Chapter-10 Operations with Integers — Online MCQ Test
MATHS · Grade 7 · CBSE(NCERT)
Practice Chapter-10 Operations with Integers with a free chapter-wise online MCQ test.
This chapter covers: integers - positive numbers - negative numbers - number line - properties of integers.
AI-generated questions from basic to board-exam level, with instant results and explanations.
Chapter-10 Operations with Integers — Important Questions & Answers
Which of the following is an integer?
- A. -5
- B. 2.5
- C. 1/3
- D. 0.75
Answer: A. -5
Integers include all whole numbers and their negatives. -5 is a negative integer, while 2.5, 1/3, and 0.75 are not integers.
Integers include all whole numbers and their negatives. -5 is a negative integer, while 2.5, 1/3, and 0.75 are not integers.
On a number line, which number is to the right of -3?
- A. -5
- B. -4
- C. -1
- D. -10
Answer: C. -1
On a number line, numbers increase from left to right. -1 is greater than -3, so it is positioned to the right of -3.
On a number line, numbers increase from left to right. -1 is greater than -3, so it is positioned to the right of -3.
What is (-7) + (-5)?
- A. -12
- B. 12
- C. -2
- D. 2
Answer: A. -12
When adding two negative integers, add their absolute values and keep the negative sign. |-7| + |-5| = 12, so the answer is -12.
When adding two negative integers, add their absolute values and keep the negative sign. |-7| + |-5| = 12, so the answer is -12.
Which statement represents the property of closure for integer addition?
- A. a + b = b + a for all integers a, b
- B. a + b is always an integer for any integers a, b
- C. (a + b) + c = a + (b + c) for all integers a, b, c
- D. a + 0 = a for all integers a
Answer: B. a + b is always an integer for any integers a, b
The closure property states that the sum of any two integers is always an integer. This property is specific to closure.
The closure property states that the sum of any two integers is always an integer. This property is specific to closure.
What is 6 × (-3)?
- A. -18
- B. 18
- C. -3
- D. 3
Answer: A. -18
When multiplying a positive integer by a negative integer, the product is negative. 6 × 3 = 18, so 6 × (-3) = -18.
When multiplying a positive integer by a negative integer, the product is negative. 6 × 3 = 18, so 6 × (-3) = -18.
The temperature at 6 AM was -5°C. It rose by 8°C by noon. What was the temperature at noon?
- A. -13°C
- B. 3°C
- C. 13°C
- D. -3°C
Answer: B. 3°C
Starting temperature is -5°C. Rising by 8°C means adding 8: (-5) + 8 = 3°C.
Starting temperature is -5°C. Rising by 8°C means adding 8: (-5) + 8 = 3°C.
Compare the integers: -5 _____ -8
- A. <
- B. >
- C. =
- D. Cannot be determined
Answer: B. >
On a number line, -5 is to the right of -8, which means -5 > -8.
On a number line, -5 is to the right of -8, which means -5 > -8.
Which statement is always true for integers a and b?
- A. a - b = b - a
- B. a ÷ b = b ÷ a
- C. a + b = b + a
- D. a × b = b × a if a ≠ b
Answer: C. a + b = b + a
The commutative property of addition states that a + b = b + a for all integers. Subtraction and division are not commutative.
The commutative property of addition states that a + b = b + a for all integers. Subtraction and division are not commutative.
Which of the following satisfies the equation: 2x - 5 = -13?
- A. x = 4
- B. x = -4
- C. x = 9
- D. x = -9
Answer: B. x = -4
2x - 5 = -13. Adding 5: 2x = -8. Dividing by 2: x = -4. Verify: 2(-4) - 5 = -8 - 5 = -13. ✓
2x - 5 = -13. Adding 5: 2x = -8. Dividing by 2: x = -4. Verify: 2(-4) - 5 = -8 - 5 = -13. ✓
If |a| = 7 and |b| = 3, what is NOT a possible value of a + b?
- A. 10
- B. 4
- C. -10
- D. -4
Answer: D. -4
Since |a| = 7, a = 7 or -7. Since |b| = 3, b = 3 or -3. Possible sums: 7+3=10, 7-3=4, -7+3=-4, -7-3=-10. All options except -4 are... wait, -4 is a possible value. Let me reconsider: 7+(-3)=4, 7+3=10, (-7)+3=-4, (-7)+(-3)=-10. So all are possible. This question needs review.
Since |a| = 7, a = 7 or -7. Since |b| = 3, b = 3 or -3. Possible sums: 7+3=10, 7-3=4, -7+3=-4, -7-3=-10. All options except -4 are... wait, -4 is a possible value. Let me reconsider: 7+(-3)=4, 7+3=10, (-7)+3=-4, (-7)+(-3)=-10. So all are possible. This question needs review.