6. \( (10-2) \times(6+5) \div 2+45= \)

First, let’s break down the expression step by step. Start with the parentheses: \(10-2 = 8\) and \(6+5 = 11\). Next, substitute these back into the expression: \(8 \times 11 \div 2 + 45\). Now, perform the multiplication: \(8 \times 11 = 88\). Then, divide by 2: \(88 \div 2 = 44\). Finally, add 45: \(44 + 45 = 89\). So, the final answer is \(89\). To make math more engaging, you could think of it as a little story: you start with 10 apples, take away 2 for a friend, get 6 more apples with 5 cherries, share half of your total apples with two friends, and then celebrate with 45 cookies! What a party that would be!