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(ii) We want to know an integer 4 more than -1. So, we start from -1 and proceed 4 steps to the right to
obtain 3, as shown below:
PRACTICE EXERCISE 4.1

-5 -4 -3 -2 -1 0 1 2 3 4 5 1. Write the opposites of the following.
Hence, 4 more than -1 is 3. a. + 234 b. increase in marks c. 70 km to the right
(iii) We want to know an integer 5 less than 3. So, we start from 3 and go to the left by 5 d. 10°C below 0°C e. 5 years hence
steps to obtain -2, as shown below:
2. Use + or - sign to represent the following.
-5 -4 -3 -2 -1 0 1 2 3 4 5 a. ₹500 profit b. 20 years ago c. 1 0 steps into the basement
d. 600 m above sea level e.5 kg decrease in weight
Hence, 5 less than 3 is -2.
(iv) We want to know an integer 2 less than -3. So, we start from -3 and go to the left by 2 3. Write the opposites of the following.
steps to obtain -5, as shown below: a. -10 b. +200 c. +120 d. -21 e.0
-6 -5 -4 -3 -2 -1 0
4. Find the values of the following.
Hence, 2 less than -3 is -5. a. -10 26 - |6| C. | 12 - 10 | d. |9 + 11 | e. - |-100|
EXAMPIE:5 Fill in the blanks by the appropriate symbol ‘>·or·<’ in each of the following cases:
(i) 0 ...... 3 (ii) -4 ...... 0 (iii) -9 ...... - 15 5. Mark the following integers on the number line.
(iv) -37 ...... 17 (v) -10 ...... 10 (vi) -163 ...... -236 a. -10 b. 12 c. -4 d. 0 e. 8
SOLUTION (i) We know that on the number line, 0 is to the left of 3. So, 0 < 3.
(ii) Since zero is greater than every negative integer, so -4 < 0. 6. Replace in each of the following by > or < so that the statement is correct.
(iii) Since 9 < 15, we have -9 > -15. a. 0 15 b. -10 -15 c. -20 -15 d. 15 20 e. 15 - 20
(iv) Since every positive integer is greater than every negative integer, we have -37 < 17.
(v) Every positive integer being greater than every negative integer, we have-10 < 10. 7. Write all the integers that fall between each of the two sets of numbers given here.
(vi) Since 163 < 236, we have -163 > - 236. a. -3 and 2 b. 0 and 5 c. -4 and 4 d. -7 and -4 e. -1 and 1

ABSOLUTE VALUE OF AN INTEGER The absolute value of an integer is the numerical value of 8. Arrange the integers in ascending order.
the integer regardless of tts sign. a. -4, -7, 2, 0, -3
The absolute value of -2, written as |- 2|, is 2. b. 3, 9, -2, -4, 1
The absolute value of -5, written as |- 5|, is 5. c. -7, -17, -27, 7, 17
The absolute value of 5, written as |5|, is 5. d. 6, -7, 8, -9, 10
The absolute value of 0, written as |0|, is 0. e. -11, 24, -29, -101, 50
Thus, we conclude that the absolute value of an integer is 0 in case of 0, and positive otherwise.
9. Arrange the integers in descending order.

Just try:1 a. -8, 11, 14, 0, -7 b. 15, -12, -6, -5, 8 c. 6, -4, 0, -3, 1
Indicate each of the conditions mentioned below by using integers. d. 7, -8, 8, 3, -9 e. -200, -150, 10, 20, -50
a. 13° above zero
b. A deposit of ₹350 nso in the bank 10. Where will we reach on the number line if we move:
c. A withdrawal of ₹250 from the bank. (a) 5 numbers to the right of I.
d. Lose by 10 runs (b) 5 numbers to the left of 0.
e. 5% increase in marks (c) 5 numbers to the left of -1.
(d) 5 numbers to the right of 3.
1. + 1 is the smallest positive integer (e) 5 numbers to the left of -4.
2. -1 is the largest negative integer
3. 0 is less than every positive integer
4. 0 is greater than every negative integer