Practice the questions given in the worksheet on use of integers as directed numbers. We know, when numbers represent direction, the numbers are called directed numbers.
1. If +100 represent a gain of $ 100; what does each of the following represent:
(i) -18
(ii) +25
(iii) +39
(iv) -52
2. If a rise in temperature by 30° C is represented by +30; what does each of the following represent:
(i) +50
(ii) 0
(iii) -42
(iv) -29
3. If moving of 16
m due West is given by +16; what is given by:
(i) 72
(ii) -13
(iii) 50
(iv) -27
4. A speed of 3 m/s towards North is represented by +3; what is represented by:
(i) +7
(ii) -5
(iii) -9
(iv) +12
5. Walking 50 km towards South is denoted by -50; what is denoted by:
(i) +10
(ii) -25
(iii) -60
(iv) +35
6. 25 m below the earth’s surface is given by -25; state, what is given by:
(i) -3
(ii) +10
(iii) +35
(iv) -15
7. If giving of $ 200 is denoted by +200;
(i) Giving of $ 31 will be denoted by __________
(ii) Taking of $ 81 will be denoted by __________
8. A person walks 80 m due North and then 63 m due South. Find his position with respect to his starting point.
9. The temperature of a body first rises by 20° C and then falls by 27° C. Find the final temperature of the body, if it’s initial temperature is;
(i) -42° C
(ii) 0° C
(iii) 33° C
10. The temperature of a body first falls by 19° C and then rises by 38° C. Find the final temperature of the body, if it’s initial temperature was;
(i) -65° C
(ii) - 19° C
(iii) 7° C
Answers for the worksheet on use of integers as directed numbers are given below to check the exact answers of the above problems on integers.
Answers:
1. (i) Loss of $ 18
(ii) Gain of $ 25
(iii) gain of $ 39
(iv) Loss is $ 52
2. (i) Rise in temperature by 50° C.
(ii) No change in temperature.
(iii) Fall in temperature by 42° C
(iv) Fall in temperature by 29° C
3. (i) Moving 72 m due West.
(ii) Moving 13 m due East.
(iii) Moving 50 m due West.
(iv) Moving 27 m due East.
4. (i) Speed of 7 m/s towards North.
(ii) Speed of 5 m/s towards South.
(iii) Speed of 9 m/s towards South.
(iv) Speed of 12 m/s towards North.
5. (i) Walking 10 km towards North.
(ii) Walking 25 km towards South.
(iii) Walking 60 km towards South.
(iv) Walking 35 km towards North.
6. (i) 3 m below the earth’s surface
(ii) 10 m above the earth’s surface
(iii) 35 m above the earth’s surface
(iv) 15 m below the earth’s surface
7. (i) +31
(ii) -81
8. 17 m due North
9. (i) -49° C
(ii) -7° C
(iii) 26° C
10. (i) -46° C
(ii) 0° C
(iii) 26° C
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