071 x [-13 + 4]

= [-1071 x (-13)] + [-1071 x 4)

= 13923 + (-4284)

= 13923 – 4284

= 9639

RHS,

[-1071 x (-13)] + [-1071 x 4)

= 13923 + (-4284)

= 13923 – 4284

= 9639

Hence, Verified.

v) 441 ÷ (20 + 1) ≠ (441 ÷ 20) + (441 ÷ 1)

LHS,

441 ÷ (20 + 1)

= 441 ÷ 21

= 21

RHS,

(441 ÷ 20) + (441 ÷ 1)

= 22.05 + 441

= 463.05

Hence, 441 ÷ (20 + 1) ≠ (441 ÷ 20) + (441 ÷ 1) (verified)

**7)**

(i) Rana scored = 50

Arup scored = -20

Difference of their score = 50 – (-20)

= 50 + 20

= 70

(ii) Rama has total money in her Google Pay = Rs. 1000

She brought Shampoo Rs. 390

She brought Sunscreen cream Rs. 450

Bus Fair Rs. 10

Total money now, Rama has =

1000 – [390 + 450 + 10]

= 1000 – 850

= 250

Ans. Rs. 250 is now in her account.

(iii) For correct answer marks given +2

For incorrect answer marks subtract -2

Shankhadeep answered 35 correct answer (out of 50) = (35 x 2) = 70 Marks

Incorrect answer by Shankhadeep = (50 – 35) = 15

Shankhaddep answered 15 incorrect answer = 15 x (-2) = -30

∴ His score in the test is 70 – 30 = 40

(iv) Priyanka climbed a total 50 stairs.

Each stair value was = (-2)

∴ Total value after completing the stairs = 50 x (-2)

= -100

v) Room heater heats the room at the rate of +5^{o} C at every 30 minutes.

At 9 PM Temperature of the room was = -10 degree Celsius.

In 1 and half hour there is total **three** 30 minutes

∴ At 10 : 30 PM Temperature will = -10 [+5 +5 +5]

= – 10 + 15

= +5^{o} C

vi) Papiya covered a distance from her office to her house in 10 km/hr.

Total time taken = 30 min

= 30/60 hr

= ½ hr

We know, Distance = Speed x Time

= 10 km/hr x ½ hr

= 5 km.

**8)**

i) – 130 x (– 30) x (-5) x 10

= -130 x 150 x 10

= – 19500 x 10

= – 195000

ii) 2 + {(-10 + 27} + {(-20) – (-10)} -2

= 2 + (+17) + {-20 + 10} – 2

= 2 + 17 + (-10) – 2

= 2 + 17 – 10 – 2

= 19 – 10 – 2

= 9 – 2

= 7

iii) 6 – 2 + 3 + 2

= (6 + 3 + 2) – 2

= 11 – 2

= 9

iv) 120 x [(21) – (-7)]

= [120 x 21) – [120 x (-7)]

= 2520 – (-840)

= 2520 + 840

= 3360

v) 101 – 99 ÷ 9 – 90

= 101 – 11 – 90

= 90 – 90

= 0

**9)**

i) d.) Assertion (A) is false but Reason (R) is true.

ii) a.) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A

**10) **

i) -5 more than 2

5 + 2

= 7

ii) 3 less than -5

-5 – 3

= – 8