Solve 10-(10-4):2 Using Order of Operations

Order of Operations with Division Priority

10(104):2= 10-(10-4):2=

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Step-by-step video solution

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00:07 Let's solve this math problem together.
00:10 First, we always work on what's inside the parentheses.
00:15 Next, do any multiplication or division. These come before adding and subtracting.
00:21 And here's the answer! Well done, everyone!

Step-by-step written solution

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1

Understand the problem

10(104):2= 10-(10-4):2=

2

Step-by-step solution

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of them,

We will start by simplifying the expression inside the parentheses and calculate the result of the subtraction within them, then - since division comes before subtraction, we will first perform the division operation and then perform the subtraction operation:

10(104):2=106:2=103=7 10-(10-4):2= \\ 10-6:2= \\ 10-3= \\ 7

Therefore, the correct answer is answer B.

3

Final Answer

7

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Parentheses first, then division before subtraction
  • Technique: Calculate (10-4) = 6, then 6÷2 = 3, finally 10-3
  • Check: Work left to right: 10-6÷2 becomes 10-3 = 7 ✓

Common Mistakes

Avoid these frequent errors
  • Performing subtraction before division
    Don't subtract 10-6 first and then divide by 2 = wrong answer of 2! Division has higher priority than subtraction in order of operations. Always complete division before subtraction when no parentheses group them.

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

\( 30 - (10 + 7) = \)

FAQ

Everything you need to know about this question

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

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Order of operations isn't left-to-right! PEMDAS tells us that division comes before subtraction, so even though subtraction appears first, we must do the division 6÷2 = 3 before subtracting.

What if I got 2 as my answer?

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You probably calculated (10-6)÷2 = 2, but that's not what the expression shows! The parentheses only group (10-4), not (10-6).

How do I remember which operations come first?

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Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Division comes before subtraction!

What's the difference between ÷ and : symbols?

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Both symbols mean division! The : symbol is commonly used in some countries instead of ÷. So 6:2 means the same as 6÷2 = 3.

Can I use a calculator for this?

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Yes, but be careful! Make sure your calculator follows order of operations correctly. Some basic calculators work left-to-right and might give you the wrong answer of 2 instead of 7.

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