Question

3 julio finds 8 × 6 by breaking apart the 6 into 4 + 2. which expression correctly shows the next step in finding the product? a (6 × 4)+(6 × 2) b (8 × 6)+(8 × 2) c (8 + 4)×(8 + 2) d (8 × 4)+(8 × 2) eric chose a as the correct answer. how did he get

Explanation:

Step1: Apply distributive property

The distributive property of multiplication over addition states that \(a\times(b + c)=a\times b+a\times c\). Here \(a = 8\), \(b = 4\) and \(c = 2\), so \(8\times6=8\times(4 + 2)=(8\times4)+(8\times2)\).

Answer:

D. \((8\times4)+(8\times2)\)