Solve the Expression: Finding the Value of 9:3-3

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

Mathematical expressions follow PEMDAS order, not reading order! Division has higher priority than subtraction, so $ 9:3 $ must be calculated first.

Q: What does the colon symbol mean?

The colon (:) means division, just like the ÷ symbol. So $ 9:3 $ means 9 divided by 3, which equals 3.

Q: How do I remember the order of operations?

Use PEMDAS: Please Excuse My Dear Aunt Sally. This helps you remember: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

Q: What if I got 6 as my answer?

You probably calculated $ 9-(3-3) $ instead! Remember: without parentheses, division comes before subtraction. The correct steps are $ 9:3=3 $, then $ 3-3=0 $.

Order of Operations with Division First

$9:3-3=$

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Step-by-step video solution

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00:00 Solve

00:02 Always solve multiplication and division before addition and subtraction

00:05 Let's continue solving

00:07 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$9:3-3=$

Step-by-step solution

According to the rules of the order of operations, we first solve the division exercise:

$9:3=3$

Now we obtain the exercise:

$3-3=0$

Final Answer

$0$

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Division comes before subtraction in order of operations
Technique: First calculate $9:3=3$ , then subtract: $3-3=0$
Check: Verify by following PEMDAS step-by-step: division first, then subtraction ✓

Common Mistakes

Avoid these frequent errors

Working left to right without considering order of operations
Don't solve $9:3-3$ as $9:(3-3) = 9:0$ = undefined! This ignores PEMDAS and creates impossible division by zero. Always do division before subtraction following proper order of operations.

Practice Quiz

Test your knowledge with interactive questions

$$ 94+12+6= $$

FAQ

Everything you need to know about this question

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

Mathematical expressions follow PEMDAS order, not reading order! Division has higher priority than subtraction, so $9:3$ must be calculated first.

What does the colon symbol mean?

The colon (:) means division, just like the ÷ symbol. So $9:3$ means 9 divided by 3, which equals 3.

How do I remember the order of operations?

Use PEMDAS: Please Excuse My Dear Aunt Sally. This helps you remember: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

What if I got 6 as my answer?

You probably calculated $9-(3-3)$ instead! Remember: without parentheses, division comes before subtraction. The correct steps are $9:3=3$ , then $3-3=0$ .

Is there a way to double-check my work?

Yes! Work through each operation step by step, writing down intermediate results: $9:3-3 = 3-3 = 0$ . This shows your thinking clearly.

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