Solve 5+4×2: Order of Operations Practice Problem

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

Mathematics has specific rules called order of operations that tell us which calculations to do first. These rules ensure everyone gets the same correct answer every time!

Q: What does PEMDAS mean and how do I remember it?

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Remember: "Please Excuse My Dear Aunt Sally" - multiplication comes before addition!

Q: What if there were parentheses like (5+4)×2?

Then you would do the addition first! Parentheses are the first step in PEMDAS, so $ (5+4)\times2 = 9\times2 = 18 $.

Q: Are there other examples like this one?

Yes! Try $ 3+2\times4 $ (answer: 11) or $ 6+5\times2 $ (answer: 16). Always do the multiplication first, then add!

Q: How can I check if my answer is right?

Add parentheses around the multiplication: $ 5+(4\times2) = 5+8 = 13 $. If you get the same answer, you're correct!

Order of Operations with Mixed Addition and Multiplication

$5+4\times2=$

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Understand the problem

$5+4\times2=$

Step-by-step solution

To solve the expression $5 + 3 \times 2$ , we follow the order of operations (PEMDAS/BODMAS).

1. First, we perform the multiplication:

$4\times2=8$

2. Next, we add the result to 5:

$5+8=13$

Therefore, the final answer is $13$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Follow PEMDAS - multiplication comes before addition always
Technique: Calculate $4\times2=8$ first, then $5+8=13$
Check: Verify by working left to right with parentheses: $5+(4\times2)=5+8=13$ ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following order of operations
Don't solve 5+4×2 by doing 5+4=9 first, then 9×2=18! This ignores the order of operations and gives 18 instead of 13. Always do multiplication before addition, even when addition appears first in the expression.

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 specific rules called order of operations that tell us which calculations to do first. These rules ensure everyone gets the same correct answer every time!

What does PEMDAS mean and how do I remember it?

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Remember: "Please Excuse My Dear Aunt Sally" - multiplication comes before addition!

What if there were parentheses like (5+4)×2?

Then you would do the addition first! Parentheses are the first step in PEMDAS, so $(5+4)\times2 = 9\times2 = 18$ .

Are there other examples like this one?

Yes! Try $3+2\times4$ (answer: 11) or $6+5\times2$ (answer: 16). Always do the multiplication first, then add!

How can I check if my answer is right?

Add parentheses around the multiplication: $5+(4\times2) = 5+8 = 13$ . If you get the same answer, you're correct!

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