Integers worksheets for class 7 with answers in PDF format for free download

Integers Worksheet for Class 7 Maths – Chapter 1

January 25, 2023

Download free pdf of Chapter 1 Integers Worksheets for Class 7 Maths with answers. Students can easily get all the Class 7 Maths Worksheets and Exercises in Free Printable ( PDF Format) as per the latest syllabus and examination pattern in CBSE and NCERT pattern. Below you will find all the Integers related sums that are asked in 7th Grade Mathematics Exams Across Indian Schools.

Integers Worksheets for Class 7 in PDF Format

CBSE Class 7 Integers Practice Worksheet

Q.1) Write the integer which is its own additive inverse.

Answer : The integer which is its own additive inverse is 0. This is because when you add 0 to itself, you get 0: 0 + 0 = 0.

Q.2) Write six distinct integers whose sum is 7.

Answer : Six distinct integers whose sum is 7 could be: -3, -2, -1, 0, 1, and 12. When you add these numbers together, you get: -3 + (-2) + (-1) + 0 + 1 + 12 = 7.

Q.3) Write the integer which is 4 more than its additive inverse.

Answer : The integer which is 4 more than its additive inverse is 4. This is because when you add 4 to its additive inverse (-4), you get 0: 4 + (-4) = 0

Q.4) Write the integer which is 2 less than its additive inverse.

Answer : The integer which is 2 less than its additive inverse is -1. This is because when you add 2 to its additive inverse (2), you get 0: (-1) + 2 = 1.

Q.5) Write two integers whose sum is less than both the integers.

Answer : Two integers whose sum is less than both integers could be -3 and -2. When you add these numbers together, you get: -3 + (-2) = -5, which is less than both -3 and -2.

Q.6) Find the product, using suitable properties:
(a) 26 × (– 48) + (– 48) × (–36)
(b) 8 × 53 × (–125)
(c) 15 × (–25) × (– 4) × (–10)
(d) (– 41) × 102
(e) 625 × (–35) + (– 625) × 65
(f) 7 × (50 – 2)
(g) (–17) × (–29)
(h) (–57) × (–19) + 57

Answers:

(a) 26×(−48)+(−48)×(−36)26×(−48)+(−48)×(−36) = −1248+1728−1248+1728 = 480480

(b) 8×53×(−125)8×53×(−125) = −424,000−424,000

(c) 15×(−25)×(−4)×(−10)15×(−25)×(−4)×(−10) = −15000−15000

(d) (−41)×102(−41)×102 = −4182−4182

(e) 625×(−35)+(−625)×65625×(−35)+(−625)×65 = −21875−40625−21875−40625 = −62500−62500

(f) 7×(50−2)7×(50−2) = 7×487×48 = 336336

(g) (−17)×(−29)(−17)×(−29) = 493493

(h) (−57)×(−19)+57(−57)×(−19)+57 = 1083+571083+57 = 11401140

Q.7) Evaluate each of the following:
(a) (–30) ÷ 10
(b) 50 ÷ (–5)
(c) (–36) ÷ (–9)
(d) (– 49) ÷ (49)
(e) 13 ÷ [(–2) + 1]
(f ) 0 ÷ (–12)
(g) (–31) ÷ [(–30) + (–1)]
(h) [(–36) ÷ 12] ÷ 3
(i) [(– 6) + 5)] ÷ [(–2) + 1]

Answers:

(a) (−30)÷10(−30)÷10 = −3−3

(b) 50÷(−5)50÷(−5) = −10−10

(c) (−36)÷(−9)(−36)÷(−9) = 44

(d) (−49)÷49(−49)÷49 = −1−1

(e) 13÷[(−2)+1]13÷[(−2)+1] = 13÷(−1)13÷(−1) = −13−13

(f) 0÷(−12)0÷(−12) = 00

(g) (−31)÷[(−30)+(−1)](−31)÷[(−30)+(−1)] = (−31)÷(−31)(−31)÷(−31) = 11

(h) (−36÷12)÷3(−36÷12)÷3 = (−3)÷3(−3)÷3 = −1−1

(i) ((−6)+5)÷[(−2)+1]((−6)+5)÷[(−2)+1] = (−1)÷(−1)(−1)÷(−1) = 11

Q.8) Find the sum of the pairs of integers:
(a)–6,–4      (b)+3,–4     (c)+4,–2

Answers :

(a) (−6)+(−4)=−10(−6)+(−4)=−10
(b) (+3)+(−4)=−1(+3)+(−4)=−1
(c) (+4)+(−2)=+2(+4)+(−2)=+2

Q.9) Find the sum of –2 and –3, using the number line.

Q.10) Subtract : (i) 3 from –4 (ii) –3 from –4

Answers :

(i) −4−3=−7−4−3=−7
(ii) −4−(−3)=−4+3=−1−4−(−3)=−4+3=−1

Q.11) Using the number line, subtract : (a) 2 from –3 (b) –2 from –3.

Q.12) How many integers are there between –9 and –2 ?

Answers : There are 8 integers between -9 and -2: -8, -7, -6, -5, -4, -3, -2, -1.

Q.13) Calculate: 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9 – 10

Answer:

This is an alternating series of positive and negative integers. When you group them in pairs, you get:

(1−2)+(3−4)+(5−6)+(7−8)+(9−10)=(−1)+(−1)+(−1)+(−1)+(−1)=−5(1−2)+(3−4)+(5−6)+(7−8)+(9−10)=(−1)+(−1)+(−1)+(−1)+(−1)=−5

So, the sum is -5.

Q.14) The pair of integers whose sum is –5
(b)1,–4 (b) –1,6 (c) –3,–2

Answer: The pair of integers whose sum is -5 is (a) 1, -4.

Q.15) Perform the given operations and write the answers.

  1. -5 + 8
    Answer: 3
  2. -12 – 6
    Answer: -18
  3. 4 × (-3)
    Answer: -12
  4. -15 ÷ 5
    Answer: -3
  5. -2 × (-9)
    Answer: 18

Q.16) Compare the given integers using the appropriate symbol (<, >, or =).

  1. -7 ___ -3
    Answer: <
  2. -10 ___ -10
    Answer: =
  3. 5 ___ -2
    Answer: >
  4. -4 ___ 0
    Answer: <
  5. 9 ___ 12
    Answer: <

Q.17) Find the absolute value of the given integers.

  1. |-8|
    Answer: 8
  2. |5|
    Answer: 5
  3. |-12|
    Answer: 12
  4. |-3|
    Answer: 3
  5. |0|
    Answer: 0

Q.18) Solve the following word problems involving integers.

  1. A football team gained 7 yards on one play and then lost 5 yards on the next play. How many yards did they gain or lose in total?
    Answer: 2 yards gained
  2. A temperature dropped by 10 degrees Celsius in the morning and then rose by 5 degrees Celsius in the afternoon. What was the net change in temperature?
    Answer: -5 degrees Celsius
  3. A submarine descended 200 meters below sea level and then ascended 150 meters. What is the final depth of the submarine?
    Answer: -50 meters below sea level
  4. A student earned 8 points on a quiz and then lost 3 points on the next quiz. What is the total score?
    Answer: 5 points
Integers Worksheets For CBSE Class 7 in PDF