Solve 24:8:3 + 2·6·2 + 19: Order of Operations Challenge

Q: Why do I need to solve 24:8:3 before adding 19?

Order of operations (PEMDAS) requires you to complete all multiplication and division before addition. Think of it like clearing parentheses first!

Q: Should I solve 24:8:3 all at once or step by step?

Always work left to right for division: first $ 24÷8=3 $, then $ 3÷3=1 $. Don't try to divide 24 by both 8 and 3 at once!

Q: What if I get a different answer like 52 or 255?

These wrong answers usually come from incorrect order of operations. Double-check that you completed all multiplication and division first before adding 19.

Q: Is there a difference between : and ÷ symbols?

No difference at all! The colon (:) and division sign (÷) mean exactly the same thing. Both represent division operations.

Q: How can I remember the correct order?

ParenthesesExponentsMultiplication and Division (left to right)Addition and Subtraction (left to right)Remember: Please Excuse My Dear Aunt Sally!

Order of Operations with Mixed Division

$24:8:3+2\cdot6\cdot2+19=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve the following expression

00:03 According to order of operations, we always solve from left to right

00:06 Each time we'll address the leftmost operation first and solve it

00:09 Always solve multiplication and division before addition and subtraction

00:13 Continue to solve the expression from left to right, one operation at a time

00:25 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$24:8:3+2\cdot6\cdot2+19=\text{?}$

Step-by-step solution

According to the rules for the order of operations, we will place multiplication and division exercises in parentheses:

$(24:8:3)+(2\cdot6\cdot2)+19=$

We solve the division exercises in parentheses from left to right:

$24:8=3$

$3:3=1$

We solve the multiplication exercises in parentheses from left to right:

$2\times6=12$

$12\times2=24$

Now we get the exercise:

$1+24+19=$

We solve the exercise from left to right:

$1+24=25$

$25+19=44$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Follow PEMDAS - multiplication and division before addition
Technique: Solve 24:8:3 left to right: 24÷8=3, then 3÷3=1
Check: Final calculation 1+24+19=44 matches the correct answer ✓

Common Mistakes

Avoid these frequent errors

Solving operations left to right without considering precedence
Don't solve 24:8:3+2·6·2+19 straight left to right = 1+2·6·2+19 = wrong order! This ignores multiplication/division precedence and gives incorrect results. Always complete all multiplication and division operations first, then handle addition.

Practice Quiz

Test your knowledge with interactive questions

$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

Why do I need to solve 24:8:3 before adding 19?

Order of operations (PEMDAS) requires you to complete all multiplication and division before addition. Think of it like clearing parentheses first!

Should I solve 24:8:3 all at once or step by step?

Always work left to right for division: first $24÷8=3$ , then $3÷3=1$ . Don't try to divide 24 by both 8 and 3 at once!

What if I get a different answer like 52 or 255?

These wrong answers usually come from incorrect order of operations. Double-check that you completed all multiplication and division first before adding 19.

Is there a difference between : and ÷ symbols?

No difference at all! The colon (:) and division sign (÷) mean exactly the same thing. Both represent division operations.

How can I remember the correct order?

Parentheses
Exponents
Multiplication and Division (left to right)
Addition and Subtraction (left to right)

Remember: Please Excuse My Dear Aunt Sally!

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Solve 24:8:3 + 2·6·2 + 19: Order of Operations Challenge

Order of Operations with Mixed Division

❤️ 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 do I need to solve 24:8:3 before adding 19?

Should I solve 24:8:3 all at once or step by step?

What if I get a different answer like 52 or 255?

Is there a difference between : and ÷ symbols?

How can I remember the correct order?

🌟 Unlock Your Math Potential

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