Solve Mixed Operations: 5 × 2 + 9 ÷ 3 Using Order of Operations

Q: Why can't I just work from left to right like reading?

Mathematics has a specific order of operations (PEMDAS) that everyone follows worldwide. Working left to right would give different people different answers for the same problem!

Q: Do I do multiplication before division or division before multiplication?

Multiplication and division have equal priority - you work them from left to right. In this problem, we can do either $ 5 \times 2 $ or $ 9 \div 3 $ first.

Q: How do I remember to follow the order of operations?

Practice identifying the operations first! Circle or underline the multiplication and division operations, do those calculations, then handle addition and subtraction.

Mixed Operations with PEMDAS Priority

$5 \times 2 + 9 \div 3 =$

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Understand the problem

$5 \times 2 + 9 \div 3 =$

Step-by-step solution

1. Follow the order of operations (PEMDAS/BODMAS).

2. First do the division: $9 \div 3 = 3$ .

3. Then, perform the multiplication: $5 \times 2 = 10$ .

4. Finally, perform the addition: $10 + 3 = 13$ .

Final Answer

$13$

Key Points to Remember

Essential concepts to master this topic

Rule: Follow PEMDAS order: Multiplication and Division before Addition
Technique: Calculate $5 \times 2 = 10$ and $9 \div 3 = 3$ first
Check: Final step should be $10 + 3 = 13$ ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following order of operations
Don't calculate 5 × 2 + 9 ÷ 3 as (5 × 2) + 9) ÷ 3 = 19 ÷ 3 = 6⅓! This ignores PEMDAS and gives the wrong answer. Always do all multiplication and division first, then addition and subtraction.

Practice Quiz

Test your knowledge with interactive questions

$3 + 4 \times 2 =$

FAQ

Everything you need to know about this question

Why can't I just work from left to right like reading?

Mathematics has a specific order of operations (PEMDAS) that everyone follows worldwide. Working left to right would give different people different answers for the same problem!

Do I do multiplication before division or division before multiplication?

Multiplication and division have equal priority - you work them from left to right. In this problem, we can do either $5 \times 2$ or $9 \div 3$ first.

What does PEMDAS stand for again?

PEMDAS means: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Some people remember it as 'Please Excuse My Dear Aunt Sally'.

How do I remember to follow the order of operations?

Practice identifying the operations first! Circle or underline the multiplication and division operations, do those calculations, then handle addition and subtraction.

What if I get a different answer than the choices given?

Double-check your order of operations! Most mistakes happen when students add or subtract before doing multiplication and division. Recalculate step by step following PEMDAS.

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