Q: 2. What is the difference between whole numbers and integers?

Whole numbers : Include 0 and positive numbers (0, 1, 2, 3, …). Integers : Include 0 and positive numbers with negative numbers (-3, -2, -1, 0, 1, 2, 3, …).

Q: 3. What is the smallest and largest integer?

There is no smallest or largest integer because integers extend infinitely in both directions on a number line.

Q: 4. Is zero a positive or negative integer?

Zero is neither positive nor negative . It is a neutral integer.

Q: 5. Can the sum of two negative integers be positive?

No, the sum of two negative integers is always negative . Example: (-5) + (-3) = -8

Q: 7. What is the result of multiplying two negative integers?

The product of two negative integers is always positive. Example: (-4) × (-3) = 12

Q: 8. Why is (-5) × (-3) = 15?

Multiplication follows the rule of signs : Negative × Negative = Positive Negative × Positive = Negative So, (-5) × (-3) = +15 .

Q: 9. How do we subtract integers?

Subtracting an integer means adding its opposite (change the sign and add). Example: (-7) – (+3) = -7 + (-3) = -10

Q: 10. Is division of integers commutative?

No, division is not commutative because a ÷ b ≠ b ÷ a . Example: (-10) ÷ 5 = -2, but 5 ÷ (-10) ≠ -2

Question 1

1. What are integers?

Accepted Answer

Integers are a set of whole numbers that include positive numbers, negative numbers, and zero. They do not include fractions or decimals.

Question 2

2. What is the difference between whole numbers and integers?

Accepted Answer

Whole numbers: Include 0 and positive numbers (0, 1, 2, 3, …).
Integers: Include 0 and positive numbers with negative numbers (-3, -2, -1, 0, 1, 2, 3, …).

Question 3

3. What is the smallest and largest integer?

Accepted Answer

There is no smallest or largest integer because integers extend infinitely in both directions on a number line.

Question 4

4. Is zero a positive or negative integer?

Accepted Answer

Zero is neither positive nor negative. It is a neutral integer.

Question 5

5. Can the sum of two negative integers be positive?

Accepted Answer

No, the sum of two negative integers is always negative.
Example: (-5) + (-3) = -8

Question 6

6. What happens when a positive and a negative integer are added?

Accepted Answer

Subtract the smaller absolute value from the larger one.
The answer takes the sign of the larger number.
Example: (+8) + (-5) = 3

Question 7

7. What is the result of multiplying two negative integers?

Accepted Answer

The product of two negative integers is always positive.
Example: (-4) × (-3) = 12

Question 8

8. Why is (-5) × (-3) = 15?

Accepted Answer

Multiplication follows the
rule of signs:
Negative × Negative = Positive
Negative × Positive = Negative
So, (-5) × (-3) = +15.

Question 9

9. How do we subtract integers?

Accepted Answer

Subtracting an integer means adding its opposite (change the sign and add).
Example: (-7) – (+3) = -7 + (-3) = -10

Question 10

10. Is division of integers commutative?

Accepted Answer

No, division is not commutative because a ÷ b ≠ b ÷ a.
Example: (-10) ÷ 5 = -2, but 5 ÷ (-10) ≠ -2

Question 11

11. How are integers used in real life?

Accepted Answer

Integers are used in:
✔️ Banking (credits and debits)
✔️ Temperature measurement (positive for above freezing, negative for below)
✔️ Elevation levels (above and below sea level)

Question 12

12. What is the absolute value of an integer?

Accepted Answer

The absolute value of an integer is its distance from zero, regardless of its sign.
Example: |−7| = 7

Question 13

13. Can integers be decimal numbers?

Accepted Answer

No, integers cannot have decimal or fractional parts.

Question 14

14. What is the additive inverse of an integer?

Accepted Answer

The additive inverse of an integer "x" is "-x" because its sum is zero.
Example: The additive inverse of 5 is -5 because 5 + (-5) = 0.

Question 15

15. What is the distributive property of integers?

Accepted Answer

The distributive property states:
a × (b + c) = (a × b) + (a × c)
Example: 2 × (3 + 4) = (2 × 3) + (2 × 4) = 6 + 8 = 14

Integers Class 7 Maths Best Notes – Chapter 1

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