Class 6 Integers Worksheet Solutions
A – Multiple Choice Questions
- Answer: d) -4
- Answer: a) positive integer
- Answer: a) 5
- Answer: a) Adding two positive integers
- Answer: c) 1/2
B – Solve the following
[a] Answer: 8
Explanation: The opposite of a number is its additive inverse, which means the number that when added to the original number gives a sum of zero. Therefore, the opposite of -8 is 8.
[b] Answer: 5 – Explanation: -4 + 2 – (-7) = -4 + 2 + 7 = 5
[c] Answer: -4 – Explanation: -2 + 4 – 6 = -4
[d] Answer: -15°C
Explanation: The change in temperature is the difference between the final and initial temperatures. Therefore, the change in temperature is 10°C – (-5°C) = 15°C. Since the temperature drops, the change in temperature is negative, so the answer is -15°C.
[e] Answer: Commutative property of addition
Explanation: The commutative property of addition states that the order in which two numbers are added does not affect their sum. For example, 3 + 5 is the same as 5 + 3.
Section C – Solve the following
[1] Answer: 8 – Explanation: 2 – (-6) = 2 + 6 = 8
[2] Answer: -24 Explanation: -3 × 8 = -24
[3] Answer: -70 meters
Explanation: If the submarine rises 50 meters from a depth of -120 meters, its new depth will be -120 + 50 = -70 meters. The negative sign indicates that the submarine is still below sea level.
[4] Answer: 3
Explanation: -5x – 3 = -18
Add 3 to both sides: -5x = -15
Divide both sides by -5: x = 3
[5] Answer: 3
Explanation: The absolute value of -9 is 9, and the absolute value of 6 is 6. Therefore, the difference between their absolute values is 9 – 6 = 3.
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