Solve Decimal Division: 1.1 ÷ 0.2 Step-by-Step

Decimal Division with Zero Elimination

1.1:0.2= 1.1:0.2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's multiply each factor by 10 to make division easier
00:21 We'll divide between the new numbers and calculate the quotient
00:27 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

1.1:0.2= 1.1:0.2=

2

Step-by-step solution

To solve this problem of dividing 1.1 1.1 by 0.2 0.2 , we can follow these steps:

  • Step 1: Remove the decimals by multiplying both numbers by 10. This makes the division simpler with whole numbers.
  • Step 2: Multiply 1.1 1.1 by 10 to get 11 11 , and multiply 0.2 0.2 by 10 to get 2 2 .
  • Step 3: Now perform the division 11÷2 11 \div 2 .

Let's perform the calculation:

  • Step 1: The division 11÷2 11 \div 2 is performed as follows:
  • Step 2: By dividing 11 11 by 2 2 , we note that 2 2 goes into 11 11 exactly 5 5 times to give 10 10 , with a remainder of 1 1 .
  • Step 3: Continue by considering the remainder as a decimal: 1.0÷2=0.5 1.0 \div 2 = 0.5 (as 2 2 goes into 10 10 exactly 5 5 times).
  • Step 4: Adding the whole and decimal parts together gives us 5+0.5=5.5 5 + 0.5 = 5.5 .

Therefore, the solution to the problem 1.1÷0.2 1.1 \div 0.2 is 5.5 5.5 .

3

Final Answer

5.5 5.5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiply both numbers by 10 to eliminate decimal points
  • Technique: Convert 1.1 ÷ 0.2 to 11 ÷ 2 for easier calculation
  • Check: Multiply result by divisor: 5.5 × 0.2 = 1.1 ✓

Common Mistakes

Avoid these frequent errors
  • Adding zeros incorrectly when converting decimals
    Don't just add zeros randomly or multiply by different powers of 10 = wrong numbers! This creates unequal transformations like 1.1 becoming 110 while 0.2 becomes 20. Always multiply both dividend and divisor by the same power of 10.

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?

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Multiplying both the dividend and divisor by the same number doesn't change the value of the division! It's like simplifying a fraction - 1.10.2=112 \frac{1.1}{0.2} = \frac{11}{2} gives the same result.

What if the decimals have different numbers of places?

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Always multiply by the highest power of 10 needed. For example, if dividing 1.25 by 0.5, multiply both by 100 to get whole numbers: 125 ÷ 50.

Can I just move the decimal points?

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

How do I know how many times to multiply by 10?

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Count the decimal places in both numbers and use the larger count. Here, 1.1 has 1 decimal place and 0.2 has 1, so multiply by 10¹ = 10.

What if my answer comes out as a whole number?

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That's perfectly normal! Some decimal divisions result in whole numbers. For example, 2.4 ÷ 0.8 = 3. Always double-check by multiplying back.

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