Page 26 - Revised Maths Wisdom Class - 6

24 MATHS

Example 5: Find the value of:
(a) |–5| (b) |1| (c) |–17| (d) |3|
Solution: (a) |–5| = 5 (b) |1| = 1 (c) |–17| = 17 (d) |3| = 3

Example 6: What numbers are represented by the letters P, Q, R and S on the number line given below.
P R S Q

–11 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 11
Solution: P represents –10, Q represents 6, R represents –7, S represents 0

Example 7: Arrange the integers in ascending order:
(a) –18, 0, –9, 4, 16 (b) –200, 3, 0, –50, –201
Solution: (a) –18 < –9 < 0 < 4 < 16 (b) –201 < –200 < –50 < 0 < 3

Example 8: In the given figure, if O represents 0 (zero), answer the following questions:

A C D O Q R P
0

(a) Write the opposite of P (b) Write integers from C to R
(c) What does D represent? (d) Is Q greater than C?
Solution: (a) The opposite of P is A as P represents 8 and A represents –8.

(b) The integers from C to R are –5, – 4, –3, –2, –1, 0, 1, 2, 3, 4, 5 and 6.
(c) D represents –2 (d) Yes Q > C as 4 > –5

Exercise 2A
Exercise 2A
1. Write the opposite of the following:
(a) 18 (b) –3 (c) – 6 (d) 200
2. Write the opposite of the following statements:

(a) 90 m below sea level (b) A withdrawal of ` 5500 from bank
(c) A rise in temperature by 7°C (d) Earning ` 1500
(e) Moving 8 km to the North

3. List all integers between –9 and 5. Also, write the greatest and the smallest integers.
4. Using the number line, find the integer which is:
(a) 6 more than –3 (b) 8 numbers left of –1 (c) 4 less than –5 (d) 5 numbers right of –3

5. Find the value of:
(a) | –13 | (b) | 0 | (c) | 8 | (d) | –101 |
6. Arrange the following integers in descending order:
(a) –20, 15, 10, –3, 7, 1, –2 (b) –209, 0, –208, 3, –206, 4

7. Arrange the following integers in ascending order:
(a) 7, –3, –4, 0, 4, –11 (b) –100, 9, –90, 10, –900, 1000
8. Write four negative integers greater than –10.