SEBA Class 6 Mathematics Chapter 5 Integers

SEBA Class 6 Mathematics Chapter 5 Integers Solutions, SEBA Class 6 Maths Notes in English Medium, SEBA Class 6 Mathematics Chapter 5 Integers Notes to each chapter is provided in the list so that you can easily browse throughout different chapter Assam Board SEBA Class 6 Mathematics Chapter 5 Integers Notes and select needs one.

SEBA Class 6 Mathematics Chapter 5 Integers

Also, you can read the SCERT book online in these sections Solutions by Expert Teachers as per SCERT (CBSE) Book guidelines. SEBA Class 6 General Mathematics Textual Question Answer. These solutions are part of SCERT All Subject Solutions. Here we have given SEBA Class 6 Mathematics Chapter 5 Integers Solutions for All Subject, You can practice these here.

Integers

Chapter – 5

Do it yourself

1. If the saving of Rs. 50 is written as + Rs. 50 then what will you write for expenditure of Rs. 40. 

Ans: If the savings of Rs. 50 is written as + Rs. 50, then for expenditure of Rs. 40 will be written as – Rs. 40.

2.  If the distance from a place towards North is represented by a positive number, then by what number shall we represent the distance from that place towards South. 

Ans: If the distance from a place towards North is represented by a positive number, then the distance from that place towards South will be a negative number.

3. Write the following in the blank boxes with appropriate signs.

(i) Profit of ₹70 ______________।

Ans: + ₹70

(ii) 50 cm above the ground. _______________।

Ans: + 50 cm

(iii) 30 cm below the ground _______________।

Ans: – 30 cm

(iv) Loss of ₹150 ______________।

Ans: – ₹150

(v) Saving of ₹30 _______________।

Ans: + ₹30

(vi) Temperature is 35°C above 0°C. _______________।

Ans: + 35° C.

(vii) Temperature is 8°C below 0°C ________________।

Ans: – 8° C.

(viii) 5 metre below the sea level. _______________।

Ans: – 5 m

(ix) 5 metre above the sea level. _______________।

Ans: + 5 m

Exercise – 5 (A)

1. The integer between- 2 and 1 is-

(a) – 4

(b) 0

(c) 2

(d) 3

Ans: (b) 0

2. The integer greater than- 6 is-

(a) – 7

(b) – 9

(c)  0

(d) – 10

Ans: (c) 0

3. Which numbers on the number line are represented by the symbol O.

Ans: – 4, – 1, – 4

4. Represent the following numbers on a number line.

(a) 7

Ans: 7

(b) – 5

Ans: – 5

(c) – 3 and 3

Ans: – 3 and 3

(d) – 5, 0, 5, -4

Ans: – 5, 0, 5, -4

5.

Observe the number line shown above and answer the following questions.

(a) If point A is +3 then which point is-3.

Ans: Point B is represent the point – 3.

(b) Write an integer for point C.

Ans: For point C, integer will be 6.

(c) Is point D a negative integer or a positive integer?

Ans: The point D is a negative integer

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

Ans: The point F marked on this number line has the least value.

(e) Arrange the numbers indicated by points in ascending order.

Ans:  

6. Put > or < symbols in the blank boxes by comparing the pairs of numbers.

(i) 0 ____________ -4

Ans: 0 > – 4

(ii) 0 _____________ 4

Ans: 0 < 4

(iii) – 3 ____________ 3

Ans:  – 3 < 3

(iv) 7 _____________ – 6

Ans: 7 > – 6

(v) – 1 _____________ -3

Ans: -1 > – 3

(vi) – 8 _____________ – 1

Ans: – 8 < – 1

(vii) 5 ______________ 8

Ans:  5 < 8

(viii) – 6 _______________ 2

Ans: – 6 < 2

7. Arrange the following integers in ascending order.

(i) – 1, 6 ,0, 3, – 3, -2, – 7, 5

Ans: -7 < -3 < -2 < -1 < 0 < 3 < 5 < 6

(ii) – 20, – 30, – 10, 0, 10, 30, 20

Ans: – 30 < – 20 < – 10 < 0 < 10 < 20 < 30

8. Write all the integers between the given pairs.

(i) 0 and 6

Ans: 1, 2, 3, 4, 5

(ii) – 6 and 6

Ans: – 5, – 4, – 3, – 3, – 1, 0, 1, 2, 3, 4, 5

9. Write the integers between -7 and 2 in an ascending order. Write the largest and the smallest number among them.

Ans: – 7 < – 6 < – 5 < – 4 < – 3 < -2 < -1 < 0 < 1 < 2

10. Write 5 negative integers greater than – 12.

Ans: – 11, – 10, – 9,- 8, – 3

11. Answer the following by using number line.

(i) Write two integers which lie just to the left of and just to the right of-3.

Ans: 4 lies just to the left of -3 and -2 just to the right of -3.

(ii)  Write the integer which is at a distance of 5 units on the right of – 2.

Ans: The integer which is five units distance on the eight of – 2 is 3.

(iii) Write two integers which are 3 units away from-3 on both the sides equally.

