Solve Decimal Division: 1.1 ÷ 0.5 Step-by-Step

Decimal Division with Place Value Conversion

1.1:0.5= 1.1:0.5=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Convert each decimal number to a whole number
00:24 We will use long division between the whole numbers
00:50 Convert the remainder from a fraction to a decimal and combine
01:08 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

1.1:0.5= 1.1:0.5=

2

Step-by-step solution

To solve the problem of dividing 1.11.1 by 0.50.5, let's simplify the operation by converting the decimals into whole numbers:

  • Step 1: Multiply both the dividend and the divisor by 1010 to eliminate the decimal points:
    1.1×10=111.1 \times 10 = 11
    0.5×10=50.5 \times 10 = 5

  • Step 2: Perform division on the whole numbers:
    11÷5=2.211 \div 5 = 2.2

  • Step 3: Interpret the result. We found that the answer to the division 1.1÷0.5=2.21.1 \div 0.5 = 2.2.

Therefore, the solution to the problem is 2.2 2.2 .

3

Final Answer

2.2 2.2

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiply both numbers by same power of 10 to eliminate decimals
  • Technique: Convert 1.1÷0.5 1.1 \div 0.5 to 11÷5=2.2 11 \div 5 = 2.2
  • Check: Verify 2.2×0.5=1.1 2.2 \times 0.5 = 1.1 by multiplication ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal points different amounts in dividend and divisor
    Don't move the decimal point 1 place in 1.1 but 1 place in 0.5 = wrong conversion like 11 ÷ 50! This creates an unequal transformation. Always multiply both numbers by the exact same power of 10 to maintain the ratio.

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 multiply both numbers by 10 instead of just removing decimals?

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Multiplying by the same amount keeps the division ratio identical! If you randomly remove decimals, you change the problem completely and get wrong answers.

What if the divisor has more decimal places than the dividend?

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Always use the number with more decimal places to decide your multiplier. If dividing by 0.25, multiply both by 100 to get whole numbers.

Can I just move the decimal point instead of multiplying?

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Yes! Moving the decimal point is the same as multiplying by 10, 100, etc. Just make sure you move it the same number of places in both numbers.

How do I know how many places to move the decimal?

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Count decimal places in both numbers, then use the larger count. For 1.1÷0.5 1.1 \div 0.5 , both have 1 decimal place, so move 1 place in each.

What if my answer doesn't look right?

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Always check by multiplying your answer by the divisor. If 2.2×0.5=1.1 2.2 \times 0.5 = 1.1 , then 1.1÷0.5=2.2 1.1 \div 0.5 = 2.2 is correct!

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