Solve the Expression: 8 ÷ 2 × 3 × 2 Using Order of Operations

Q: Why do I work left to right instead of doing all multiplication first?

Division and multiplication have equal priority! When operations have the same level, you must work left to right. Think of it like reading a sentence - you go in order.

Q: What if I accidentally did the multiplication first?

You'd get $ 8 ÷ (2 × 3 × 2) = 8 ÷ 12 = 0.67 $ instead of 24! This is a completely different problem because you changed the order of operations.

Q: How can I remember to go left to right?

Use the memory trick: "Please Excuse My Dear Aunt Sally" for Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). The key is same level operations go left to right!

Q: Is there a way to double-check my work?

Yes! Work through each step carefully: $ 8 ÷ 2 = 4 $, then $ 4 × 3 = 12 $, finally $ 12 × 2 = 24 $. Write each step down to avoid mental math errors.

Q: What's the difference between this and PEMDAS?

This problem only uses the MD part of PEMDAS (Multiplication and Division). Since there are no parentheses, exponents, addition, or subtraction, you only need to remember that M and D work left to right.

Order of Operations with Mixed Operations

$8 \div 2 \times 3 \times 2 =$

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Understand the problem

$8 \div 2 \times 3 \times 2 =$

Step-by-step solution

To solve the expression $8 \div 2 \times 3 \times 2$ , we need to follow the order of operations, specifically multiplication and division from left to right.

First, we divide 8 by 2:

$8 \div 2 = 4$

Next, we multiply the result by 3:

$4 \times 3 = 12$

Finally, we multiply by 2:

$12 \times 2 = 24$

Thus, the value of $8 \div 2 \times 3 \times 2$ is $24$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Division and multiplication have equal priority, work left to right
Technique: Calculate step by step: 8 ÷ 2 = 4, then 4 × 3 = 12
Check: Verify final calculation: 12 × 2 = 24 matches the correct answer ✓

Common Mistakes

Avoid these frequent errors

Doing multiplication before division when reading left to right
Don't calculate 2 × 3 × 2 first = 12, then 8 ÷ 12 = 0.67! This ignores left-to-right order for equal operations and gives the wrong result. Always work multiplication and division from left to right in the order they appear.

Practice Quiz

Test your knowledge with interactive questions

$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

Why do I work left to right instead of doing all multiplication first?

Division and multiplication have equal priority! When operations have the same level, you must work left to right. Think of it like reading a sentence - you go in order.

What if I accidentally did the multiplication first?

You'd get $8 ÷ (2 × 3 × 2) = 8 ÷ 12 = 0.67$ instead of 24! This is a completely different problem because you changed the order of operations.

How can I remember to go left to right?

Use the memory trick: "Please Excuse My Dear Aunt Sally" for Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). The key is same level operations go left to right!

Is there a way to double-check my work?

Yes! Work through each step carefully: $8 ÷ 2 = 4$ , then $4 × 3 = 12$ , finally $12 × 2 = 24$ . Write each step down to avoid mental math errors.

What's the difference between this and PEMDAS?

This problem only uses the MD part of PEMDAS (Multiplication and Division). Since there are no parentheses, exponents, addition, or subtraction, you only need to remember that M and D work left to right.

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