Ans: Two integers which are 3 units away from – 3 on both the sides equally are – 6 and 0.

Exercise 5 (B)

1. Use the number line and find the sum of the following.

(i) 8 + (-5)

Ans: 8 + (-5)

First we move to the right of 0 by 8 steps reaching at 8. Then we move 5 steps to the left of 8 reaching 3. Thus 8 + (-5) = 3.

(ii) 7 + (- 3) 

Ans: 7 + (- 3)

First we move to the right of 0 by 7 steps reaching at 7. Then we move 3 steps to the left of 7 reaching 4.

(iii) – 8 + (-7) 

Ans: – 8 – 7 

First we move to the left of 0 by – 8 steps reaching at – 8. Then we move to the 0 tp -7  steps reaching -15

Thus – 8 – 7  = – 15

Thus, 7 + (-3) = 4.

(iv) – 12 + 8

Ans: – 12 + 8

First we move to the left of 0 by 12 steps reaching at 12 Then we move 8 steps to the right of 8 reaching -4

Thus, -12 + 8 = – 4.

(v) – 2 + 5 + (– 3)

Ans: – 2 + 5 + (– 3)

On the number line, we first move 2 steps to the left of reaching (-2), then we move 5 steps to the right of -2 reaching 3. Again, we move 3 steps to the left of 3 reaching 0.

Thus, -2 + 5 + (-3) = 0

(vi) -3 + -4 + (-2)

Ans: -3 + (-4) + (-2)

On the number line, we first move 3 steps to the left of reaching -3, then we move 4 steps to the left of this point reaching -7 and at last we move 2 steps to the left of -7 reaching -9.

Thus, -3 + (-4) + (-2 = -9

2. Add the following-

(i) – 3 + 0

Ans: – 3 + 0 = -3

(ii) 3 + 0

Ans: 3 + 0 = 3

(iii) 0 + (-9)

Ans: 0 + (-9) = – 9

3. Find the sum of-

(i) 308 and -470

Ans: 308 + (-470)

= 308 – 470

= – 162

(ii) 614 and – 312

Ans: 614 + (-312)

= 614 – 312

= 302

(iii) -306, -501 and -409

Ans: – 306 + (-501) + (-409)

= – 306 – 501 – 409

= – 807 – 409

= – 1216

4. Using the number line find the following-

(i) The integer which is 5 more than -5.

Ans: 

If 5 more than -5, then the integer will be 0.

(ii) The integer which is 2 more than- 7.

Ans: 

If 2 more than – 7, then the integer will be – 5.

5. Fill in the blanks:

(i) (-8) + ______________ = 0

Ans: (- 8) + 8 = 0

(ii) -15 ______________ = 0

Ans: -15 -(-15) = 0

(iii) 15- (-15) = _______________.

Ans: 15- (-15) = 30

(iv) _____________ – (-8) = -12

Ans: -20 – (-8) = -12

6. Fill in the blanks (>, < or = sign)

(i) -9 + (-7) _____________ (-7) + (-9)

Ans: -9 + (-7) = (-7) + (-9)

(ii) -11 -9 ______________ -9 + 11

Ans: -11 -9 < -9 + 11

(iii) -35 + 20 ______________ -10 -5

Ans: -35 + 20 = -10 -5

(iv) 40 + (-30) ______________ – 20 + (-10)

Ans: 40 + (-30) > -20 + (-10)

(v) -15 – (-8) ______________ 15-8

Ans: -15 – (-8) < 15 -8

7. Subtract the following using number line.

(i) Subtract 142 from -120

Ans: – 120 – 140

= – 260

(ii) Subtract – 250 from – 150

Ans: – 250 – (-150)

= – 250 + 150

=  – 100

(iii) Subtract 4000 from -5080 

Ans: – 5080 – 4000

=  -5080  – 4000

= – 9080

(iv) Subtract 3000 from – 10000 

Ans: 10000 – (-3000)

=  – 10000 + 3000

= – 10000 + 3000

=  – 7000

9. Simplify-

(i) – 97 + (-18) – 47 + 57

Ans: – 97 + (-18) – 47 + 57

= 57 – (97 – 18 – 47)

= 57 – 162

= –  105

(ii) -26 – (-48) – 50 – (-20) -10

Ans: = – 26 + 48 – 50 + 20 – 10

= – 26 – 50 – 10 + 48 + 20

= – (26 + 50 + 10) + 68

= – 86 + 68

= – 18

(iii) 50 – 18 – (-12) + (-12)

Ans: = 50 – 18 + 12 – 12

= 50 + 12 – 18 – 12

= 62 – 30

= 32

10. Which integer is to be added to – 32 to get the sum 0?

Ans: The required integer to be added – 32 + 32 = 0

11. Sum of two integers is – 410. One of them is 180 find the other.

Ans: Sum of two integers = – 410

One of them = 180

∴ The order integer = – 410 – (180)

= – 410 – 180 = – 590

12. What number is to be subtracted from – 80 to get the difference 0?

Ans: A negative integer = – 80

And difference = 0

∴ The required integer = – 80 – 0 = – 80