Question 1:

Write ‘true’ or ‘false’ for the following:

(i) Zero is the smallest integer.

(ii) –10 is smaller than –7.

(iii) 1 is the smallest positive integer.

(iv) –1 is the smallest negative integer.

(v) Sum of two negative integers is a positive integer.

 Question 2:

What number should be added to the sum of 345 and 67 to make it equal to the smallest 3-digit number?

Question 3:

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

Question 4:

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

Question 5:

Fill in the blanks:

(a) When we subtract -10 from 18, we get ______.

(b) _____ is an integer which is neither positive nor negative.

(c) 272 – 198 – ______ = 0.

(d) 15 + _____ =0

Question 6:

If * is an operation such that for two integers p and q, p * q = p + q – 2, then find:
(a) 6 * 2
(b) (- 2) * (- 3)
(c) (- 2) * (4)
(d) (+ 3) * (- 1)

Question 7:

Represent the following on number line:
(a) -5
(b) 4

Question 8:

Comparing the following pairs of number use > or < .

Question 9:

Fill in the blanks:
(a) To subtract (- 8) from 13, we add ……… to 13.
(b) To subtract 5 from (- 12), we add ……… to (-13)
(c) The negative of a negative integer is a ……… integer.
(d) An integer when added to its opposite gives ……… as the sum.
(e) -4 + ……... = 1
(f) 4 – (- 3) = ………
(g) ……… + (- 79) = 19

Question 10:

State whether the following statements are true or false:

(a) If a and b are any two integers such that a > b, then -a > – b.

(b) If the sum of an integer and its opposite is zero, then they are called additive inverses of each other.

(c) The negative of 0 is -0.

(d) The sum of positive and negative integers is always negative.

Question 11:

Write the following integers in decreasing order:

(a) -71, -81, 36, 0, -5

(b) -365, -515, 102, 413, -7

Question 12:

Simplify:

(a) (-24) x (68) + (-24) X32

(b) (-9) x 18 – (-9) x 8

Question 13:

(a) Write the successor of -89

(b) Write the predecessor of -99.

Question 14:

(a) What should be added to 16 to get (-31)?

(b) When 34 is subtracted from – 36, what would be get?

Question 15:

(a) Write the integer which is 5 more than -6.

(b) 2 less than -3.

Question 16:

Write all the integers between the following pair of integers:

(а) 0 and – 6

(b) – 3 and 3

Question 17:

Find the value of:

(a) 9 - |-6|

(b) 6 + |-4|

(c) -8 - |-3|

Question 18:

Find the solution of the following additions using number line:

(a) (- 3) + 5

(b) (- 5) + (-2)

Question 19:

Fill in the blanks:

(a) 80 ÷ (___) = -5

(b) (___) ÷ 1 = -186

(c) (___) ÷ (-1) = 73

Question 20:

Write the following integers in their increasing order.

– 3, 0, – 6, 5, – 4, 6, 3, – 8

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