Let's manually compute the expression step by step:

Given expression:
\[ 97345 - 9205 \times 3 + 7 \times 9205 \]

1. Calculate \( 9205 \times 3 \):
\[
9205 \times 3 = 27615
\]

2. Calculate \( 7 \times 9205 \):
\[
7 \times 9205 = 64435
\]

Now, substitute the values back:
\[
97345 - 27615 + 64435
\]

3. Subtract \( 97345 - 27615 \):
\[
97345 - 27615 = 69730
\]

4. Add \( 69730 + 64435 \):
\[
69730 + 64435 = 134165
\]

Thus, the result is:
\[
134165
\]

Do you have any questions or would you like more details? Here are five related questions to explore further:

1. How would the result change if you adjusted one of the coefficients in the equation?
2. Can you create a similar equation with different numbers to practice the steps?
3. What happens if we add parentheses in different parts of the expression?
4. How does the order of operations (PEMDAS) affect such problems?
5. How could you verify this result using a calculator?

**Tip:** Always follow the order of operations—multiply and divide before adding and subtracting.

Learn how to solve the arithmetic expression 97345 - 9205 * 3 + 7 * 9205 step by step, using multiplication, addition, and subtraction. This example highlights the importance of the order of operations (PEMDAS). Suitable for students in Grades 6-8.

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