Solve the Ratio Problem: Converting 10:100 to Simplest Form

Ratio Conversion with Decimal Form

10:100= 10:100=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 According to the number of zeros, move the decimal point
00:13 Move the point according to the number of zeros
00:18 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

10:100= 10:100=

2

Step-by-step solution

To solve the problem of dividing 10 10 by 100 100 , we'll follow these steps:

  • Recognize the task as a division by 100.
  • Understand that dividing by 100 effectively moves the decimal point two places to the left.
  • Apply this understanding directly to the number 10 10 .

Let's work through these steps:

The number 10 10 can be written as 10.0 10.0 , and dividing by 100 100 means moving the decimal point two places to the left.
So, starting with 10.0 10.0 , we move the decimal:

Before: 10.0 \text{Before: } 10.0

After moving the decimal two places left: 0.10 \text{After moving the decimal two places left: } 0.10

Thus, 10:100=0.1 10:100 = 0.1 .

The correct answer is therefore: 0.1 0.1 .

3

Final Answer

0.1 0.1

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert ratio to decimal by dividing first term by second
  • Technique: Divide 10 by 100 by moving decimal point two places left
  • Check: Multiply result by 100: 0.1 × 100 = 10 confirms our answer ✓

Common Mistakes

Avoid these frequent errors
  • Confusing ratio notation with division order
    Don't divide 100 by 10 when you see 10:100 = wrong answer of 10! The colon means 'to', so 10:100 means 10 divided by 100. Always divide the first number by the second number in ratio notation.

Practice Quiz

Test your knowledge with interactive questions

\( \text{0}.07\times10= \)

FAQ

Everything you need to know about this question

What's the difference between 10:100 and 100:10?

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The order matters! 10:100 means 10 divided by 100 = 0.1, while 100:10 means 100 divided by 10 = 10. The first number always goes on top in the division.

Why do we get 0.1 instead of a fraction?

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Both are correct! 10:100=10100=0.1 10:100 = \frac{10}{100} = 0.1 . The decimal form 0.1 is just the simplified way to express this ratio as requested in the problem.

How do I remember which way to divide?

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Think of the colon (:) as "divided by". So 10:100 reads as "10 divided by 100". The number before the colon always goes first in the division.

Can I simplify the ratio before converting to decimal?

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Yes! You can simplify 10:100 10:100 to 1:10 1:10 first, then convert:

  • 1 ÷ 10 = 0.1
Both methods give the same answer!

What if I get confused about moving the decimal point?

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Remember: dividing by 100 means moving the decimal 2 places LEFT. Start with 10.0, then move: 10.0 → 1.00 → 0.10 = 0.1

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