**Playing with Numbers: Class 6**

In Class 6 Mathematics, the topic "Playing with Numbers" introduces students to the concept of integers and operations like multiplication and division. This topic lays the foundation for understanding the properties and rules of these operations.

**Integers:**

Integers are whole numbers that can be positive, negative, or zero. They are represented on a number line and include numbers like -3, -2, -1, 0, 1, 2, 3, and so on. Integers are used to represent quantities that involve both magnitude and direction.

**Multiplication of Integers:**

Multiplication of integers follows certain rules:

1. When both factors have the same sign (either positive or negative), the product is positive. For example: (+5) x (+3) = +15 or (-4) x (-2) = +8.

2. When both factors have different signs (one positive and one negative), the product is negative. For example: (+6) x (-2) = -12 or (-9) x (+7) = -63.

3. When one of the factors is zero, the product is always zero. For example: (0) x (+5) = 0 or (-8) x (0) = 0.

**Division of Integers:**

Division of integers also follows specific rules:

1. When the dividend and divisor have the same sign (either positive or negative), the quotient is positive. For example: (+15) ÷ (+3) = +5 or (-12) ÷ (-4) = +3.

2. When the dividend and divisor have different signs (one positive and one negative), the quotient is negative. For example: (+10) ÷ (-2) = -5 or (-21) ÷ (+7) = -3.

3. When the dividend is zero, the quotient is always zero. For example: (0) ÷ (+5) = 0 or (0) ÷ (-8) = 0.

**Key Concepts:**

- Multiplication and division of integers involve the concept of sign (positive or negative).
- The rules for multiplication and division of integers help determine the sign of the product or quotient.
- Understanding how to apply these rules is essential for solving problems involving integers.

**Conclusion:**

Playing with numbers in Class 6 Mathematics focuses on integers and their multiplication and division. By understanding the rules for these operations, students can solve various mathematical problems involving integers. Practice and application of these concepts will strengthen their understanding and pave the way for more complex mathematical concepts in higher grades.

Example of multiplication of integers= (-29)+14
example of division of integers =18÷ (-3)