Convert 92 Hundredths to Decimal Fraction: Step-by-Step Solution

Place Value with Hundredths Position

What is ninety-two hundredths written as a decimal fraction?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What is ninety-two hundredths written as a decimal fraction?

2

Step-by-step solution

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

  • Step 1: Identify the given information in verbal form as a decimal.
  • Step 2: Understand the place value indicated by "hundredths."
  • Step 3: Convert the verbal phrase into a numerical decimal form.

Now, let's work through each step:
Step 1: The problem gives us the phrase "ninety-two hundredths," which numerically is expressed as 9292.
Step 2: The term "hundredths" implies that 9292 should be divided by 100100, positioning the number in the hundredths place.
Step 3: To convert 9292 hundredths into a decimal, we divide 9292 by 100100, which gives us 0.920.92.

Therefore, the decimal fraction of ninety-two hundredths is 0.920.92, which corresponds to choice number 1.

3

Final Answer

0.92

Key Points to Remember

Essential concepts to master this topic
  • Rule: Hundredths means divide the number by 100
  • Technique: Convert 92 hundredths by calculating 92÷100=0.92 92 ÷ 100 = 0.92
  • Check: Count decimal places: 0.92 has 2 places for hundredths position ✓

Common Mistakes

Avoid these frequent errors
  • Placing the decimal point in wrong position
    Don't write 92 hundredths as 9.2 or 2.9 = incorrect place value! These positions represent different values (tenths or mixed numbers). Always remember hundredths means two decimal places to the right: 0.92.

Practice Quiz

Test your knowledge with interactive questions

Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

What does 'hundredths' actually mean?

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Hundredths means you're dividing by 100! Think of it like having 100 equal parts, and you're taking 92 of those parts. That's why 92 hundredths = 92 ÷ 100 = 0.92.

Why isn't the answer 9.2?

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9.2 means 9 and 2 tenths, which is much larger than 92 hundredths. Remember: 9.2 = 920 hundredths, not 92 hundredths!

How do I remember the decimal placement?

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Use this trick: hundredths = 2 decimal places. The word has 'hundred' (100), so count 2 zeros = 2 places after the decimal point.

What's the difference between hundredths and tenths?

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  • Tenths: 1 decimal place (like 9.2)
  • Hundredths: 2 decimal places (like 0.92)

Hundredths are smaller pieces than tenths!

How can I check if 0.92 is correct?

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Convert back to words: 0.92 = zero and ninety-two hundredths. This matches the original phrase 'ninety-two hundredths' perfectly!

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