Exercise No. 2A

NOTE: Answers to all questions are given at the end of this exercise.

Question No. 1:

Copy and complete the following:

(i) An ascent of -20 m means a descent of           m.

(ii) A clockwise rotation of -90° means an anticlockwise rotation of          .

(iii) Walking 9 km from East to West means walking           km from West to East.

 

Question No. 2:

Copy and complete the following:

(a) If -6 represents 6 m below sea level, then +30 represents          .

(b) If +40 represent depositing $40 in the bank, then a withdrawal of $35 is          .

(c) If +60° represents rotating 60° clockwise, then -30° represents          .

(d) If +45 represents a speed of 45 km/h of a car moving to the East, then -45 represents          .

 

Question No. 3:

Suppose time is measured in years and zero stands for the year 2000.

(a) What number stands for the year 1999?

(b) What number stands for the year 2002?

(c) What number stands for the year 1996?

 

Question No. 4:

Put the correct sign, < or >, between each pairs of temperatures below.

(a) -4°, 4°                                        (b) 8°, -2°

(c) -13°, -5°                                     (d) -1°, 5°

(e) -3°, -4°                                       (f) -20°, -19°

 

Question No. 5:

Translate each of the following equation into a mathematical statement using either < or a > sign:

(a) A temperature of -5° is colder than a temperature of 12°.

(b) A gain of $200 is better than a loss of $120.

(c) A depth of a 40 m below sea level is lower than a depth of 25 m below sea level.

 

Question No. 6:

Arrange the numbers in each group in ascending order.

(a) -2, -6, 0, -60, -90

(b) … , -1500, 2, -1

 

Question No. 7:

Use a number line to illustrate each of the following:

(a) -5, -2, 0, 5, -3

(b) …. , -10, -8, -6, -4

(c) The set of integers greater than -4 and less than 2

(d) The set of integers between -2 and +6

 

Question No. 8:

Fill in the boxes with > or < :

(a) +8 □ -8                                     (b) -11 □ -6

(c) 0 □ -2                                       (d) (-12)² □ -200

(e) -√64 □ ³√125                           (f) ³√-27 □ -√16


Answers

(from left to right)

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