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