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Write a string of equations showing HOW to use the properties of operations to mentally compute the following problem. Indicate which properties of operations you use and where you use them: $8 \times 67$

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Write and solve equations for proportional relationships

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Q. Write a string of equations showing HOW to use the properties of operations to mentally compute the following problem. Indicate which properties of operations you use and where you use them:

8 \times 67

Breakdown $67$ into $60$ and $7$ : First, we can use the distributive property to break down $67$ into $60$ and $7$ , which are easier numbers to work with. We can then multiply $8$ by each of these numbers separately. $\newline$ $8 \times 67 = 8 \times (60 + 7)$
Apply Distributive Property: Next, we apply the distributive property to multiply $8$ by $60$ and $8$ by $7$ separately. $8 \times (60 + 7) = (8 \times 60) + (8 \times 7)$
Compute Multiplications: Now, we compute each multiplication. Multiplying $8$ by $60$ gives us $480$ , and multiplying $8$ by $7$ gives us $56$ . $\newline$ $(8 \times 60) + (8 \times 7) = 480 + 56$
Add to Get Final Result: Finally, we add $480$ and $56$ to get the final result. $480 + 56 = 536$

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