Use the rules for order of operations to calculate the following by hand.
(4 − 7) ÷ (6 − 3)

To solve \((4 - 7) \div (6 - 3)\) using the order of operations, follow these steps:

1. **Parentheses**: Simplify the expressions inside the parentheses.
   - \(4 - 7 = -3\)
   - \(6 - 3 = 3\)

   So the expression becomes:
   \[
   (-3) \div 3
   \]

2. **Division**: Perform the division.
   - \(-3 \div 3 = -1\)

Thus, the final answer is \(-1\).

Would you like further details or have any questions?

Here are five related questions to practice:
1. Calculate \((10 - 2) \div (8 - 6)\).
2. Solve \((5 + 2) \times (3 - 1)\) using the order of operations.
3. What is the result of \((9 - 4) \div (7 - 5)\)?
4. Simplify and solve \((12 - 9) + (15 \div 3)\).
5. Find the value of \((7 + 3) \div (5 - 4)\).

**Tip:** Always simplify inside the parentheses first before moving on to other operations.

Learn how to calculate (4 - 7) ÷ (6 - 3) step-by-step using the order of operations. Understand the importance of parentheses in arithmetic operations. Suitable for students in Grades 5-7.

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