To simplify the expression (2 - 1) + 32 ÷ 3 using the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right), we follow these steps:
-
Evaluate the expression in the parentheses: \[ 2 - 1 = 1 \]
-
Substitute back into the expression: \[ 1 + 32 ÷ 3 \]
-
Perform the division: \[ 32 ÷ 3 = \frac{32}{3} \]
-
Substitute back into the expression: \[ 1 + \frac{32}{3} \]
-
Convert 1 to a fraction with a common denominator of 3: \[ 1 = \frac{3}{3} \]
-
Add the fractions: \[ \frac{3}{3} + \frac{32}{3} = \frac{3 + 32}{3} = \frac{35}{3} \]
Since none of the options provided show \(\frac{35}{3}\), it seems there might have been an error in the options or a misunderstanding of the expression. However, based on the steps taken, the correct simplified form of the expression (2 - 1) + 32 ÷ 3 is \(\frac{35}{3}\).
Given the options:
- A) 6
- B) 10/3
- C) 4
- D) 3
None of the answers match the calculated result of \(\frac{35}{3}\). You may want to double-check the choices provided or the expression itself.