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
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.
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.