Page 92 - Maths Class 06

EX AM PLE 4. Ar range the fol low ing in te gers in as cend ing or der:
–18, –7, 3, –10, 0, 5.
SOLUTION : The given in te gers in as cend ing or der are
–18 < –10 < –7 < 0 < 3 < 5.

EX AM PLE 5. Using the num ber line, write the in te ger which is 5 more than –2.
SO LU TION :

–5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8

To reach the integer that is 5 more than – 2 on the number line, we start from –2 and move
five steps towards right. We end up at 3. Thus, the required integer is 3.

Exercise 6.1

1. Give opposite of:
(a) Gaining a weight of 5 kg (b) Going east
(c) Increase in population (d) A deposit of ` 100
(e) -34 (f) A loss of ` 7

2. Indicate the follow ing by ‘+’ or ‘-’ sign:
(a) 3 km below sea level (b) A gain of ` 500 (c) A loss of ` 800
(d) Decrease of 9 (e) A deposit of ` 200 (f) 3°C above zero
3. Which number in each of the following pairs is to the right of the other on the number line?
(a) (1, 7) (b) ( ,0 - ) 3 (c) (-5 , )8 (d) (-2 , -5 )

4. Which number in each of the following is smaller?
(a) (-5 , )2 (b) (-12 , )9 (c) ( , )0 3 (d) ( ,0 - ) 2 (e) (-3 , -5 )
5. Write all integers between:
(a) 0 and 8 (b) -7 and 0 (c) -5 and 0 (d) -3 and 3

6. Replace * in each by < or > so that the statement is true:
(a) 0 * 5 (b) -5 * -2 (c) -17 * -18 (d) -100 * -98
7. Find:
(a) |- -3 2 | (b)| | |5 + - 12 | (c) |-10 | | |- 5
(d) | | |5 + - 3 | (e)| | | |5 - 0 (f) | | |7 - - 3 |

8. Which of the following statements are true?
(a) -18 is greater than -5. gg
(b) The smallest integer is zero. gg
(c) The opposite of zero is zero. gg

(d) Zero is not an integer since it is neither positive nor negative. gg

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