Solve the Expression: 4×2-5+4 Using Order of Operations

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

Mathematics has a special order of operations (PEMDAS) that everyone follows worldwide. If we all solved left to right, we'd get different answers for the same problem!

Q: After doing multiplication first, do I still go left to right?

Yes! Once you've handled multiplication and division, solve addition and subtraction from left to right. So 8-5+4 becomes 3+4 = 7.

Q: What if I get a different answer?

Double-check your steps! Make sure you did $ 4×2 $ first to get 8, then solved $ 8-5+4 $ from left to right: 8-5=3, then 3+4=7.

Q: Are multiplication and division really equal priority?

Yes! Multiplication and division have the same priority, just like addition and subtraction. When you have both, work from left to right.

Order of Operations with Mixed Integer Operations

$4\times2-5+4=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Always solve multiplication and division before addition and subtraction

00:08 Continue solving according to proper order of operations, from left to right

00:15 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$4\times2-5+4=$

Step-by-step solution

According to the rules of the order of operations, we first solve the multiplication exercise:

$4\times2=8$

Now we obtain the exercise:

$8-5+4=$

We solve the exercise from left to right:

$8-5=3$

$3+4=7$

Final Answer

$7$

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Multiplication comes before addition and subtraction
Technique: First calculate 4×2=8, then solve 8-5+4 left to right
Check: Verify by substituting: 8-5+4 = 3+4 = 7 ✓

Common Mistakes

Avoid these frequent errors

Solving operations left to right without considering order
Don't calculate 4×2-5+4 as (4×2-5)+4 = (8-5)+4 = 3+4 = 7... wait, that's actually correct! The real mistake is doing 4×(2-5)+4 = 4×(-3)+4 = -12+4 = -8! This ignores that multiplication comes first. Always do multiplication before addition and subtraction, then work left to right.

Practice Quiz

Test your knowledge with interactive questions

$$ 94+12+6= $$

FAQ

Everything you need to know about this question

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

Mathematics has a special order of operations (PEMDAS) that everyone follows worldwide. If we all solved left to right, we'd get different answers for the same problem!

What does PEMDAS stand for again?

Parentheses, Exponents, Multiplication, Division, Addition, Ssubtraction. Remember: Please Excuse My Dear Aunt Sally!

After doing multiplication first, do I still go left to right?

Yes! Once you've handled multiplication and division, solve addition and subtraction from left to right. So 8-5+4 becomes 3+4 = 7.

What if I get a different answer?

Double-check your steps! Make sure you did $4×2$ first to get 8, then solved $8-5+4$ from left to right: 8-5=3, then 3+4=7.

Are multiplication and division really equal priority?

Yes! Multiplication and division have the same priority, just like addition and subtraction. When you have both, work from left to right.

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