Chapter Exam

Chapter-10 Operations with Integers — Online MCQ Test

Q: Which of the following is an integer?

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.

Q: On a number line, which number is to the right of -3?

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.

Q: What is (-7) + (-5)?

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.

Q: What is 6 × (-3)?

Answer: A. -18 — When multiplying a positive integer by a negative integer, the product is negative. 6 × 3 = 18, so 6 × (-3) = -18.

Q: The temperature at 6 AM was -5°C. It rose by 8°C by noon. What was the temperature at noon?

Answer: B. 3°C — Starting temperature is -5°C. Rising by 8°C means adding 8: (-5) + 8 = 3°C.

Q: Compare the integers: -5 _____ -8

Answer: B. > — On a number line, -5 is to the right of -8, which means -5 > -8.

Q: Which statement is always true for integers a and 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.

Q: Which of the following satisfies the equation: 2x - 5 = -13?

Answer: B. x = -4 — 2x - 5 = -13. Adding 5: 2x = -8. Dividing by 2: x = -4. Verify: 2(-4) - 5 = -8 - 5 = -13. ✓

Q: If |a| = 7 and |b| = 3, what is NOT a possible value of a + b?

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.

MATHS · Grade 7 · CBSE(NCERT)

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Chapter-10 Operations with Integers — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 7 MATHS — Chapter-10 Operations with Integers, with answers and explanations. These are sample questions; the exam has its own separate question set.

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.

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.

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.

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.

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.

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.

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.

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.

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. ✓

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.

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