Solve the Expression: 2-0+0÷10 Step by Step

Q: Why do I solve the division first instead of going left to right?

PEMDAS (order of operations) tells us that division has higher priority than addition and subtraction. Always complete all multiplication and division first, then handle addition and subtraction from left to right.

Q: What does 0 ÷ 10 equal and why?

Zero divided by any non-zero number always equals zero. Think of it as: How many groups of 10 can you make from 0 items? The answer is 0 groups!

Q: Do I work left to right after doing the division?

Yes! After handling division first, you work left to right for addition and subtraction since they have equal priority. So $ 2 - 0 + 0 $ becomes $ (2 - 0) + 0 = 2 + 0 = 2 $.

Q: How can I remember the order of operations?

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

Order of Operations with Division by Ten

$2-0+0:10=$

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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

00:08 0 divided by any number is always equal to 0

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

00:30 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

$2-0+0:10=$

Step-by-step solution

To solve this problem, we will follow the order of operations:

Step 1: Evaluate the division $\frac{0}{10}$ .
This results in $0$ , as any number divided by another non-zero number is zero.
Step 2: Substitute back into the expression: $2 - 0 + 0$ .
Step 3: Calculate $2 - 0$ , resulting in $2$ .
Step 4: Finally, add $0$ , so the expression remains $2$ .

Therefore, the solution to the problem is $2$ , which corresponds to choice 3.

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Division comes before addition and subtraction operations
Technique: Calculate $0 \div 10 = 0$ first, then $2 - 0 + 0$
Check: Work left to right after division: $2 - 0 = 2$ , then $2 + 0 = 2$ ✓

Common Mistakes

Avoid these frequent errors

Working strictly left to right without considering order of operations
Don't calculate 2 - 0 + 0 ÷ 10 as ((2 - 0) + 0) ÷ 10 = 0.2! This ignores that division has higher priority than addition and subtraction. Always handle division first, then work left to right for same-priority operations.

Practice Quiz

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$1\times1000=$

FAQ

Everything you need to know about this question

Why do I solve the division first instead of going left to right?

PEMDAS (order of operations) tells us that division has higher priority than addition and subtraction. Always complete all multiplication and division first, then handle addition and subtraction from left to right.

What does 0 ÷ 10 equal and why?

Zero divided by any non-zero number always equals zero. Think of it as: How many groups of 10 can you make from 0 items? The answer is 0 groups!

Do I work left to right after doing the division?

Yes! After handling division first, you work left to right for addition and subtraction since they have equal priority. So $2 - 0 + 0$ becomes $(2 - 0) + 0 = 2 + 0 = 2$ .

How can I remember the order of operations?

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

What if the problem used different numbers?

The same rules apply! Always do division first, then work left to right for addition and subtraction. For example: $5 - 3 + 6 \div 2 = 5 - 3 + 3 = 2 + 3 = 5$ .

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