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Integers CBSE Class 6

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Question 1/20

Q 1. 5 - (−12) = 

Solution

5 - (−12) = 5 + 12 = 17 

Q 2. If a person is at position −6 and he will reach position 2 on a number line, then what will be the distance covered by him? 

Solution

Distance travelled by a person = 2 - (-6) = 2 + 6 = 8 units. 

Q 3. Find 15 + (−37) - (−40). 

Solution

15 + (−37) - (−40)

= 15 - 37 + 40

= 15 + 40 - 37

= 55 - 37

= 18 

Q 4. Natural numbers do not include 

Solution

Natural numbers do not include negative numbers and zero. 

Q 5. The number system comprising natural numbers, their negatives and 0 is called the system of 

Solution

The number system comprising natural numbers, their negatives and 0 is called the system of integers. 

Q 6. Points representing ___ are marked at equal distance from zero. 

Solution

Points representing integers are marked at equal distance from zero. 

Q 7. Write the proper sign at the place of #. 63 - 36 - 45 # 96 - 69 + 54 

Solution

63 - 36 + 45 = 72 and 96 - 69 + 54 = 81

Here, 72 < 81. 

Q 8. The income of a typist is Rs. 10 per page, but Re. 1 is deducted for each mistake. If the typist has made 2 mistakes on one page, then the income of the typist will be 

Solution

Income of a typist for one page = Rs. 10

For each mistake, Re. 1 is deducted.

Hence, for 2 mistakes, Rs. 2 will be deducted.

Income of the typist for one page = 10 - 2 × 1 = Rs. 8. 

Q 9. The predecessor of −15 is 

Solution

The predecessor of −15 is −16. 

Q 10. Which of the following statements is incorrect? 

Solution

Addition of one positive and negative number may or may not be negative.

For example, if we take the two numbers 5 and −2, 5 + (−2) = 5 - 2 = 3.

Here, addition of one positive and negative number is positive. In this case, the sign depends on the bigger number. 

Q 11. Renuka deposited an amount of Rs. 6000 in her bank account, and she withdrew an amount of Rs. 2000 for her expenses. Find the balance in Renuka’s account. 

Solution

Here, the withdrawal of the amount from the account is represented by a negative integer.

Hence, Rs. 6000 - Rs. 2000 = Rs. 4000.

Renuka’s balance in the bank account is Rs. 4000. 

Q 12. The set of integers is denoted by the letter 

Solution

The set of integers is denoted by the letter I. 

Q 13. 6 + (− 10) = 

Solution

6 + (−10) = 6 - 10 = −4 

Q 14. Find the value of [60 - additive inverse of (−50)]? 

Solution

[60 - additive inverse of (−50)] = 60 - 50 = 10. 

Q 15. Which of the following is correct? 

Solution

Integers include natural numbers and whole numbers. 

Q 16. Negative integers are _____ positive integers. 

Solution

Negative integers are opposite of positive integers. 

Q 17. What is the additive inverse of −12? 

Solution

The additive inverse of −12 is 12. 

Q 18. Write the difference between the largest and smallest numbers from the following numbers: −9, 9, 6, −6 

Solution

Largest number is 9.

Smallest number is −9.

Difference = 9 - (−9)

= 9 + 9

= 18 

Q 19. Which of the following numbers is greater than −15? 

Solution

−14, −7 and −3 are on the right side of the number −15. 

Q 20. Addition of a number and its ____ is always zero. 

Solution

Addition of a number and its additive inverse is always zero. 

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