Question 1: Write the following integers in an ascending order:

  1. -13, 2, -123, -3, 11, 0
    • Answer: -123, -13, -3, 0, 2, 11
  2. 143, -317, -1, 19, -63, -19
    • Answer: -317, -63, 19, -1, 19, 143

 

Question 2: Write the following integers in an descending order:

  1. 17, 0, -5, 69, -124, -1
    • Answer: 69, 17, 0, -1, -5, -124
  2. -3, -77, 2, -345, -49, -617
    • Answer: 2, -3, -49, -77, -345, -617

 

Question 3: Add the following:

  1. 64 + (-27) = 37
  2. (-89) + 16 = -73
  3. (-46) + (-38) = -84
  4. (-47) + 85 + (-6) = 32
  5. 348 + (-121) + (-765) = -538
  6. (-248) + (414) + (-8) + (77) + (-19) = 216

 

Question 4: Find the additive inverse of:

  1. -987
    • Answer: -987+a=0 Therefore additive inverse is 987
  2. 0
    • Answer: 0+a=0 Therefore additive inverse is 0
  3. 1428
    • Answer: 1428+a=0 Therefore additive inverse is -1428

 

Question 5: Find the successor of the following integers:

  1. -1009
    • Answer: -1009 + 1 = -1008
  2. 0
    • Answer: 0 + 1 = 1
  3. -1
    • Answer: -1 + 1 = 0
  4. 4321
    • Answer: -4321 + 1 = -4320

 

Question 6: Find the predecessor of the following integers:

  1. -1009
    • Answer: -1009 - 1 = -1010
  2. 0
    • Answer: 0 - 1 = -1
  3. -1
    • Answer: -1 + 1 = 0
  4. 2094
    • Answer: -2094 + 1 = -2093

 

Question 7: A bus starts from the terminal and moves 188 \ km to the EAST and then \ 343 km to the west. How far is the bus from the terminal?v21

Answer: 155 \ km

 

Question 8: A shopkeeper purchased a book for Rs. \ 345 , a pencil box for Rs. \ 62 , a note book for Rs. \ 21 and a pen for Rs. \ 79 . He sold the book for Rs. \ 376 , pencil for Rs. \ 55 , notebook for Rs. \ 25 and a pen for Rs. \ 67 . What is his gain or loss?

Answer:

Total Cost in Rs. = 345 + 62 + 21 + 79 = 507

Total Sales in Rs. = 376 + 55 + 25 + 67 = 523

Gain = Total Sales – Total Cost = 523 - 507 = Rs. \ 16

 

Question 9: Find an integer such that:

  1. a+ (-7) = 0 Answer: a = 7
  2. (-4) + a = 0 Answer: a = 4
  3. a + 12 = 0 Answer: a = -12
  4. 21 + a = 0 Answer: a = -21

 

Question 10: Subtract:

  1. 3715 from (-468)
    • Answer: (-468) - (3715) = -4183
  2. (-329) from 0
    • Answer: 0 - (-329) = 329
  3. (-2347) from 1543
    • Answer: 1543 - (-2347) = 3890
  4. (-4682) from (-419)
    • Answer: (-419) - (4682) = 4263
  5. (-76) from the sum of (-813) and 248
    • Answer: (-813) + 248 - (-76) = -489
  6. The sum of (-66) and 619 from the sum of 597 and (-184)
    • Answer: \{ (597) + (-184) \} - \{ (-66) + 619 \} = (413) - (553) = -140

 

Question 11: Simplify:

\{ (-78) - (-92) \}+ \{ (-54) - (-21) \}

= (-78 + 92)+ (-54 + 21)

= 14 + (-33)

= -19

\{ 92 -  (-53) \} - \{ 76 - (-132) \}

= (92 + 53) - (76 + 132)

= 145 -  208

 

Question 12: The sum of the two integers is -29 . If one of the integer is 182 , find the other.

Answer: Let one integer = a

a + 182 = -29

a = -29-(182)

= -211

 

Question 13: The difference of an integer a and -37 is -14 . Find the value of a .

Answer:

a - (-37) = -14

a = -14 + (-37) = -51

 

Question 14: During a month, the average temperature of desert region was 37^o C and the average night temperature was -4^o C . Find the difference between the average day temperature and the average night temperature

Answer:

Average day temperature – average night temperature

= 37 - (-4)

= 41^o \ C

Question 15: Find the products

  1. 16 \times 25 = 400
  2. (-34) \times 76= -2584
  3. 26 \times (-496)= -12896
  4. (-289) \times (-173)=49997
  5. (-25) \times 17 \times (-42)=17850
  6. 31 \times 13 \times (-23)= -9269

 

Question 16: Divide

  1. 893 by 19
    • Answer: 839 / 19=47
  2. (-629) by 37
    • Answer: (-629) / 37= -17
  3. 224 by (-14)
    • Answer: 224  / (-14)= -16
  4. (-423) by (-47)
    • Answer: (-423) / (-47)=9

 

Question 17: In an examination consisting of 20 questions, 5 marks are awarded for each correct question, (-2) marks are awarded for each incorrect answer and 0 for each question left un-attempted.  Aditya answered 10 questions correctly and 2 questions incorrectly. While Cyrus answered 12 questions correctly and 8 questions incorrectly. Who scored more marks and what was his score.

Answer:

Aditya’s Marks =10 \times 5+2 \times (-2)=46

Cyrus’s Marks  =12 \times 5+8 \times (-2)=44

Therefore Aditya scored more marks and his score was 46 marks.

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