Numbers that represent the direction are known as Directed Numbers. In general, we use integers to express as directed numbers in our day-to-day life. Practice the Questions in the Worksheet on Use of Integers as Directed Numbers and know various models of questions framed on the topic. Try to solve them on your own and assess your strengths and weaknesses and concentrate on them accordingly. 6th Grade Math Students will learn the Rules for Usage of Integers as Directed Numbers, Example Problems by going through this article.

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## Directed Numbers Worksheet with Answers PDF

**I. **If +40 represent a gain of Rs 40; what does each of the following represent:

(i) -14

(ii) +55

(iii) +79

(iv) -43

**Solution:**

(i) Loss of Rs 14

(ii) Gain of Rs 55

(iii) Gain of Rs 79

(iv) Loss of Rs 43

**II. **A speed of 4 m/s towards North is represented by +4; what is represented by:

(i) +10

(ii) -4

(iii) -8

(iv) +15

**Solution:**

(i) Speed of 10 m/s towards North.

(ii) Speed of 4 m/s towards South.

(iii) Speed of 8 m/s towards South.

(iv) Speed of 15 m/s towards North.

**III. **Walking 30 km towards South is denoted by -30; what is denoted by:

(i) +20

(ii) -15

(iii) -35

(iv) +45

**Solution:**

(i) Walking 20 km towards North.

(ii) Walking 15 km towards South.

(iii) Walking 35 km towards South.

(iv) Walking 45 km towards North.

**iv. **If moving of 18 m due West is given by +18; what is given by:

(i) 45

(ii) -33

(iii) 70

(iv) -20

**Solution:**

(i) Moving 45 m due West.

(ii) Moving 33 m due East.

(iii) Moving 70 m due West.

(iv) Moving 20 m due East.

**V. **If a rise in temperature by 20Â° C is represented by +20; what do each of the following represent:

(i) +30

(ii) 0

(iii) -32

(iv) -15

**Solution:**

(i) Rise in temperature by 30Â° C.

(ii) No change in temperature.

(iii) Fall in temperature by 32Â° C

(iv) Fall in temperature by 15Â° C

**VI. **15 m below the earthâ€™s surface is given by -15; state, what is given by:

(i) -5

(ii) +20

(iii) +55

(iv) -45

**Solution:**

(i) 3 m below the earthâ€™s surface

(ii) 10 m above the earthâ€™s surface

(iii) 35 m above the earthâ€™s surface

(iv) 15 m below the earthâ€™s surface

**VII. **If giving of Rs 100 is denoted by +100;

(i) Giving of Rs 50 will be denoted by __________

(ii) Taking of Rs 40 will be denoted by __________

(iii) Giving of Rs 200 will be denoted by__________

(iv) Takinf of Rs 70 will be denoted by ___________

(v) Deposit of Rs 500 will be denoted by________

(vi) Withdrawl of Rs 350 will be denoted by ________

**Solution:**

(i) +50**
**(ii) -40

(iii) +200

**(iv) -70**

(v) +500

(vi) -350

**VIII. **Ram has the money of Rs 5000 in the bank account. He withdraws Rs 2000. How much money he had in the bank account?

**Solution:**

Given,

Ram has the money in the bank account=Rs 5000

He Withdraw=Rs -2000

The money he has in the bank account=Rs 5000 -Rs 2000=Rs 3000

Therefore, the money he has in the bank account=Rs 3000.

**IX. **A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?

**Solution:**

Given,

A submarine was situated below sea level=800 feet

Submarine ascends=-250 feet

Position of Submarine=800-250=550 feet below sea level.

**X. **Manasa owes Rs 3500 to the cloth store. Each of 7 friends will help her pay off her debt. How much will each friend pay?

**Solution:**

Given,

Manasa owes money=Rs -3500

No. of friends=7

To find the money paid by each friend we divide 3500 by 7.

So the amount each friend has to pay=Rs -3500/7=Rs 500

Therefore, Each friend pays the amount of Rs -500.