Solve the Expression: 20-(1+9:9) Using Order of Operations

Order of Operations with Division Notation

20−(1+9:9)= 20-(1+9:9)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this math problem together.
00:10 Remember, always start with the parentheses.
00:14 Next, do multiplication and division before addition and subtraction.
00:19 Calculate inside the parentheses first, then finish the rest of the expression.
00:25 And there you have the solution! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

20−(1+9:9)= 20-(1+9:9)=

2

Step-by-step solution

First, we solve the exercise in the parentheses

(1+9:9)= (1+9:9)=

According to the order of operations, we first divide and then add:

1+1=2 1+1=2

Now we obtain the exercise:

20−2=18 20-2=18

3

Final Answer

18 18

Key Points to Remember

Essential concepts to master this topic
  • Rule: Follow PEMDAS - solve parentheses first, then division inside
  • Technique: Calculate 9:9=1 9:9 = 1 , then 1+1=2 1+1 = 2
  • Check: Substitute back: 20−2=18 20-2 = 18 matches answer ✓

Common Mistakes

Avoid these frequent errors
  • Calculating left to right without following order
    Don't calculate 20-1 = 19 first then 19+9 = 28 then 28:9 = 3⅑! This ignores parentheses and order rules completely. Always solve what's in parentheses first using PEMDAS order.

Practice Quiz

Test your knowledge with interactive questions

What is the result of the following equation?

\( 36-4\div2 \)

FAQ

Everything you need to know about this question

What does the colon symbol : mean in math?

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The colon symbol : means division, just like ÷. So 9:9 9:9 is the same as 9÷9=1 9 ÷ 9 = 1 .

Why do I solve the parentheses first?

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PEMDAS rules! Parentheses always come first, then you follow order of operations inside the parentheses. This ensures everyone gets the same answer.

What order do I follow inside the parentheses?

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Inside parentheses, follow PEMDAS: division comes before addition. So calculate 9:9=1 9:9 = 1 first, then 1+1=2 1+1 = 2 .

How can I remember the order of operations?

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Use PEMDAS: Please Excuse My Dear Aunt Sally

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

What if I got 20 as my answer?

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If you got 20, you likely forgot to do anything! Remember: you must solve the parentheses (1+9:9)=2 (1+9:9) = 2 first, then subtract from 20.

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