Integer standard six Rules, Example

Integers for Class 6 – Notes, Rules, and Practice Questions

Maths | Class 6 | Topic: Integers

1. What are Integers?

Integers are whole numbers that can be positive, negative, or zero. They do not include fractions or decimals.

Examples: -7, -3, 0, 4, 15

2. Types of Integers

Positive Integers: More than zero (1, 2, 3, ...)
Negative Integers: Less than zero (-1, -2, -3, ...)
Zero: Neither positive nor negative

3. Rules of Integers

A. Addition Rules

Expression	Explanation	Result
(+) + (+)	Add the numbers; result is positive	3 + 5 = 8
(-) + (-)	Add the absolute values; result is negative	-3 + (-5) = -8
(+) + (-) or (-) + (+)	Subtract smaller from larger; take sign of larger	7 + (-4) = 3, -7 + 4 = -3

B. Subtraction

Subtraction is adding the opposite. Example:

5 − (-3) = 5 + 3 = 8

C. Multiplication Rules

Signs	Result Sign	Example
(+) × (+)	Positive	4 × 3 = 12
(-) × (-)	Positive	-4 × -3 = 12
(+) × (-) or (-) × (+)	Negative	4 × -3 = -12

D. Division Rules

The same sign rules as multiplication apply.

Signs	Result Sign	Example
(+) ÷ (+)	Positive	12 ÷ 3 = 4
(-) ÷ (-)	Positive	-12 ÷ -3 = 4
(+) ÷ (-) or (-) ÷ (+)	Negative	12 ÷ -3 = -4

4. Number Line Representation

Integers are shown on a number line: positive to the right, negative to the left, and zero in the middle.

5. Properties of Integers

Closure: Sum, difference, and product of integers is an integer.
Commutative: a + b = b + a; a × b = b × a
Associative: (a + b) + c = a + (b + c)
Distributive: a × (b + c) = a × b + a × c

6. Practice Questions

Easy Level

5 + (-3) = ?
-8 + 6 = ?
12 − (-5) = ?
-4 × 6 = ?

Medium Level

(-15) + (-25) = ?
(-20) ÷ 4 = ?
(7 + (-9)) × (-3) = ?
-12 − (-8) = ?

Word Problems

A submarine is at 50 m below sea level. It goes down 30 m more. What is its new position?
The temperature was -3°C in the morning. It dropped by 5°C. What is the new temperature?

7. SEO Keywords

Integers for Class 6 Class 6 maths integers notes Rules of integers Integer problems for class 6 Integer number line examples Properties of integers class 6 Integer practice questions Learn integers easily