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\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

Example 4: Evaluate the absolute value of the following integers:

(a) 107 (b) –59
Solution: (a) Absolute value of 107 = |107| = 107
(b) Absolute value of –59 = |–59| = 59
Practice Time 10A

1. Which of the following are integers?
1 2
–142, 254, –1.9, –7, 0, 2 , − , 547
4 3
2. Write the opposite of the following:
(a) 50 m fall in water level (b) 9°C below 0°C
(c) Decrease in marks (d) 1899 CE
3. Indicate the following as integers with appropriate signs:

(a) 12 cm more than the actual length (b) a loss of `700 in trading
(c) 6 kg increase in weight (d) withdrawal of `5100 from the bank
4. Draw a number line and find:
(a) the number that is 5 units right of –3.

(b) the number that is 8 units left of 2.
5. State whether the following statements are True (T) or False (F).
(a) The numbers …, –4, –3, –2, –1, 0, 1, 2, 3, 4, … are known as whole numbers.
(b) There is no largest integer and no smallest integer.

(c) 1 is smallest positive integer and –1 is the largest negative integer.
(d) Every negative integer is less than zero.
(e) The absolute value of an integer is its negative numerical value.

(f) Every integer has a predecessor and a successor.
(g) The numbers −1, −2, −3, −4 are known as negative whole numbers.
6. How many integers are there between –9 and –2?
7. Read the clues and plot the given alphabets accordingly on the number line.

–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10
A: 4 units to the right of –8 B: 5 units to the left of 0.
C: 2 units to the right of 6 D: 7 units to the left of –2.

8. In the given number line, which integers are represented by points P, Q, R, and S.
P Q R S
–48 –28
9. Fill in the blanks by using appropriate symbol from ‘>’ or ‘<’.
(a) 2 9 (b) 0 7 (c) –9 –1 (d) 28 –12

10. Arrange the following in the ascending order:

(a) –33, 33, –39, 10, 0 (b) 15, –17, –21, –31, 8 (c) –6, 8, –7, 9, –10

285 The Other Side of Zero