Solve the Expression: 10 ÷ 5 × 6 Using Order of Operations

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

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

Q: What if I accidentally did 5 × 6 first and got a different answer?

If you calculated $ 5 \times 6 = 30 $ first, you'd get $ 10 \div 30 = \frac{1}{3} $, which is wrong! Remember: left to right when operations have equal priority.

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

Think of PEMDAS/BODMAS - the MD (Multiplication/Division) and AS (Addition/Subtraction) work as pairs from left to right. It's not strict multiplication first!

Q: Is there an easy way to check my work?

Yes! Break it into clear steps: Step 1: $ 10 \div 5 = 2 $, Step 2: $ 2 \times 6 = 12 $. If you get 12, you're correct!

Order of Operations with Division and Multiplication

$10 \div 5 \times 6 =$

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Understand the problem

$10 \div 5 \times 6 =$

Step-by-step solution

To solve $10 \div 5 \times 6$ , you need to follow the order of operations: first perform the division and then the multiplication.

Step 1: Divide 10 by 5: $10 \div 5 = 2$

Step 2: Multiply the result by 6: $2 \times 6 = 12$

So, the answer is $12$ .

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 $10 \div 5 = 2$ , then $2 \times 6 = 12$
Check: Verify by working step-by-step: 10 ÷ 5 = 2, then 2 × 6 = 12 ✓

Common Mistakes

Avoid these frequent errors

Doing multiplication before division
Don't calculate 5 × 6 = 30 first, then 10 ÷ 30 = 1/3! This ignores left-to-right order and gives a wrong decimal answer. Always work division and multiplication from left to right when they appear together.

Practice Quiz

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$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

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

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

What if I accidentally did 5 × 6 first and got a different answer?

If you calculated $5 \times 6 = 30$ first, you'd get $10 \div 30 = \frac{1}{3}$ , which is wrong! Remember: left to right when operations have equal priority.

How can I remember to go left to right?

Think of PEMDAS/BODMAS - the MD (Multiplication/Division) and AS (Addition/Subtraction) work as pairs from left to right. It's not strict multiplication first!

Is there an easy way to check my work?

Yes! Break it into clear steps: Step 1: $10 \div 5 = 2$ , Step 2: $2 \times 6 = 12$ . If you get 12, you're correct!

What if the problem had parentheses like (10 ÷ 5) × 6?

Parentheses would make it clearer, but the answer stays the same! $(10 \div 5) \times 6 = 2 \times 6 = 12$ . Without parentheses, left-to-right rule gives the same result.

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