Use the distributive property to write an equivalent expression.
10, left parenthesis, m, plus, 4, n, right parenthesis
10(m+4n)

To use the distributive property to write an equivalent expression for \( 10(m + 4n) \), you'll multiply the number 10 by each term inside the parentheses. Here's how it's done:

\[
10(m + 4n) = 10 \cdot m + 10 \cdot 4n
\]

Now, simplify each term:

\[
10 \cdot m = 10m
\]

\[
10 \cdot 4n = 40n
\]

So, the equivalent expression is:

\[
10m + 40n
\]

Would you like any further explanation or details?

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Here are 5 questions related to this concept:

1. How would you apply the distributive property to \( 5(2x + 3y) \)?
2. Can the distributive property be used with subtraction, such as in \( 8(a - b) \)?
3. What happens if there are more than two terms inside the parentheses?
4. How would you factor \( 15x + 20y \) by reversing the distributive property?
5. Can you explain why the distributive property works for multiplication over addition?

**Tip:** When using the distributive property, always ensure you multiply every term inside the parentheses by the factor outside.

Use the distributive property to write an equivalent expression: 10(m + 4n)

Explore how to use the distributive property to simplify the expression 10(m + 4n). Learn step-by-step with examples and detailed explanations. Suitable for students in Grades 6-8.

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