Solve Expression: 9 ÷ 3 + 4 Using Order of Operations

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

You do work left to right, but only within the same operation level! Division comes before addition in PEMDAS, so even though addition appears last, division must be done first.

Q: What if there were parentheses around 3 + 4?

Then you'd calculate $ (3 + 4) = 7 $ first, giving $ 9 \div 7 $. Parentheses always come first in PEMDAS!

Q: How do I remember the order of operations?

Try the phrase "Please Excuse My Dear Aunt Sally" for PEMDAS. Practice with simple problems like this one until it becomes automatic!

Q: Is there ever a time when addition comes before division?

Only when parentheses group the addition first, like $ 9 \div (3 + 4) $. Without parentheses, division always comes before addition in the order of operations.

Order of Operations with Division First

$9 \div 3 + 4 =$

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Understand the problem

$9 \div 3 + 4 =$

Step-by-step solution

To solve $9 \div 3 + 4$ , follow the order of operations:

First, perform the division: $9 \div 3 = 3$ .
Then, add the result to 4: $3 + 4 = 7$ .

Thus, the answer is $7$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Division comes before addition in order of operations
Technique: Calculate $9 \div 3 = 3$ first, then $3 + 4 = 7$
Check: Work left to right following PEMDAS: division first gives 7 ✓

Common Mistakes

Avoid these frequent errors

Adding before dividing
Don't add 3 + 4 = 7 first, then divide 9 ÷ 7 = 1.3! This ignores PEMDAS order and gives completely wrong answers. Always follow PEMDAS: division comes before addition.

Practice Quiz

Test your knowledge with interactive questions

$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

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

You do work left to right, but only within the same operation level! Division comes before addition in PEMDAS, so even though addition appears last, division must be done first.

What does PEMDAS stand for again?

Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Remember: multiplication and division have equal priority!

What if there were parentheses around 3 + 4?

Then you'd calculate $(3 + 4) = 7$ first, giving $9 \div 7$ . Parentheses always come first in PEMDAS!

How do I remember the order of operations?

Try the phrase "Please Excuse My Dear Aunt Sally" for PEMDAS. Practice with simple problems like this one until it becomes automatic!

Is there ever a time when addition comes before division?

Only when parentheses group the addition first, like $9 \div (3 + 4)$ . Without parentheses, division always comes before addition in the order of operations.

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