Integers - Worksheets

 CBSE Worksheet 01

Ch-6 Integers
  1. Write numbers with appropriate signs: 40∘C below 0∘C temperature.
    1. 30
    2. 40
    3. -40
    4. None of these
  2. 2 subtracted from 7 gives
    1. -5
    2. 5
    3. -9
    4. 9
  3. Fill in the blanks with >, < or = sign. (– 3) + (– 6) ______ (– 3) – (– 6)
    1. <
    2. >
    3. None of these
    4. =
  4. The number of integers between -2 and 2 is
    1. 3
    2. 5
    3. 4
    4. 2
  5. Sum of (– 9) and 15.
    1. 90
    2. -6
    3. 6
    4. 20

  6. Match the following:

    Column AColumn B
    (a) 10 steps to the right(p) -1000
    (b) 10 km below sea level(q) 1000
    (c) Deposit Rs. 1000 in a bank(r) 10
    (d) Spending Rs. 1000(s) -10

  7. Fill in the blanks:

    1. When we subtract -10 from 18 we get ______.
    2. _____ is an integer which is neither positive nor negative.
    3. 272 - 198 - ______ = 0.
    4. 15 + _____ =0

  8. State whether the following statements are true or false:

    1. If a and b are any two integers such that a > b, then -a > - b.
    2. If the sum of an integer and its opposite is zero, then they are called additive inverses of each other.
    3. The negative of 0 is -0.
    4. The sum of positive and negative integers is always negative.

  9. Write four negative integers less than –20.

  10. Write all the integers between -8 and -15. (Write them in the increasing order.)

  11. Find the solution of the following :(–9) + (+13)

  12. Subtract :(–20) – (–13)

  13. Find the value of :(–7) + (–9) + 4 + 16

  14. Using number line, add the following integers: 9 + (-6).

  15. The temperature on a certain morning is -11℃ at 5 a. m. If the temperature drops 3 degree at 6 a.m. and rises 5 degree at 8 a.m. and again drops 3 degree at 9 a.m. What is the temperature at 9 a.m.?

CBSE Worksheet 01
Ch-6 Integers

Answer

    1. (c) -40
      Explanation: below means less than 0 so it is - 40
    1. 5
      Explanation: 7 - 2 = 5
    1. <
      Explanation: -3 -6 = -9
      -3 - (-6) =- 3 +6 = 6- 3 = 3
      so -9 < 3
    1. (a) 3
      Explanation: intergers between -2 and 2 are -1,0, 1 so 3 integers
    1. 6
      Explanation: -9 + 15 = 15 - 9 = 6
    1. - (r)
    2. - (s)
    3. - (q)
    4. - ( p)
    1. 28;
    2. 0;
    3. 74;
    4. -15
    1. False
    2. True
    3. False; zero is neither negative nor positive
    4. False

  9. Four negative integers less than –20 are -21, -22, -23 and - 24.

  10. The integers between –8 and –15 in increasing order are –14, –13, –12, –11, –10 and –9.

  11. (–9) + (+13)
    = (–9) + (+9) + (+4)
    = 0 + (+4) = +4

  12. (–20) – (–13)
    = (–20) + (additive inverse of -13)
    = (–20) + (13) = –7

  13. (–7) + (–9) + 4 + 16
    = (–16) + 20
    = (–16) + 16 + 4
    = 0 + 4 = 4

  14. On the number line we first move 9 steps to the right from 0 reaching 9 and then we move 6 steps to the left of 9 and reach 3.
    Thus, 9 + (-6) = 3

  15. Temperature at 5 a.m. = -11℃
    Temperature decreased at 6 a.m. = 3℃ = -3
    Temperature raised at 8 a.m. = 5℃ = +5
    Temperature decreased at 9 a.m. = 3℃ = -3
    Final temperature at 9 a.m. = (-11) + (-3) + (+5) + (-3)
    = -11 - 3 + 5 - 3
    = -17 + 5
    = -12℃.