Solve the Arithmetic Expression: 4+0+0÷5 Step by Step

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

The order of operations (PEMDAS/BODMAS) requires division before addition. This ensures everyone gets the same answer! Division has higher priority than addition.

Q: What happens when I divide zero by any number?

Dividing zero by any non-zero number always equals zero. Think of it as: if you have 0 cookies to share among 5 people, each person gets 0 cookies!

Q: Would the answer change if the expression was written differently?

No! Whether written as $ 4 + 0 + 0 \div 5 $ or $ 4 + 0 + 0:5 $, the colon (:) means division, so the result is still 4.

Q: How do I remember to do division before addition?

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

Q: What if there were parentheses around the addition?

If it was $ (4 + 0 + 0) \div 5 $, then you'd do the parentheses first: $ 4 \div 5 = 0.8 $. Parentheses always come first in order of operations!

Order of Operations with Division by Zero

$4+0+0:5=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Always solve multiplication and division before addition and subtraction

00:07 0 divided by any number is always equal to 0

00:14 Let's continue calculating, any number plus 0 equals the number itself

00:26 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

$4+0+0:5=$

Step-by-step solution

To solve this problem, we'll proceed as follows:

Step 1: Evaluate the division operation. We have $0:5$ , which means $0 \div 5$ . The result of dividing zero by any nonzero number is zero. Therefore, $0 \div 5 = 0$ .
Step 2: Substitute the result from Step 1 back into the expression. The expression now becomes $4 + 0 + 0$ .
Step 3: Perform the addition. We first add $4 + 0$ , which equals $4$ , and then add the remaining $0$ , resulting again in $4$ .

By following these steps in line with the order of operations, the value of the expression is $4$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Division comes before addition in order of operations
Technique: Evaluate $0 \div 5 = 0$ first, then add left to right
Check: Final expression becomes $4 + 0 + 0 = 4$ ✓

Common Mistakes

Avoid these frequent errors

Adding before dividing
Don't solve left to right as $4 + 0 + 0 \div 5 = 4 \div 5$ = 0.8! This ignores order of operations and gives the wrong answer. Always complete division first, then addition from left to right.

Practice Quiz

Test your knowledge with interactive questions

$$ 2+0= $$

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/BODMAS) requires division before addition. This ensures everyone gets the same answer! Division has higher priority than addition.

What happens when I divide zero by any number?

Dividing zero by any non-zero number always equals zero. Think of it as: if you have 0 cookies to share among 5 people, each person gets 0 cookies!

Would the answer change if the expression was written differently?

No! Whether written as $4 + 0 + 0 \div 5$ or $4 + 0 + 0:5$ , the colon (:) means division, so the result is still 4.

How do I remember to do division before addition?

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

What if there were parentheses around the addition?

If it was $(4 + 0 + 0) \div 5$ , then you'd do the parentheses first: $4 \div 5 = 0.8$ . Parentheses always come first in order of operations!

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