Question

Apply the rules for order of operations to simplify (2− 1) + 32 ÷ 3.
Question 1 options:

A)

6

B)

10/3

C)

4

D)

3

Answers

Answered by GPT-4o mini
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:

1. **Evaluate the expression in the parentheses:**
\[
2 - 1 = 1
\]

2. **Substitute back into the expression:**
\[
1 + 32 ÷ 3
\]

3. **Perform the division:**
\[
32 ÷ 3 = \frac{32}{3}
\]

4. **Substitute back into the expression:**
\[
1 + \frac{32}{3}
\]

5. **Convert 1 to a fraction with a common denominator of 3:**
\[
1 = \frac{3}{3}
\]

6. **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.

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