Solve the Expression: 2 + 0 ÷ 3 Step by Step

Q: Why do I divide first instead of going left to right?

The order of operations (PEMDAS) tells us that division and multiplication come before addition and subtraction, regardless of position. Always follow this rule!

Q: Is 0 ÷ 3 the same as 3 ÷ 0?

No! $ 0 ÷ 3 = 0 $ (zero divided by a number equals zero), but $ 3 ÷ 0 $ is undefined (you cannot divide by zero).

Q: How can I remember the order of operations?

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Some remember it as "Please Excuse My Dear Aunt Sally."

Q: What if there were parentheses in this problem?

Parentheses would change everything! If the problem were $ (2 + 0) ÷ 3 $, you'd calculate inside parentheses first: $ 2 ÷ 3 = 0.67 $.

Order of Operations with Division by Zero

Solve the following exercise:

$2+0:3=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following exercise:

$2+0:3=$

Step-by-step solution

According to the order of operations rules, we first divide and then add:

$2+(0:3)=$

$0:3=0$

$2+0=2$

Final Answer

$2$

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Division comes before addition in order of operations
Technique: Calculate $0 ÷ 3 = 0$ first, then add 2
Check: Final calculation $2 + 0 = 2$ gives correct answer ✓

Common Mistakes

Avoid these frequent errors

Adding first instead of following order of operations
Don't calculate 2 + 0 = 2, then divide by 3 = 0.67! This ignores PEMDAS and gives the wrong answer. Always do division before addition: calculate 0 ÷ 3 = 0 first, then 2 + 0 = 2.

Practice Quiz

Test your knowledge with interactive questions

What is the result of the following equation?

$36-4\div2$

FAQ

Everything you need to know about this question

Why do I divide first instead of going left to right?

The order of operations (PEMDAS) tells us that division and multiplication come before addition and subtraction, regardless of position. Always follow this rule!

What happens when I divide zero by any number?

When you divide zero by any non-zero number, the answer is always zero. For example: $0 ÷ 3 = 0$ , $0 ÷ 100 = 0$ .

Is 0 ÷ 3 the same as 3 ÷ 0?

No! $0 ÷ 3 = 0$ (zero divided by a number equals zero), but $3 ÷ 0$ is undefined (you cannot divide by zero).

How can I remember the order of operations?

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Some remember it as "Please Excuse My Dear Aunt Sally."

What if there were parentheses in this problem?

Parentheses would change everything! If the problem were $(2 + 0) ÷ 3$ , you'd calculate inside parentheses first: $2 ÷ 3 = 0.67$ .

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