CH 2

Negative Numbers and the Number Line

Write a positive or negative number to represent each situation.

1. 400oC above zero.

2. A loss of 20 yards.

Draw a number line to represent each set of numbers.

3. A horizontal number line to represent even numbers from -8 to 2.

4. A vertical number line to represent the opposites of the whole numbers from 25 to 30.

Complete each inequality using > or <.

5. -3 ___ 3 6. -16 ____ -27

7. l21l ___ l- 74l 8. l -121l ____ l- 300l

Write and inequality for each statement using > or <.

9. A loss of 20 yards is less than a loss of 40 yards.

10. The elevation of a deep gorge which is -1,267 feet, is less than the elevation of a low sea which is -115 feet.

Solve. Show your work.

11. The table shows the daily low temperatures recorded in four cities on the same day.

a) Which city had the lowest temperature?

b) Order the cities from the least to the greatest temperature.

12. The table shows the elevation of two lakes.

Lake

Blue Lake

Grey Lake

Elevation

-149 ft

-74 ft

a) Which lake is at a lower elevation?

b) What is the difference in elevation of the two lakes?

13. The table shows the temperature of three regions at midnight.

a) Which region A or C, is warmer than region B?

b) Write an inequality using > to compare temperatures of two of the regions.

c) Write an inequality using < to compare temperatures of two of the regions.

d) Calculate the difference in temperature between regions B and C.

14. John's bank account statement is shown below.

a) Determine the account balance on January 26th and January 30th.

b) Was John's account ever overdrawn?

If 'yes', on which day did it happen?

c) How much were the net withdrawals for the month of January?

ANSWER KEY:

1. +400oC

2. -20 yd.

3.

4.

5. -3 <3 6. -16>-27

7. 21< 74 8. 121<300

9. l-20l <l-40l 10. -115 > -1,267

11. a) Toledo b) Toledo, Bismarck, Albany, Dallas

12. a) Blue Lake b) -75o

13. a) Region A b) 14o > -3o c) -3o < 27o d) 14 + l-3l = 17 degree difference.

14. a) $497 -543 + 497 = -$46 b) Yes, on Jan 30th. c) 836 - 690= $146 net withdrawal.