Convert the Ratio 1:100 to Its Decimal Equivalent

Ratio Conversion with Decimal Places

1:100= 1:100=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 According to the number of zeros, move the decimal point
00:10 Move the decimal point according to the number of zeros
00:25 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

1:100= 1:100=

2

Step-by-step solution

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

  • Step 1: Start with the number 1, which can be written as 1.00 1.00 .

  • Step 2: Since dividing by 100 is involved, we move the decimal point two places to the left, resulting in 0.01.

  • Step 3: Identify the answer from the given choices.

Now, let's work through each step:
Step 1: Write the number 1 in decimal form as 1.00.
Step 2: Divide by 100 by moving the decimal point two places to the left.
- Moving one place to the left gives 0.10.
- Moving another place to the left gives 0.01.
Step 3: The resulting value is 0.01, which corresponds to choice 2.

Therefore, the solution to the problem is 0.01 0.01 .

3

Final Answer

0.01 0.01

Key Points to Remember

Essential concepts to master this topic
  • Rule: A ratio 1:100 means 1 divided by 100
  • Technique: Move decimal point two places left: 1.00 becomes 0.01
  • Check: Multiply back: 0.01 × 100 = 1.00 ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point in wrong direction
    Don't move the decimal point to the right when dividing by 100 = 10.0 instead of 0.01! This makes the number bigger instead of smaller. Always move decimal left when dividing by powers of 10.

Practice Quiz

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

FAQ

Everything you need to know about this question

Why does 1:100 become a decimal less than 1?

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A ratio of 1:100 means you have 1 part out of 100 total parts. Since 1 is smaller than 100, the decimal must be less than 1. Think of it as getting 1 penny out of 100 pennies!

How many decimal places should I move for different numbers?

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Count the zeros in the denominator! Dividing by 10 = move 1 place left, by 100 = move 2 places left, by 1000 = move 3 places left, and so on.

What if I don't have enough decimal places to move?

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Add zeros to the right of your decimal point first! For example: 1 becomes 1.00, then you can move two places left to get 0.01.

Is 1:100 the same as 1/100?

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Yes! A ratio 1:100 1:100 is exactly the same as the fraction 1100 \frac{1}{100} , which equals the decimal 0.01.

How can I check if 0.01 is correct?

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Multiply your answer by the second number: 0.01×100=1.00 0.01 \times 100 = 1.00 . If you get the first number back, you're correct!

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