Worksheet on use of Integers as Directed Numbers

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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