Class 6 Mathematics | Lesson 6 Integers Practice Problems

CLASS 6 MATHEMATICS | Lesson 6 INTEGERS – PRACTICE QUESTIONS

1. Write the opposite of the following:

a) Decease in weight
b) Gain of Rs 500

2. Represent the following as integers with appropriate signs.

a) A deposit of Rs two thousand
b) Withdrawal of Rs two thousand

3. Write all the integers between the given pairs.

a) 0 and -6
b) -5 and 5

4. Write four negative integers greater than -15

5. Write four negative integers less than -15

6. For the following statements write True or False. If the statement is false, correct the statement.

a) -20 is greater than -21
b) Smallest negative integer is -1.

7. Use without number line:

a) (-12) + (+8)
b) (-115) + (-100)

8. Find the sum:

a) (-21) + (-12) + 7 + (-1)
b) 15 + (-5) + (-42) +9

9. Find:

a) 25 – (-20)
b) (-12) – (-21)

10. Find:

a)(-5) -7 –(-10)
b) (-7) + (-5) – (-8)

ANSWERS:

1. a) Increase in weight

b) Loss of Rs 500

2. a) + 2000

b) – 2000

3. a) -5, -4, -3, -2, -1

b) -4, -3, -2, -1, 0, 1, 2, 3, 4

4. -14, -13, -12, -11

5. -16, -17, -18, -19

6 a) True

b) False, Greatest negative integer is -1.

7. a) (-12) + (+8)

When you add one positive and one negative integer, you must subtract and give the sign of the bigger number.

Therefore, (-12) + (+8) = -4

b) (-115) + (-100)

When you add two negative integers, add the numbers and put negative sign.

(-115) + (-100) = – 215

8. a) (-21) + (-12) + 7 + (-1) = (-34) + 7 = -27

b) 15 + (-5) + (-42) +9 = 24 + (-47) = -23

9. a) 25 – (-20)

Subtraction is the addition of additive inverse.

Therefore, 25 – (-20) = 25 + (+20) = 45

b) (-12) – (-21) = (-12) + (+21) = +9

10. a) (-5)-7-(-10) = (-5) + (-7) + (+10) = (-12) + (+10) = -2

b) (-7) + (-5) – (-8) = (-7) + (-5) + (+8) = (-12) + (+8) = -4

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