Solve the Expression: 4:2+2 Using Order of Operations

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

The colon (:) is another way to write division, just like the ÷ symbol. So $ 4:2 $ means 4 divided by 2, which equals 2.

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

Mathematics has a special order called PEMDAS (or BODMAS). Division and multiplication come before addition and subtraction, no matter where they appear in the expression.

Q: How do I remember the order of operations?

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Division comes before addition!

Q: Is there a way to check my work?

Yes! Follow PEMDAS step by step: $ 4:2+2 = 2+2 = 4 $. You can also use parentheses to show the order: $ (4:2)+2 = 2+2 = 4 $.

Order of Operations with Division Notation

$4:2+2=$

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Step-by-step video solution

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00:00 Solve

00:03 Always solve multiplication and division before addition and subtraction

00:06 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$4:2+2=$

Step-by-step solution

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

$4:2=2$

Now we obtain the exercise:

$2+2=4$

Final Answer

$4$

Key Points to Remember

Essential concepts to master this topic

Rule: Division comes before addition in the order of operations
Technique: First calculate 4:2 = 2, then add 2 + 2 = 4
Check: Verify by following PEMDAS: division first, addition second gives 4 ✓

Common Mistakes

Avoid these frequent errors

Adding before dividing
Don't solve left to right without considering order of operations: 4:(2+2) = 4:4 = 1! This ignores that division has higher priority than addition. Always complete division operations before addition operations.

Practice Quiz

Test your knowledge with interactive questions

Solve:

$$ -5+4+1-3 $$

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 the ÷ symbol. So $4:2$ means 4 divided by 2, which equals 2.

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

Mathematics has a special order called PEMDAS (or BODMAS). Division and multiplication come before addition and subtraction, no matter where they appear in the expression.

How do I remember the order of operations?

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Division comes before addition!

What if I got 2 as my answer?

If you got 2, you likely added first: 2+2=4, then 4:4=1. Remember that division has higher priority than addition, so calculate 4:2=2 first, then 2+2=4.

Is there a way to check my work?

Yes! Follow PEMDAS step by step: $4:2+2 = 2+2 = 4$ . You can also use parentheses to show the order: $(4:2)+2 = 2+2 = 4$ .

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