The Power of Multiplication Properties in Simplifying Expressions

How can we use properties of multiplication to simplify expressions?

Let's explore the different properties of multiplication in action:

A -5 ×13×6 = -5×(13×6) = -5 × 2 = -10

B 30 × 116 = 30×(1+16) = 30 × 1 + 30 × 16 = 30 + 5 = 35

C 25× (-8) × 10 = 25 × 10 × (-8) = 4 × (-8) = -32

D -1.2×3×100 = -1.2×100×3 = -120 × 3 = -360

The Answer:

1. Associative Property

2. Distributive Property

3. Commutative Property

4. Commutative Property

Understanding the properties of multiplication opens up a world of simplification possibilities in mathematical expressions. By applying the Associative Property, we can group numbers in different ways while still obtaining the same result. The Distributive Property allows us to distribute one number across terms within parentheses. Lastly, the Commutative Property shows us that the order of multiplication does not affect the outcome.

By mastering these properties, we can navigate complex expressions with ease and confidence. Embrace the power of multiplication properties in your mathematical journey!