Question

1. 8 × ( 2 + _ ) = 8 × _ + 8 × 9

Explanation:

Step1: Recall the distributive property

The distributive property of multiplication over addition states that \(a\times(b + c)=a\times b+a\times c\). In the given equation \(8\times(2 + \underline{\quad}) = 8\times\underline{\quad}+8\times9\), we can compare it with the distributive property formula.

Step2: Identify the missing values

Comparing \(8\times(2 + c)=8\times2 + 8\times9\) (where \(c\) is the first missing number and the second missing number is \(2\)) with the distributive property \(a\times(b + c)=a\times b+a\times c\) (here \(a = 8\), \(b = 2\), \(c = 9\)). So the first blank should be \(9\) and the second blank should be \(2\).

Answer:

The first blank is \(9\) and the second blank is \(2\) (i.e., \(8\times(2 + \boldsymbol{9}) = 8\times\boldsymbol{2}+8\times9\))