Question

use the distributive property to fill in the blanks below.
$7 \times (1 + 6) = (\square \times 1) + (\square \times 6)$

Explanation:

Step1: Recall the distributive property

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

Step2: Apply the property to the given expression

In the expression \(7\times(1 + 6)=( \square\times1)+( \square\times6)\), comparing with \(a\times(b + c)=(a\times b)+(a\times c)\), we can see that \(a = 7\), \(b = 1\) and \(c = 6\). So both blanks should be filled with 7.

Answer:

The first blank is 7 and the second blank is 7. So the filled expression is \(7\times(1 + 6)=(7\times1)+(7\times6)\)