Solve 24:2-4-3:3: Order of Operations Practice

Order of Operations with Division Notation

Solve the following problem using the order of operations:

24:243:3= 24:2-4-3:3=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:11 Let's solve this math expression together.
00:14 Remember, do multiplication and division first, before any addition or subtraction.
00:21 Take it one step at a time. Keep going!
00:25 Do the division step now before moving on.
00:31 Solve the rest from left to right. You're doing great!
00:36 And there you have it! That's how we solve the problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following problem using the order of operations:

24:243:3= 24:2-4-3:3=

2

Step-by-step solution

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

(24:2)4(3:3)= (24:2)-4-(3:3)=

Let's solve the exercises in parentheses:

24:2=12 24:2=12

3:3=1 3:3=1

Now we have the expression:

1241= 12-4-1=

Let's solve the expression from left to right:

124=8 12-4=8

81=7 8-1=7

3

Final Answer

7

Key Points to Remember

Essential concepts to master this topic
  • Rule: Division and multiplication are performed before addition and subtraction
  • Technique: Calculate 24:2=12 24:2=12 and 3:3=1 3:3=1 first
  • Check: Work left to right: 12-4-1 = 8-1 = 7 ✓

Common Mistakes

Avoid these frequent errors
  • Working strictly left to right without considering operation priority
    Don't solve 24:2-4-3:3 as ((24:2)-4)-3):3 = 5:3! This ignores order of operations and gives the wrong answer. Always complete all multiplication and division first, then work left to right with addition and subtraction.

Practice Quiz

Test your knowledge with interactive questions

\( 3 + 4 \times 2 = \)

FAQ

Everything you need to know about this question

What does the colon (:) symbol mean in math?

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The colon (:) is another way to write division, just like the ÷ symbol. So 24:2 24:2 means the same as 24÷2 24 ÷ 2 or 24 divided by 2.

Why don't I just work from left to right?

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The order of operations rules tell us which operations to do first! Without these rules, everyone would get different answers for the same problem. Division and multiplication always come before addition and subtraction.

How do I remember which operations go first?

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Use PEMDAS or BODMAS! These help you remember:

  • Parentheses/Brackets first
  • Exponents/Orders next
  • Multiplication and Division (left to right)
  • Addition and Subtraction (left to right)

What if I get a different answer when checking?

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If your check doesn't work, go back and carefully redo each step. Make sure you're doing division operations first, then working left to right with the subtraction steps.

Can I use parentheses to help me solve this?

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Absolutely! Adding parentheses like (24:2)4(3:3) (24:2)-4-(3:3) can help you see which operations to do first. This is a great strategy for avoiding mistakes!

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