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Example 1: Write opposites of the following situations:
(a) Increase in weight (b) Loss of `500 (c) 50 km south

(d) win a cricket match (e) 15 °C above the freezing point
Solution: (a) Increase in weight — Decrease in weight

(b) Loss of `500 — Profit of `500
(c) 50 km south — 50 km north

(d) Win a cricket match — lose a cricket match
(e) 15°C above the freezing point — 15°C below the freezing point
Example 2: Represent the following statements mathematically.

(a) 50 m above the sea level (b) deposited `750 in the bank

(c) loss of `4000 in business (d) 45°C below the freezing point (0°C)
Solution: (a) +50 m (b) +`750 (c) –`4000 (d) –45°C

Example 3: Following is the list of temperatures of five places in India on a particular day
of the year.

Place Temperature
Manali 14°C below 0°C _____________
Mumbai 27°C above 0°C _____________
Delhi 45°C above 0°C _____________
Siachen 52°C below 0°C _____________
(a) Which places temperatures are below 20°C?

(b) Write the temperatures of each place in the form of integers.

(c) Which is the warmest place?
Solution: (a) Manali and Siachen

(b) Place Temperature
Manali 14°C below 0°C –14°C
Mumbai 27°C above 0°C +27°C
Delhi 45°C above 0°C +45°C

Siachen 52°C below 0°C –52°C
(c) Delhi

COMPARISON OF INTEGERS

We can compare different integers by looking at their positions on the number line.

For any two different places on the number line, the integer on the right is greater than
the integer on the left.

Decreasing order Increasing order
Left side Right side
–7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7

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