Solve: 0.5 - 0.1 ÷ 0.2 | Decimal Operations Practice

Order of Operations with Decimal Division

0.5−0.1:0.2= 0.5-0.1:0.2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Always solve multiplication and division before addition and subtraction
00:09 Write division as a fraction
00:17 Break down 0.2 into factors 0.1 and 2
00:24 Simplify what we can
00:31 Convert from decimal to fraction
00:36 Subtract
00:40 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

0.5−0.1:0.2= 0.5-0.1:0.2=

2

Step-by-step solution

To solve the problem 0.5−0.1:0.2 0.5 - 0.1 : 0.2 , we'll follow these steps:

  • Step 1: Evaluate the Division
    First, we perform the division 0.1÷0.20.1 \div 0.2. This division evaluates to 0.5 0.5 because dividing 0.10.1 by 0.20.2 results in 0.10.2=0.5\frac{0.1}{0.2} = 0.5.
  • Step 2: Subtraction
    Next, subtract the result of the division from 0.50.5:
    0.5−0.5=0 0.5 - 0.5 = 0

Therefore, the solution to the expression 0.5−0.1:0.2 0.5 - 0.1 : 0.2 is 0 0 .

3

Final Answer

0

Key Points to Remember

Essential concepts to master this topic
  • Rule: Division comes before subtraction in order of operations
  • Technique: Calculate 0.1÷0.2=0.5 0.1 \div 0.2 = 0.5 first
  • Check: Substitute back: 0.5−0.5=0 0.5 - 0.5 = 0 ✓

Common Mistakes

Avoid these frequent errors
  • Calculating left to right without following order of operations
    Don't calculate 0.5 - 0.1 = 0.4 first, then divide by 0.2 = 2! This ignores PEMDAS rules and gives the wrong answer. Always perform division before subtraction following the correct order of operations.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

22.1-12.0

FAQ

Everything you need to know about this question

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

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Math has order of operations rules (PEMDAS) that must be followed! Division comes before subtraction, so you must calculate 0.1÷0.2 0.1 \div 0.2 first, then subtract.

How do I divide 0.1 by 0.2?

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Think of it as 0.10.2 \frac{0.1}{0.2} . You can multiply both by 10 to get 12=0.5 \frac{1}{2} = 0.5 . Or ask: how many 0.2s fit into 0.1? Answer: 0.5 times!

What if I get confused about the order?

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Use PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Since division comes before subtraction, always do the division step first!

Is there a trick to remember this?

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Yes! When you see mixed operations, circle or underline the multiplication and division first. Calculate those, then do addition and subtraction from left to right.

What does the colon symbol mean?

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The colon : symbol means division, just like the ÷ symbol. So 0.1:0.2 0.1 : 0.2 means 0.1÷0.2 0.1 \div 0.2 .

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