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 that answer?

Explanation:

Step1: Apply distributive property

We know 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. \((8\times4)+(8\times2)\)
Eric likely mis - applied the distributive property. He might have thought that the number being multiplied (8) should be distributed to the wrong factor. The correct way to apply the distributive property when we have \(8\times(4 + 2)\) is to multiply 8 by both 4 and 2 and then add the products, which gives \((8\times4)+(8\times2)\) not \((6\times4)+(6\times2)\) as Eric chose.