Solve Decimal Division: 20.30 ÷ 203 Step by Step

Decimal Division with Equal Decimal Places

20.30:203= 20.30:203=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 Multiply each factor by 10 to eliminate the decimal point
00:14 Convert division to fraction
00:29 Reduce as much as possible
00:40 According to the number of zeros in the denominator, we'll move the decimal point
00:47 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

20.30:203= 20.30:203=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Examine the given division 20.30:203 20.30:203 .

  • Step 2: Adjust the division by removing the decimal.

  • Step 3: Divide and obtain the quotient.

Now, let's work through each step:

Step 1: We have 20.30÷203 20.30 \div 203 , which we need to simplify.

Step 2: Consider 20.30 20.30 as 2030 2030 because we can shift the decimal to transform it, and similarly divide 2030 2030 by 20300 20300 (adding sufficient zeros).

Step 3: Perform the Division:

Calculate how many times 203 203 fits into 2030 2030 :

203× 10 gives 2030 203 \times~ 10~ gives~ 2030 . This results in 203 203 fitting in 10 10 times into our transformed division 20300 20300 , indicating quotient 0.1 0.1 .

Therefore, the solution to the division is 0.1 \boldsymbol{0.1} .

3

Final Answer

0.1 0.1

Key Points to Remember

Essential concepts to master this topic
  • Rule: When dividing decimals, align decimal places for easier calculation
  • Technique: Transform 20.30 ÷ 203 to 2030 ÷ 20300 by shifting decimals
  • Check: Multiply answer by divisor: 0.1 × 203 = 20.30 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring decimal placement when transforming the division
    Don't just remove the decimal from 20.30 without adjusting the divisor = wrong decimal placement! This creates an unbalanced transformation that changes the actual value. Always shift both dividend and divisor by the same number of decimal places.

Practice Quiz

Test your knowledge with interactive questions

\( 0.26\times10= \)

FAQ

Everything you need to know about this question

Why can I move the decimal point in both numbers?

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Moving the decimal the same number of places in both dividend and divisor doesn't change the answer! It's like multiplying both by the same power of 10, which cancels out.

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

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Count the decimal places in the more complex number. In this case, 20.30 20.30 has 2 decimal places, so move both decimals 2 places right.

What if my answer doesn't look right?

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Always check by multiplying! If 0.1×203=20.30 0.1 × 203 = 20.30 , then your division is correct.

Can I just use long division instead?

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Yes! But transforming decimals first makes the division much easier because you work with whole numbers instead of decimals throughout the process.

Why is the answer 0.1 and not 10?

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Remember the original decimal placement! Since 20.30 is smaller than 203, the answer must be less than 1, so 0.1 makes sense.

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