Solve 60÷(10×2): Order of Operations Practice

Q: Why do I have to do the multiplication in parentheses first?

The order of operations (PEMDAS/BODMAS) requires you to calculate parentheses first. Without parentheses, 60÷10×2 would equal 12, but the parentheses change the meaning completely!

Q: Can I write this as a fraction to make it easier?

Absolutely! Writing $ \frac{60}{10\times2} $ makes it clearer that you're dividing 60 by the entire result of 10×2, not just dividing by 10 first.

Q: What if I accidentally calculated 60÷10 first and got 12?

This is a very common mistake! Remember that parentheses change everything. 60÷10×2 = 12, but 60÷(10×2) = 3. The parentheses make the multiplication happen first.

Q: How can I remember to do parentheses first?

Think of parentheses as a protective bubble - whatever is inside must be calculated first before anything can touch it. Use PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

Q: Is there another way to solve this problem?

Yes! You can factor the numerator: $ \frac{60}{10\times2} = \frac{10\times6}{10\times2} $. Then cancel the common factor of 10 to get $ \frac{6}{2} = 3 $.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Let's write division as a fraction

00:08 Let's factor 60 into 6 and 10

00:18 Let's reduce what we can

00:26 Let's factor 6 into 3 and 2

00:30 Let's reduce what we can

00:33 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$60:(10\times2)=$

2

Step-by-step solution

We write the exercise in fraction form:

$\frac{60}{10\times2}=$

Let's separate the numerator into a multiplication exercise:

$\frac{10\times6}{10\times2}=$

We simplify the 10 in the numerator and denominator, obtaining:

$\frac{6}{2}=3$

3

Final Answer

$3$

Key Points to Remember

Essential concepts to master this topic

Order Rule: Always calculate parentheses first, then division
Technique: Simplify $\frac{60}{10\times2}$ by factoring numerator as $10\times6$
Check: Substitute back: $60\div(10\times2) = 60\div20 = 3$ ✓

Common Mistakes

Avoid these frequent errors

Dividing 60 by 10 first, then multiplying by 2
Don't calculate 60÷10×2 = 6×2 = 12! This ignores the parentheses and gives the wrong order of operations. Always calculate what's inside parentheses first: 10×2 = 20, then 60÷20 = 3.

Practice Quiz

Test your knowledge with interactive questions

$$ 100-(5+55)= $$

FAQ

Everything you need to know about this question

Why do I have to do the multiplication in parentheses first?

+

The order of operations (PEMDAS/BODMAS) requires you to calculate parentheses first. Without parentheses, 60÷10×2 would equal 12, but the parentheses change the meaning completely!

Can I write this as a fraction to make it easier?

+

Absolutely! Writing $\frac{60}{10\times2}$ makes it clearer that you're dividing 60 by the entire result of 10×2, not just dividing by 10 first.

What if I accidentally calculated 60÷10 first and got 12?

+

This is a very common mistake! Remember that parentheses change everything. 60÷10×2 = 12, but 60÷(10×2) = 3. The parentheses make the multiplication happen first.

How can I remember to do parentheses first?

+

Think of parentheses as a protective bubble - whatever is inside must be calculated first before anything can touch it. Use PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

Is there another way to solve this problem?

+

Yes! You can factor the numerator: $\frac{60}{10\times2} = \frac{10\times6}{10\times2}$ . Then cancel the common factor of 10 to get $\frac{6}{2} = 3$ .

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Solve 60÷(10×2): Order of Operations Practice

Division with Parenthetical Operations

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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 have to do the multiplication in parentheses first?

Can I write this as a fraction to make it easier?

What if I accidentally calculated 60÷10 first and got 12?

How can I remember to do parentheses first?

Is there another way to solve this problem?

🌟 Unlock Your Math Potential

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