Solve: 25 × 2 - 13 + 18 ÷ 6 Using Order of Operations

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

Mathematics has a special order that everyone follows worldwide! Without PEMDAS, the same expression could have different answers depending on who solves it. Following the order ensures everyone gets the same correct answer.

Q: What if I forget the order of operations?

Remember PEMDAS: Please Excuse My Dear Aunt Sally! Or think: Multiplication and Division are stronger than Addition and Subtraction, so they go first.

Q: Do I have to do all multiplication before all division?

No! Multiplication and Division have equal priority. Work from left to right when you see them together. Same rule applies to Addition and Subtraction.

Q: How do I check if 40 is really the right answer?

Trace through each step: $ 25 \times 2 = 50 $, $ 18 \div 6 = 3 $, then $ 50 - 13 + 3 = 37 + 3 = 40 $. Each step should make sense!

Q: What happens if I get a different answer?

Go back and check your order of operations! Most mistakes happen when students do addition or subtraction before finishing all multiplication and division. Take it slow and follow PEMDAS.

Order of Operations with Mixed Calculations

Compute the solution to the equation:

$25 \times 2 - 13 + 18 \div 6$

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Understand the problem

Compute the solution to the equation:

$25 \times 2 - 13 + 18 \div 6$

Step-by-step solution

First, perform the multiplication: $25 \times 2 = 50$

Next, perform the division: $18 \div 6 = 3$ .

Then, perform the subtraction and addition: $50 - 13 + 3 = 40$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Follow PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction left to right
Technique: First calculate $25 \times 2 = 50$ and $18 \div 6 = 3$
Check: Work through: 50 - 13 + 3 = 37 + 3 = 40 ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following order of operations
Don't solve 25 × 2 - 13 + 18 ÷ 6 as ((25 × 2) - 13 + 18) ÷ 6 = 57 ÷ 6 = 9.5! This ignores PEMDAS and groups operations incorrectly. Always complete all multiplication and division first before doing addition and subtraction.

Practice Quiz

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$3 + 4 \times 2 =$

FAQ

Everything you need to know about this question

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

Mathematics has a special order that everyone follows worldwide! Without PEMDAS, the same expression could have different answers depending on who solves it. Following the order ensures everyone gets the same correct answer.

What if I forget the order of operations?

Remember PEMDAS: Please Excuse My Dear Aunt Sally! Or think: Multiplication and Division are stronger than Addition and Subtraction, so they go first.

Do I have to do all multiplication before all division?

No! Multiplication and Division have equal priority. Work from left to right when you see them together. Same rule applies to Addition and Subtraction.

How do I check if 40 is really the right answer?

Trace through each step: $25 \times 2 = 50$ , $18 \div 6 = 3$ , then $50 - 13 + 3 = 37 + 3 = 40$ . Each step should make sense!

What happens if I get a different answer?

Go back and check your order of operations! Most mistakes happen when students do addition or subtraction before finishing all multiplication and division. Take it slow and follow PEMDAS.

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