Solve the Expression: Evaluating 9:3+2 Step by Step

Q: What does the colon (:) symbol mean in math?

The colon (:) is another way to write division, just like ÷ or /. So $ 9:3 $ means the same as $ 9÷3 $ or $ 9/3 $.

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

You can solve from left to right, but only after following PEMDAS! Division has higher priority than addition, so you must do $ 9:3 $ first, then add 2 to that result.

Q: What if I got 1.8 as my answer?

If you got 1.8, you likely added first: $ 3+2=5 $, then divided: $ 9:5=1.8 $. Remember: division always comes before addition in the order of operations!

Q: How do I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Since there are no parentheses or exponents here, division comes first!

Q: Is this the same as 9 ÷ 3 + 2?

Yes, exactly! The colon (:) and division symbol (÷) mean the same thing. So $ 9:3+2 $ is identical to $ 9÷3+2 $ and both equal 5.

Order of Operations with Division Symbol

$9:3+2=$

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Understand the problem

$9:3+2=$

Step-by-step solution

According to the order of operations, both addition and subtraction can be solved from left to right. So, first subtract 3 from 9:

$9:3=3$

Then add 2 to the result:

$3+2=5$

Therefore, the correct answer is:

$5$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Division and addition follow PEMDAS order left to right
Technique: First divide: $9:3=3$ , then add: $3+2=5$
Check: Verify by working step-by-step: division first gives 3, plus 2 equals 5 ✓

Common Mistakes

Avoid these frequent errors

Adding before dividing
Don't add 3+2 first to get 5, then divide 9:5 = 1.8! This ignores the order of operations and gives the wrong answer. Always follow PEMDAS: division comes before addition, so divide 9:3 first, then add 2.

Practice Quiz

Test your knowledge with interactive questions

$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

What does the colon (:) symbol mean in math?

The colon (:) is another way to write division, just like ÷ or /. So $9:3$ means the same as $9÷3$ or $9/3$ .

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

You can solve from left to right, but only after following PEMDAS! Division has higher priority than addition, so you must do $9:3$ first, then add 2 to that result.

What if I got 1.8 as my answer?

If you got 1.8, you likely added first: $3+2=5$ , then divided: $9:5=1.8$ . Remember: division always comes before addition in the order of operations!

How do I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Since there are no parentheses or exponents here, division comes first!

Is this the same as 9 ÷ 3 + 2?

Yes, exactly! The colon (:) and division symbol (÷) mean the same thing. So $9:3+2$ is identical to $9÷3+2$ and both equal 5.

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