Properties of operations on integers Quiz - ICSE Class 7 Mathematics
Free practice quiz: Properties of operations on integers (ICSE Class 7 Mathematics). 55 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
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If a = -5 and b = 3, what is the value of a - b?
- -8
- -2
- 2
- 8
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Answer: A. -8
To find a - b, substitute the given values: -5 - 3. When subtracting integers with the same sign, you add their absolute values and keep the sign. So, |-5| + |3| = 5 + 3 = 8. Since both numbers are negative (or we are subtracting a positive from a negative), the result is negative: -8.
Calculate: (-25) ÷ 5 - (-10) × 3
- -25
- 25
- -35
- 35
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Answer: B. 25
Following the order of operations (PEMDAS/BODMAS): First, perform the division: (-25) ÷ 5 = -5. Next, perform the multiplication: (-10) × 3 = -30. Finally, perform the subtraction: -5 - (-30). Subtracting a negative is the same as adding a positive: -5 + 30. When adding integers with different signs, find the difference between their absolute values: |30| - |5| = 30 - 5 = 25. The result takes the sign of the integer with the larger absolute value, which is 30. Therefore, -5 + 30 = 25.
What is the smallest positive integer?
- 0
- 1
- -1
- None of the above
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Answer: B. 1
Positive integers are integers greater than zero. The set of positive integers is {1, 2, 3, ...}. The smallest number in this set is 1.
If a number is multiplied by 0, what is the result?
- The number itself
- The additive inverse of the number
- Zero
- Undefined
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Answer: C. Zero
Multiplying any integer by zero always results in zero. This is a fundamental property of multiplication.
Which property guarantees that the product of two integers is always an integer?
- Commutative property
- Associative property
- Closure property under multiplication
- Distributive property
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Answer: C. Closure property under multiplication
The closure property under multiplication for integers means that when you multiply any two integers, the result is always another integer. For example, -3 × 5 = -15, and both -3, 5, and -15 are integers.