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

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\( 0.25-0.1= \)

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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