Converting Three and Twenty-Three Thousandths to Decimal Fraction: 3.023

Decimal Place Value with Thousandths Position

What is three ones and twenty-three thousandths written as a decimal fraction?

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Step-by-step written solution

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1

Understand the problem

What is three ones and twenty-three thousandths written as a decimal fraction?

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Step-by-step solution

To solve this problem, we'll translate the verbal description "three ones and twenty-three thousandths" into a decimal fraction.

Let's break this down:

  • The phrase "three ones" refers to the number 3.
  • The phrase "twenty-three thousandths" represents the decimal value 0.023, since "thousandths" means we are considering the value in the thousandths place (three decimal places).

Combining these parts:

  • We start with 3 for the "three ones."
  • Then, we add 0.023 for the "twenty-three thousandths."

Therefore, when we combine 3 and 0.023, we get the decimal 3.023.

Conclusively, the decimal fraction representation of "three ones and twenty-three thousandths" is 3.023 3.023 .

3

Final Answer

3.023

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Thousandths is the third decimal place (0.001)
  • Technique: Twenty-three thousandths = 23 ÷ 1000 = 0.023
  • Check: Count decimal places: 3.023 has 3 in ones, 023 in thousandths ✓

Common Mistakes

Avoid these frequent errors
  • Writing twenty-three thousandths as 0.23
    Don't write 0.23 for twenty-three thousandths = wrong place value! This gives twenty-three hundredths instead. Always count three decimal places for thousandths: 0.023.

Practice Quiz

Test your knowledge with interactive questions

Which figure represents 0.1?

FAQ

Everything you need to know about this question

What's the difference between thousandths and hundreds?

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Thousandths is the third decimal place (0.001), while hundredths is the second decimal place (0.01). Think: thousandths are smaller because 1000 is bigger than 100!

Why do I need the zero in 0.023?

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The zero in the hundredths place is crucial! Without it, 23 thousandths would look like 23 hundredths (0.23). Each decimal place must be filled to show the correct value.

How do I remember which decimal place is which?

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Use this pattern: tenths, hundredths, thousandths. Each place gets smaller as you move right, just like the names suggest: 10, 100, 1000.

Can I write 3.023 as a fraction?

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Yes! 3.023=3231000 3.023 = 3\frac{23}{1000} or 30231000 \frac{3023}{1000} . The denominator is always 1000 for thousandths place values.

What if the problem said 'three and twenty-three hundredths'?

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Then it would be 3.23 instead! Hundredths only uses two decimal places. Always listen carefully to whether it says hundredths or thousandths.

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