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4) use the distributive property to write 5(10 + 2) as a sum. 5(10 + 2)…

Question

  1. use the distributive property to write 5(10 + 2) as a sum. 5(10 + 2) = ? + ?

Explanation:

Step1: Recall distributive property

The distributive property states that \( a(b + c) = ab + ac \).

Step2: Apply to given expression

For \( 5(10 + 2) \), let \( a = 5 \), \( b = 10 \), \( c = 2 \). Then \( 5(10 + 2)=5\times10 + 5\times2 \).

Step3: Calculate each term

\( 5\times10 = 50 \) and \( 5\times2 = 10 \).

Answer:

\( 50 + 10 \)