[(1 + 5 × 6) - 6 + (8 × 9 ÷ 8)]

To solve the expression ( 1 + 5 × 6 ) − 6 + ( 8 × 9 ÷ 8 ) , we need to follow the order of operations, often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Let's break it down step-by-step:

Solve inside the parentheses :

First, calculate the expression inside the first set of parentheses: 1 + 5 × 6 .
According to PEMDAS, multiplication comes before addition, so: 5 × 6 = 30 .
Then add 1: 1 + 30 = 31 .




Handle any remaining operations inside parentheses :

The expression is now 31 − 6 + ( 8 × 9 ÷ 8 ) .
Next, calculate the expression inside the second set of parentheses: 8 × 9 ÷ 8 .
Perform the multiplication first: 8 × 9 = 72 .
Then perform the division: 72 ÷ 8 = 9 .




Simplify the overall expression :

Now substitute back into the expression: 31 − 6 + 9 .
Perform the subtraction: 31 − 6 = 25 .
Finally, perform the addition: 25 + 9 = 34 .



Therefore, the result of the expression is 34 .

Answered by IsabellaRoseDavis | 2025-07-21