Question

Simplify the expression using the order of operations.

(25−10)÷5+3⋅232=
(
25
−
10
)
÷
5
+
3
⋅
2
3
2
=
(1 point)
Responses

9
9
9

43
4
3
4 thirds

18
18
18

1

Answer 1

wrong

Answer 2

To simplify the expression \((25 - 10) \div 5 + 3 \cdot 2 \cdot 3\), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

1. **Calculate the expression inside the parentheses:**
\[
25 - 10 = 15
\]

2. **Now substitute this back into the expression:**
\[
(15) \div 5 + 3 \cdot 2 \cdot 3
\]

3. **Perform the division:**
\[
15 \div 5 = 3
\]

4. **Now substitute this back into the expression:**
\[
3 + 3 \cdot 2 \cdot 3
\]

5. **Calculate \(3 \cdot 2 \cdot 3\):**
\[
3 \cdot 2 = 6
\]
\[
6 \cdot 3 = 18
\]

6. **Now combine the results:**
\[
3 + 18 = 21
\]

Therefore, the simplified expression is \(21\). It seems like "21" was not listed among the provided options, there could be a mistake in my calculation steps or a misunderstanding in the initial expression provided. If we correctly follow the operations outlined without error, it sums up consistently to \(21\).

Answer 3

Let’s re-evaluate the expression step by step to ensure we arrive at the correct answer.

The expression is:
\[
(25 - 10) \div 5 + 3 \cdot 2 \cdot 3
\]

**Step 1: Solve inside the parentheses.**
\[
25 - 10 = 15
\]
So the expression becomes:
\[
15 \div 5 + 3 \cdot 2 \cdot 3
\]

**Step 2: Perform the division.**
\[
15 \div 5 = 3
\]
Now the expression looks like:
\[
3 + 3 \cdot 2 \cdot 3
\]

**Step 3: Perform the multiplication.**
Calculate \(3 \cdot 2\):
\[
3 \cdot 2 = 6
\]
Then multiply by \(3\):
\[
6 \cdot 3 = 18
\]

**Step 4: Combine the results.**
Now substitute this back:
\[
3 + 18 = 21
\]

It seems there might be a mistake, since the options provided did not include 21.

Let's be clear on what the expression was meant to be:

1. If the expression was correctly stated as \((25 - 10) \div 5 + 3 \cdot 2 \cdot 3\), then the answer **is indeed 21.**
2. If there was a misinterpretation of the expression, please clarify it so I can properly assist you.

Thank you for your patience, and let me know how I can help further!