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Q1. What is the value of (-8) + (-5)?
a) 13
b) -13
c) 3
d) -3
Q2. Which of the following is the additive inverse of -7?
a) -7
b) 0
c) 7
d) 1/7
Q3. What is the value of (-4) x (-6)?
a) -24
b) 24
c) -10
d) 10
Q4. On a number line, which integer lies to the left of -3?
a) -2
b) 0
c) -5
d) 1
Q5. What is the value of (-36) divided by 9?
a) 4
b) -4
c) 27
d) -27
Q6. The product of a negative integer and a positive integer is always ________.
Q7. (-15) + 15 = ________.
Q8. The integer 0 is neither positive nor ________.
Q9. (-3) x (-4) x (-2) = ________.
Q10. The value of (-48) divided by (-6) is ________.
Q11. A submarine is at a depth of 350 metres below sea level. It rises 120 metres upward. What is the new position of the submarine?
Q12. Find the value of: (-5) x 3 + (-2) x (-4).
Q13. Write any three negative integers greater than -10.
Q14. Verify that (-12) x [3 + (-5)] = [(-12) x 3] + [(-12) x (-5)].
Q15. The temperature in Shimla on Monday was -4 degree Celsius. On Tuesday it dropped by 3 degrees. What was the temperature on Tuesday?
Q1. b) -13
Explanation: (-8) + (-5) = -13
Q2. c) 7
Explanation: Additive inverse of -7 is 7 because (-7) + 7 = 0
Q3. b) 24
Explanation: Negative x Negative = Positive, so (-4) x (-6) = 24
Q4. c) -5
Explanation: On a number line, numbers decrease as we move left, so -5 lies to the left of -3
Q5. b) -4
Explanation: (-36) divided by 9 = -4, since a negative number divided by a positive number gives a negative result
Q6. Negative
Q7. 0
Q8. Negative
Q9. -24
Explanation: (-3) x (-4) = 12, then 12 x (-2) = -24
Q10. 8
Explanation: (-48) divided by (-6) = 8, since a negative number divided by a negative number gives a positive result
Q11. Position of submarine = -350 + 120 = -230 metres
The new position of the submarine is 230 metres below sea level.
Q12. (-5) x 3 = -15
(-2) x (-4) = 8
(-15) + 8 = -7
The value is -7.
Q13. Three negative integers greater than -10 are: -9, -7, -5
Any three integers from -9 to -1 are acceptable answers.
Q14. Left Hand Side: (-12) x [3 + (-5)] = (-12) x (-2) = 24
Right Hand Side: [(-12) x 3] + [(-12) x (-5)] = (-36) + (60) = 24
Since LHS = RHS = 24, the distributive property is verified.
Q15. Temperature on Monday = -4 degree Celsius
Temperature dropped by 3 degrees means we subtract 3.
Temperature on Tuesday = (-4) + (-3) = -7 degree Celsius
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