The World of Integers (Class- 6, Experience- 2) - Active Math Class

NCTB Math Solution (English Version)

The World of Integers (Class- 6, Experience- 2)

[Exercise- page 34]


E.2.1. What is the positive opposite of –a? 


(a) + a 


(b) -a 


(c) 1a 


(d) -1a 


Solution:

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E.2.2. If we add the positive opposite of 12 with 12 itself then the sum becomes- 


(a) -24 


(b) -12 


(c) 0 


(d) 24


Solution:

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E.2.3. if - 15 = -10 then what is the number in ?


(a) -25 


(b) -5 


(c) 25 


(d) 5


Solution:

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[Answer the questions 4 and 5 considering the information given below: -7, -8 and -9 are three integers.]


E.2.4. If you add the positive opposite of second integer with the first integer then the sum is, 


(a) -15 


(b) -1 


(c) 1 


(d) 15


Solution:

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E.2.5. If the second integer is added with the sum of 1st and 3rd integers’ positive opposites then the result becomes A, 


(a) A < -15


(b) A > -90


(c) A > 97


(d) A < -97


Solution:

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E.2.6. if A = 45 - (-11) and B = 57 + (-4) then, 


(i) A = 56 


(ii) B = -53 


(iii) A - B = 3 


Which of the following is correct?

(a) (i) & (ii) 

(b) (i) & (iii) 

(c) (ii) & (iii) 

(d) (i), (ii) & (iii)


Solution:

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E.2.7. The marked portion in the picture has 


(i) Non-negative integer 

(ii) All prime numbers 

(iii) All even numbers 


Which of the following is correct? 

(a) i & ii 

(b) i & iii 

(c) ii & iii 

(d) i, ii & iii


Solution:

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E.2.8. Arrange the numbers 5, 7, 8, 3, 1, 2, 1, 0, 9, 3 in ascending order with the help of number lines.


Solution:

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E.2.9. Write the integers between the given numbers in ascending order: 


(a) 0 and -7 


(b) -4 and 4 


(c) 0 and 7 


(d) 30 and -23


Solution:

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E.2.10. (a) Write four negative integers greater than -20. 


(b) Write four negative integers smaller than -10. 


(c) Write four negative integers between -10 and -5.


Solution:

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E.2.11. (a) Determine the value of -8-(10). 


(b) Subtract -4 from -10. 


(c) Subtract +3 from -3.


Solution:

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E.2.12. Determine the subtraction. 


(a) 35 - 20 


(b) 72 - 90 


(c) (-20) - 13 


(d) (-15) - (-18) 


(e) (-32) - (-40) 


(f) 23 - (-12)


Solution:

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E.2.13. Use > or < or = in the blanks below. 


(a) (-3)(-3) + (-6) (-3) - (-6)


(b) (-21) - (-10) (-31) + (-11)


(c) 45 - (-11) 57 + (-4)


(d) (-25) - (-42) (-42) - (-25)


Solution:

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E.2.14. Fill up the blanks below. 


(a) (-8) + = 0


(b) 13 + = 10


(c) 12 + (-12) =


(d) (-4) + = -12


(e) - 15 = -10


Solution:

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E.2.15. Determine the value. 


(a) (-7) - 8 - (-25)


(b) (-13) + 32 -8 -1


(c) (-7) + (-8) + (-90)


(d) 50 - (-40) - (-2)


Solution:

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E.2.16. A = (-9) + 4 + (-6),  B = 7 + (-4)


(a) Determine the value of B. 


(b) Prove that A < B. 


(c) Determine (A+B) after placing the value of A and B on number line.


Solution:

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