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\\November 3, 2023 11:23 AM Surender Prajapati Proof 2 Reader _________________________ Date: ___________________74

5 > 1, since 5 is right of 1; 6 > 3, since 6 is right of 3.

1 > 0, since 1 is right of 0; 0 > –1, since 0 is right of –1.
–1 > –3, since –1 is right of –3; –6 > –7, since –6 is right of –7.

Example 1: Write the following integers 10, –7, –3, 9, –1, 0, –2, 8 from
(a) the smallest to the largest. (b) the largest to the smallest.

Solution: Given integers are: 10, –7, –3, 9, –1, 0, –2, 8

Represent the given integers on a number line as,

Left side –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 Right side

(a) For smallest to largest, we check the integers from left to right, thus

–7 < –3 < –2 < –1 < 0 < 8 < 9 < 10

These are in ascending order.
Note
(b) For largest to smallest, we check the integers Negative number nearest to the
from right to left, thus 0 on number line will be greater

10 > 9 > 8 > 0 > –1 > –2 > –3 > –7

These are in descending order.

Example 2: Use the appropriate symbol < or > fill in the blank.
(a) –7 ____ 9 (b) –3 ____ 0

(c) 1 ____ –8 (d) –6 ____ –3 Think and Answer

Solution: (a) –7 < 9 (b) –3 < 0 Is –5 –( –7) an integer?

(c) 1 > –8 (d) –6 < –3

Practice Time 6A

1. Choose the correct option.

(a) The opposite of going north is __________.
(i) going south (ii) going east (iii) going north (iv) going west

(b) Flying 3500 km above the sea level, is ___________.

(i) +3500 km (ii) –3500 km (iii) +350 (iv) –350
2. Express the following situation as positive or negative numbers:

th
(a) Going 10 floors above the ground. (b) Moving 50 m above the sea level.
(c) Withdrawing `6500 from a bank. (d) Going 2 floors below the ground.

(e) Flying 3500 km above the sea level.

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