Study the calculation: 6 + 24 ÷ 3 x 8 – 2. The next step in determining the answer will be

To determine the answer, we'll follow the order of operations (PEMDAS/BODMAS), which prioritizes parentheses (or brackets), exponents (or orders), multiplication and division (from left to right), and then addition and subtraction (from left to right).

The calculation is:

\[
6 + 24 \div 3 \times 8 - 2
\]

### Step-by-Step Solution
1. **Division first**: \( 24 \div 3 = 8 \), so the expression becomes:
   \[
   6 + 8 \times 8 - 2
   \]

2. **Multiplication next**: \( 8 \times 8 = 64 \), so the expression now is:
   \[
   6 + 64 - 2
   \]

3. **Addition and Subtraction from left to right**:
   - \( 6 + 64 = 70 \)
   - \( 70 - 2 = 68 \)

### Final Answer
The answer is **68**.

Would you like more details or have any questions?

### Related Questions:
1. How would the answer change if we replaced division with addition?
2. How does the order of operations affect calculations in expressions like this?
3. If we added parentheses around \(24 \div (3 \times 8)\), what would the result be?
4. What happens if we evaluate operations from right to left instead?
5. How would the answer change if each operator was reversed in order?

### Tip:
Remember, multiplication and division are handled from left to right as they appear in the expression, regardless of which comes first.

Understand how to solve the arithmetic expression 6 + 24 ÷ 3 x 8 – 2 using the order of operations (PEMDAS/BODMAS). This problem demonstrates division, multiplication, addition, and subtraction, helping students in Grades 5-7 reinforce their understanding of operation sequencing.

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