Question

use the distributive property to fill in the blanks below. 7×(2 + 9) = (□×2) + (□×9)

Explanation:

Step1: Recall distributive property

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

Step2: Apply to given expression

For \(7\times(2 + 9)\), comparing with \(a\times(b + c)\), we have \(a = 7\), \(b=2\), \(c = 9\). So by distributive property, \(7\times(2 + 9)=(7\times2)+(7\times9)\).

Answer:

The blanks should be filled with 7 and 7 respectively, so \(7\times(2 + 9)=(7\times2)+(7\times9)\)