Solve (85+5)÷10: Order of Operations Practice

Order of Operations with Parentheses

Solve the following expression:

(85+5):10= (85+5):10=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this expression together.
00:09 Remember, we always start by solving whatever is inside the parentheses first.
00:23 Dividing by ten moves the decimal point one space to the left.
00:28 We'll use this formula in our exercise.
00:32 And there you have it, that's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following expression:

(85+5):10= (85+5):10=

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 therefore start by simplifying the expression inside the parentheses and calculate the result of the addition within them, then - we will first perform the division operation:

(85+5):10=90:10=9 (85+5):10= \\ 90:10= \\ 9

Therefore, the correct answer is answer A.

3

Final Answer

9 9

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Parentheses always come first before any other operations
  • Technique: Calculate (85+5) = 90 first, then divide 90÷10
  • Check: Verify 9×10 = 90 and 90-5 = 85 ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following order of operations
    Don't calculate 85+5÷10 by doing 85+0.5 = 85.5! This ignores parentheses and gives the wrong answer. Always complete operations inside parentheses first, then follow PEMDAS order.

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

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Math has a specific order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). This ensures everyone gets the same answer! Without it, (85+5)÷10 (85+5)÷10 could have multiple interpretations.

What if there are no parentheses in the problem?

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Even without parentheses, you still follow PEMDAS order! Multiplication and division come before addition and subtraction. For example: 6+4×2=6+8=14 6+4×2 = 6+8 = 14 , not 10×2=20 10×2 = 20 .

How do I remember the order of operations?

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Use the memory trick "Please Excuse My Dear Aunt Sally" for PEMDAS:

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

What happens if I get a different answer?

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Double-check each step! Most mistakes happen when students skip the parentheses or calculate in the wrong order. For this problem, always calculate 85+5=90 85+5 = 90 first, then 90÷10=9 90÷10 = 9 .

Are there any shortcuts for problems like this?

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Not really - the step-by-step approach is your best friend! Rushing through order of operations problems often leads to careless errors. Take your time with each step and you'll get the right answer.

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