Solve Step-by-Step: 2+4×5÷2+3 Using Order of Operations

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

Mathematical operations have a hierarchy! Multiplication and division are stronger than addition and subtraction, so they must be done first. Think of it like a recipe - you can't skip steps!

Q: What does the colon (:) symbol mean in this problem?

The colon (:) means division, just like the ÷ symbol. So $ 4\times5:2 $ is the same as $ 4\times5÷2 $.

Q: How do I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Many students remember "Please Excuse My Dear Aunt Sally"!

Q: Should I use parentheses like in the explanation?

Adding parentheses like $ 2+(4\times5:2)+3 $ is a great strategy! It helps you visually see which operations to do first and prevents mistakes.

Q: What if I got 13 as my answer?

You likely calculated $ 2+4=6 $ first, then $ 6\times5=30 $, then $ 30:2=15 $, then $ 15-3=12 $. Remember: multiplication and division come before addition!

Q: Can I check my work somehow?

Yes! Break it down step by step: $ 4\times5=20 $, then $ 20:2=10 $, finally $ 2+10+3=15 $. If you get 15, you're correct!

Order of Operations with Mixed Arithmetic

$2+4\times5:2+3=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:08 Remember, multiplication and division come before addition and subtraction.

00:19 If you only have multiplication and division, solve them in order, from left to right.

00:35 Now, we only have addition and subtraction left.

00:39 These have the same priority, so solve them from left to right too.

00:44 And there you have it! That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$2+4\times5:2+3=$

Step-by-step solution

According to the order of operations rules, we first insert the multiplication and division exercises into parentheses:

$2+(4\times5:2)+3=$

Now let's solve the expression in parentheses from left to right:

$4\times5=20$

$20:2=10$

And we get the expression:

$2+10+3=$

Let's solve the expression from left to right:

$2+10=12$

$12+3=15$

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Multiplication and division before addition, left to right
Technique: Calculate $4\times5÷2 = 20÷2 = 10$ first
Check: Substitute result: $2+10+3 = 15$ ✓

Common Mistakes

Avoid these frequent errors

Solving operations from left to right without considering precedence
Don't calculate 2+4=6 first, then 6×5÷2+3 = wrong answer! This ignores order of operations and gives 18 instead of 15. Always identify multiplication and division first, then handle addition from left to right.

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 solve from left to right like reading?

Mathematical operations have a hierarchy! Multiplication and division are stronger than addition and subtraction, so they must be done first. Think of it like a recipe - you can't skip steps!

What does the colon (:) symbol mean in this problem?

The colon (:) means division, just like the ÷ symbol. So $4\times5:2$ is the same as $4\times5÷2$ .

How do I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Many students remember "Please Excuse My Dear Aunt Sally"!

Should I use parentheses like in the explanation?

Adding parentheses like $2+(4\times5:2)+3$ is a great strategy! It helps you visually see which operations to do first and prevents mistakes.

What if I got 13 as my answer?

You likely calculated $2+4=6$ first, then $6\times5=30$ , then $30:2=15$ , then $15-3=12$ . Remember: multiplication and division come before addition!

Can I check my work somehow?

Yes! Break it down step by step: $4\times5=20$ , then $20:2=10$ , finally $2+10+3=15$ . If you get 15, you're correct!

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Solve Step-by-Step: 2+4×5÷2+3 Using Order of Operations

Order of Operations with Mixed Arithmetic

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

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

What does the colon (:) symbol mean in this problem?

How do I remember the order of operations?

Should I use parentheses like in the explanation?

What if I got 13 as my answer?

Can I check my work somehow?

🌟 Unlock Your Math Potential

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