Evaluate the Expression: 10 ÷ 2 + 1 Step-by-Step

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

While we read from left to right, math operations follow PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). This ensures everyone gets the same answer!

Q: What if I accidentally added first?

If you calculated $ 2 + 1 = 3 $ first, you'd get $ 10 ÷ 3 = 3.33... $ instead of 6. Always remember: division before addition!

Q: How do I remember the order of operations?

Use the acronym PEMDAS: "Please Excuse My Dear Aunt Sally." This helps you remember: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

Q: Are multiplication and division really equal priority?

Yes! When you have both multiplication and division, work from left to right. Same rule applies to addition and subtraction - they have equal priority too.

Order of Operations with Mixed Arithmetic

$10 \div 2 + 1 =$

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Understand the problem

$10 \div 2 + 1 =$

Step-by-step solution

To solve $10 \div 2 + 1$ , follow the order of operations:

First, perform the division: $10 \div 2 = 5$ .
Then, add 1 to the result: $5 + 1 = 6$ .

Thus, the answer is 6.

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Division comes before addition in order of operations
Technique: First calculate $10 ÷ 2 = 5$ , then add 1
Check: Work left to right following PEMDAS: division first gives 6 ✓

Common Mistakes

Avoid these frequent errors

Adding before dividing
Don't calculate 2 + 1 = 3 first, then divide 10 ÷ 3 = 3.33! This ignores the order of operations and gives the wrong answer. Always follow PEMDAS: division comes before addition.

Practice Quiz

Test your knowledge with interactive questions

$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

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

While we read from left to right, math operations follow PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). This ensures everyone gets the same answer!

What if I accidentally added first?

If you calculated $2 + 1 = 3$ first, you'd get $10 ÷ 3 = 3.33...$ instead of 6. Always remember: division before addition!

How do I remember the order of operations?

Use the acronym PEMDAS: "Please Excuse My Dear Aunt Sally." This helps you remember: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

Are multiplication and division really equal priority?

Yes! When you have both multiplication and division, work from left to right. Same rule applies to addition and subtraction - they have equal priority too.

What would happen with parentheses like (10 ÷ 2) + 1?

Parentheses don't change this problem since division already comes first! But $10 ÷ (2 + 1)$ would give a different answer: $10 ÷ 3 = 3.33...$

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