Convert Ratio to Decimal: Finding the Value of 13:100

Ratio to Decimal with Division Method

13:100= 13:100=

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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
00:12 Move the point according to the number of zeros
00:21 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

13:100= 13:100=

2

Step-by-step solution

To solve this problem, we'll divide 13 by 100 using the movement of the decimal point method:

  • Step 1: Convert the integer 13 to a decimal by considering it as 13.0. This highlights the position where the decimal point begins.
  • Step 2: Since we are dividing by 100, we need to move the decimal point two places to the left. Starting with 13.0:
    • First move one place left: 1.30
    • Second move one place left: 0.130
  • Step 3: Thus, the final representation after moving two places to the left is 0.13.

Therefore, when dividing 13 by 100, the resulting decimal number is 0.13 0.13 .

The correct answer from the given choices is choice (3), which is 0.13 0.13 .

3

Final Answer

0.13 0.13

Key Points to Remember

Essential concepts to master this topic
  • Rule: Ratios represent division, so 13:100 means 13 ÷ 100
  • Technique: Move decimal point 2 places left: 13.0 → 1.30 → 0.13
  • Check: Multiply back: 0.13 × 100 = 13 ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point in wrong direction
    Don't move the decimal point right when dividing by 100 = numbers get bigger instead of smaller! This creates answers like 1300 instead of 0.13. 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 do I move the decimal point left when dividing by 100?

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When you divide by 100, you're making the number smaller. Moving the decimal point 2 places left (because 100 has 2 zeros) gives you the correct smaller result.

What if I don't see a decimal point in 13?

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Every whole number has an invisible decimal point at the end! So 13 is really 13.0, and that's where you start moving the decimal point.

How many places do I move for different numbers like 10 or 1000?

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Count the zeros! For 10 (1 zero), move 1 place left. For 1000 (3 zeros), move 3 places left. The number of zeros tells you how many places to move.

What if I need to add zeros when moving the decimal?

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That's normal! When moving 13.0 two places left, you get 0.13. The zero in front is important - it shows the decimal is less than 1.

How can I check if 0.13 0.13 is correct?

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Multiply your answer by 100: 0.13×100=13 0.13 × 100 = 13 . If you get back to your original number, you're right!

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