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Integers CBSE Class 6

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Question 1/20

Q 1. 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 2. Shivangi had Rs. 50 with her at the starting of the day. She purchased rice for Rs. 15 and some vegetables for Rs. 25. What will be the amount she will have at the end of the day? 

Solution

Shivangi had Rs. 50 at the start of the day.

Shivangi’s expenses = Rs. 15 + Rs. 25 = Rs. 40 At the end of the day, Shivangi will have 50 - 40 = Rs. 10. 

Q 3. Addition of a number and its ____ is always zero. 

Solution

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

Q 4. Negative integers are _____ positive integers. 

Solution

Negative integers are opposite of positive integers. 

Q 5. Points representing ___ are marked at equal distance from zero. 

Solution

Points representing integers are marked at equal distance from zero. 

Q 6. 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 7. The predecessor of −15 is 

Solution

The predecessor of −15 is −16. 

Q 8. The income of a typist is Rs. 10 per page. Re. 1 is deducted for each mistake. If 2 mistakes are found in each page of 100, then what will the income of the typist? 

Solution

Total number of pages = 100

For 2 mistakes per page,

Total number of mistakes = 2 × 100 = 200

Total income = 10 × 100 - 1 × 200 = Rs. 800 

Q 9. Which of the following is correct? 

Solution

Integers include natural numbers and whole numbers. 

Q 10. 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 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. 5 - (−12) = 

Solution

5 - (−12) = 5 + 12 = 17 

Q 13. The successor of −12 is 

Solution

The successor of −12 is −11. 

Q 14. Natural numbers do not include 

Solution

Natural numbers do not include negative numbers and zero. 

Q 15. The set of integers is denoted by the letter 

Solution

The set of integers is denoted by the letter I. 

Q 16. Find 15 + (−37) - (−40). 

Solution

15 + (−37) - (−40)

= 15 - 37 + 40

= 15 + 40 - 37

= 55 - 37

= 18 

Q 17. Which of the following number is greater than −9? 

Solution

−8 is the right side of −9. 

Q 18. Negative numbers are ____ positive numbers. 

Solution

Negative numbers are smaller than positive numbers. 

Q 19. 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 20. Integers consist of 

Solution

Integers consist of natural numbers, their negatives and zero. 

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Integers Notes

Revision Notes

Read CBSE Class 6 Mathematics revision notes for Integers

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