Solve: 6 ÷ 3 × 4 Using Order of Operations

Q: Why don't I multiply 3 × 4 first since multiplication comes before division in PEMDAS?

Great question! In PEMDAS, multiplication and division have equal priority. When operations have the same priority, you work left to right. So division comes first here because it's on the left.

Q: What if the problem was written as 6 × 4 ÷ 3?

You'd still work left to right! First: $ 6 \times 4 = 24 $, then $ 24 \div 3 = 8 $. Same answer, but different order because multiplication comes first from left to right.

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

Think of it like reading a sentence - you read from left to right! When operations have equal priority (like × and ÷, or + and -), always work in the order you encounter them.

Q: What would happen if I used parentheses?

Parentheses change everything! $ 6 \div (3 \times 4) $ would give you $ 6 \div 12 = 0.5 $ because parentheses are done first. Always look for parentheses!

Q: Is there a trick to avoid making order mistakes?

Yes! Underline operations as you complete them from left to right. For $ 6 \div 3 \times 4 $: underline ÷ first, solve it, then underline × and solve that.

Order of Operations with Division and Multiplication

$6 \div 3 \times 4 =$

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Understand the problem

$6 \div 3 \times 4 =$

Step-by-step solution

First, perform the division: $6 \div 3 = 2$ .

Next, multiply the result by 4: $2 \times 4 = 8$ .

So, the answer is $8$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Division and multiplication have equal priority, work left to right
Technique: First calculate $6 \div 3 = 2$ , then $2 \times 4 = 8$
Check: Verify by following PEMDAS order: division first, then multiplication gives 8 ✓

Common Mistakes

Avoid these frequent errors

Doing multiplication before division
Don't calculate 3 × 4 = 12 first, then 6 ÷ 12 = 0.5! This ignores left-to-right order and gives the wrong answer. Always work left to right when operations have equal priority like division and multiplication.

Practice Quiz

Test your knowledge with interactive questions

What is the result of the following equation?

$36-4\div2$

FAQ

Everything you need to know about this question

Why don't I multiply 3 × 4 first since multiplication comes before division in PEMDAS?

Great question! In PEMDAS, multiplication and division have equal priority. When operations have the same priority, you work left to right. So division comes first here because it's on the left.

What if the problem was written as 6 × 4 ÷ 3?

You'd still work left to right! First: $6 \times 4 = 24$ , then $24 \div 3 = 8$ . Same answer, but different order because multiplication comes first from left to right.

How do I remember to go left to right?

Think of it like reading a sentence - you read from left to right! When operations have equal priority (like × and ÷, or + and -), always work in the order you encounter them.

What would happen if I used parentheses?

Parentheses change everything! $6 \div (3 \times 4)$ would give you $6 \div 12 = 0.5$ because parentheses are done first. Always look for parentheses!

Is there a trick to avoid making order mistakes?

Yes! Underline operations as you complete them from left to right. For $6 \div 3 \times 4$ : underline ÷ first, solve it, then underline × and solve that.

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