QUESTION BANK CLASS 6 INTEGERS

 QUESTION BANK  CLASS 6 INTEGERS

• Fill in the Blanks: (13) +  ____ = 0.

         a) 1              b) 13                  c) (-13)              d) 0

• Represent the deposit of rupees two hundred as integers with appropriate signs.

        a) 100              b) (-200)                 c) (-100)              d) 200

• Fill in the Blanks: (-8) +  ____ = 0.

         a) 1              b) 8                  c) (-8)              d) 0

• Using the number line write the integer which is 5 more than (-5).(3M)
• Add without using number line:  (a) (-10) + 19  (b) (–250) + (+150)(3M)
• Find: (a) (–7) +(– 8)+ (- 90)  (b) 50 – (– 40) – (–2)  (4M)
• Write all the integers between the given pairs 0 and (-7).
• Using the number line write the integer which is 3 more than 5.(3M)

Add without using number line: (a) 11 + (–7)  (b) (–13) + (+18) (3M)

Find: (a) (–7) – 8 – (–25)  (b)(–13) + 32 – 8 – 1

EXERCISE 6.1 

1. Write opposites of the following : 

(a) Increase in weight 

(b) 30 km north 

(c) 80 m east 

(d) Loss of Rs 700 

(e) 100 m above sea level

2. Represent the following numbers as integers with appropriate signs. 

(a) An aeroplane is flying at a height two thousand metre above the ground. 

(b) A submarine is moving at a depth, eight hundred metre below the sea level. 

(c) A deposit of rupees two hundred. 

(d) Withdrawal of rupees seven hundred. 

3. Represent the following numbers on a number line : 

(a) + 5 (b) – 10 (c) + 8 (d) – 1 (e) – 6 

4. Adjacent figure is a vertical number line, representing integers. 

Observe it and locate the following points : 

(a) If point D is + 8, then which point is – 8?

(b) Is point G a negative integer or a positive integer? 

(c) Write integers for points B and E. 

(d) Which point marked on this number line has the least value? 

(e) Arrange all the points in decreasing order of value. 

5. Following is the list of temperatures of five places in India on a particular day of the year. 

Place Temperature 

Siachin 10°C below 0°C ................. 

Shimla 2°C below 0°C .................

 Ahmedabad 30°C above 0°C ................. 

Delhi 20°C above 0°C ................. 

Srinagar 5°C below 0°C ................. 

(a) Write the temperatures of these places in the form of integers in the blank column.
(b) Following is the number line representing the temperature in degree Celsius. 

Plot the name of the city against its temperature. 

(c) Which is the coolest place? 

(d) Write the names of the places where temperatures are above 10°C.
6. In each of the following pairs, which number is to the right of the other on the number line? 

(a) 2, 9 (b) – 3, – 8 (c) 0, – 1 (d) – 11, 10 (e) – 6, 6 (f) 1, – 100 

7. Write all the integers between the given pairs (write them in the increasing order.) 

(a) 0 and – 7 

(b) – 4 and 4 

(c) – 8 and – 15 

(d) – 30 and – 23 

8. (a) Write four negative integers greater than – 20. 

(b) Write four integers less than – 10. 

9. For the following statements, write True (T) or False (F).

If the statement is false, correct the statement. 

(a) – 8 is to the right of – 10 on a number line.
(b) – 100 is to the right of – 50 on a number line. 

(c) Smallest negative integer is – 1. 

(d) – 26 is greater than – 25.

10. Draw a number line and answer the following : 

(a) Which number will we reach if we move 4 numbers to the right of – 2. 

(b) Which number will we reach if we move 5 numbers to the left of 1. 

(c) If we are at – 8 on the number line, in which direction should we move to reach – 13? 

(d) If we are at – 6 on the number line, in which direction should we move to reach – 1?

EXERCISE 6.2 

1. Using the number line write the integer which is : 

(a) 3 more than 5 

(b) 5 more than –5 

(c) 6 less than 2 

(d) 3 less than –2 

2. Use number line and add the following integers : 

(a) 9 + (– 6) 

(b) 5 + (– 11) 

(c) (– 1) + (– 7) 

(d) (– 5) + 10 

(e) (– 1) + (– 2) + (– 3)

(f) (– 2) + 8 + (– 4) 

3. Add without using number line : 

(a) 11 + (– 7) 

(b) (– 13) + (+ 18) 

(c) (– 10) + (+ 19) 

(d) (– 250) + (+ 150) 

(e) (– 380) + (– 270) 

(f) (– 217) + (– 100) 

4. Find the sum of : 

(a) 137 and – 354 

(b) – 52 and 52 

(c) – 312, 39 and 192 

(d) – 50, – 200 and 300 

5. Find the sum : 

(a) (– 7) + (– 9) + 4 + 16 

(b) (37) + (– 2) + (– 65) + (– 8) 

EXERCISE 6.3 

1. Find 

(a) 35 – (20) 

(b) 72 – (90) 

(c) (– 15) – (– 18) 

(d) (–20) – (13) 

(e) 23 – (– 12) 

(f) (–32) – (– 40) 

2. Fill in the blanks with >, < or = sign. 

(a) (– 3) + (– 6) ______ (– 3) – (– 6) 

(b) (– 21) – (– 10) _____ (– 31) + (– 11)
(c) 45 – (– 11) ______ 57 + (– 4) 

(d) (– 25) – (– 42) _____ (– 42) – (– 25) 

3. Fill in the blanks. 

(a) (– 8) + _____ = 0 

(b) 13 + _____ = 0 

(c) 12 + (– 12) = ____ 

(d) (– 4) + ____ = – 12 

(e) ____ – 15 = – 10 

4. Find 

(a) (– 7) – 8 – (– 25) 

(b) (– 13) + 32 – 8 – 1 

(c) (– 7) + (– 8) + (– 90) 

(d) 50 – (– 40) – (– 2) 

POINTS TO REMEMBER

1. We have seen that there are times when we need to use numbers with a negative sign. 

This is when we want to go below zero on the number line. 

These are called negative numbers. 

Some examples of their use can be in temperature scale, water level in lake or river, level of oil in tank etc. 

They are also used to denote debit account or outstanding dues.

2. The collection of numbers..., – 4, – 3, – 2, – 1, 0, 1, 2, 3, 4, ... is called integers.

So, – 1, – 2, – 3, – 4, ... called negative numbers are negative integers and

1, 2, 3, 4, ... called positive numbers are the positive integers. 

3. We have also seen how one more than given number gives a successor and one less than given number gives predecessor. 

4. We observe that 

(a) When we have the same sign, add and put the same sign. 

(i) When two positive integers are added, we get a positive integer [e.g. (+ 3) + ( + 2) = + 5]. 

(ii) When two negative integers are added, we get a negative integer [e.g. (–2) + ( – 1) = – 3]. 

(b) When one positive and one negative integers are added we subtract them as whole numbers by considering the numbers without their sign and then put the sign of the bigger number with the subtraction obtained. 

The bigger integer is decided by ignoring the signs of the integers

 [e.g. (+4) + (–3) = + 1 and (–4) + ( + 3) = – 1]. 

(c) The subtraction of an integer is the same as the addition of its additive inverse. 

5. We have shown how addition and subtraction of integers can also be shown on a number line.