Solve Decimal Division: 0.36 ÷ 0.06 Step-by-Step

Decimal Division with Eliminating Decimals

0.36:0.06= 0.36:0.06=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 We'll multiply each factor by 100 to make division easier
00:27 We'll divide between the new numbers and calculate the quotient
00:30 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

0.36:0.06= 0.36:0.06=

2

Step-by-step solution

To solve the division problem 0.36÷0.06 0.36 \div 0.06 , we'll follow these steps:

  • Step 1: Eliminate the decimals:

Both 0.36 0.36 and 0.06 0.06 are decimal numbers. In order to make the division easier, multiply both numbers by 100 to remove the decimals:

  • 0.36×100=36 0.36 \times 100 = 36
  • 0.06×100=6 0.06 \times 100 = 6

Converting the problem, we now have 36÷6 36 \div 6 .

  • Step 2: Perform the division:

Now divide 36 36 by 6 6 :

36÷6=6 36 \div 6 = 6

Therefore, the solution to the problem 0.36÷0.06 0.36 \div 0.06 is 6 6 .

3

Final Answer

6 6

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiply both dividend and divisor by same power of 10
  • Technique: Convert 0.36÷0.06 0.36 \div 0.06 to 36÷6 36 \div 6 by multiplying by 100
  • Check: Verify 6×0.06=0.36 6 \times 0.06 = 0.36 matches original dividend ✓

Common Mistakes

Avoid these frequent errors
  • Multiplying dividend and divisor by different powers of 10
    Don't multiply 0.36 by 100 and 0.06 by 10 = wrong ratio! This changes the relationship between numbers and gives incorrect answers. Always multiply both numbers 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 do I multiply both numbers by the same amount?

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Multiplying both the dividend and divisor by the same number keeps the ratio unchanged! It's like having 62 \frac{6}{2} and 124 \frac{12}{4} - both equal 3.

How do I know which power of 10 to use?

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Count the maximum decimal places in either number. Since 0.36 and 0.06 both have 2 decimal places, multiply by 102=100 10^2 = 100 .

Can I just ignore the decimals and divide 36 by 6?

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Not directly! You must first convert properly by multiplying both numbers by the same power of 10. Then yes, you can divide the whole numbers.

What if the decimals have different numbers of places?

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Use the number with more decimal places to determine the power of 10. For example, if dividing 0.456 by 0.02, multiply both by 1000.

How can I check my answer without a calculator?

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Multiply your answer by the original divisor: 6×0.06=0.36 6 \times 0.06 = 0.36 . If you get the original dividend, you're correct!

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