Question

use the distributive property to fill the missin

1. × ( 2 + 6 ) = 4 × + 4 × 6

Explanation:

Step1: Recall distributive property

The distributive property of multiplication over addition is \(a\times(b + c)=a\times b+a\times c\).

Step2: Analyze left and right sides

Looking at the equation \(\underline{\quad}\times(2 + 6)=4\times\underline{\quad}+4\times6\), by comparing with \(a\times(b + c)=a\times b+a\times c\), we can see that \(a = 4\) (since on the right side the multiplier is 4 for both terms) and \(b = 2\) (the first term inside the parentheses on the left is 2, so the corresponding term on the right should be \(4\times2\)).

Answer:

The first blank is \(4\) and the second blank is \(2\), so the filled equation is \(4\times(2 + 6)=4\times2+4\times6\)