(6m−7)⋅4 Equivalent Expression

Jasonbradley

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Jun 16, 2024

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Finding Equivalent Expressions for (6m - 7) ⋅ 4

In mathematics, an equivalent expression is an expression that has the same value as another expression, even though it might look different. We can use the distributive property to find equivalent expressions.

The Distributive Property

The distributive property states that for any numbers a, b, and c:

a ⋅ (b + c) = (a ⋅ b) + (a ⋅ c)

This means we can multiply a number outside the parentheses by each term inside the parentheses separately.

Finding an Equivalent Expression for (6m - 7) ⋅ 4

Let's apply the distributive property to our expression:

1. Identify the terms: In the expression (6m - 7) ⋅ 4, our terms are 6m and -7.
2. Distribute the multiplication: Multiply each term inside the parentheses by 4:
   • (6m ⋅ 4) + (-7 ⋅ 4)
3. Simplify:
   • 24m - 28

Therefore, an equivalent expression for (6m - 7) ⋅ 4 is 24m - 28.

Important Note:

Remember that you can always check your answer by plugging in a value for m into both the original expression and the equivalent expression. The results should be the same.