Question

1. 8×345=____

Explanation:

Step1: Break down 345

We can break down 345 as \(300 + 40+ 5\). So, \(8\times345 = 8\times(300 + 40 + 5)\).

Step2: Use distributive property

Using the distributive property of multiplication over addition, \(a\times(b + c + d)=a\times b+a\times c + a\times d\), we get:
\(8\times300+8\times40 + 8\times5\)

Step3: Calculate each product

Calculate each term: \(8\times300 = 2400\), \(8\times40=320\), \(8\times5 = 40\).

Step4: Sum the results

Now, sum these results: \(2400+320 + 40=2760\).

Answer:

2760