simplify x 3 x 4

Guri Bee

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21-10-2024

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Simplifying Multiplication: x * 3 * 4

Multiplication is a fundamental mathematical operation, and simplifying expressions involving multiplication is a key skill in mathematics. Let's break down how to simplify the expression "x * 3 * 4".

Understanding the Commutative Property

The commutative property of multiplication states that the order in which you multiply numbers doesn't affect the result. In other words, a * b = b * a.

Applying the Property

Using the commutative property, we can rearrange the expression "x * 3 * 4" to make it easier to work with:

1. Group the numbers: x * (3 * 4)

2. Simplify the multiplication: x * 12

The Final Result

The simplified expression is 12x.

Example:

Let's say x = 5. Substituting into the simplified expression, we get:

12 * 5 = 60

This is the same as evaluating the original expression:

5 * 3 * 4 = 60

Key Takeaway

By applying the commutative property of multiplication, we can simplify expressions and make calculations easier. Remember that the order of multiplication doesn't matter when finding the product.

Further Exploration

If you're interested in delving deeper into multiplication, you can explore:

• Associative Property: This property allows you to group numbers in different ways without changing the result. For example: (a * b) * c = a * (b * c)
• Distributive Property: This property allows you to multiply a sum by a number. For example: a * (b + c) = (a * b) + (a * c)

Understanding these properties will empower you to confidently simplify and manipulate complex expressions.