Convert 936 Thousandths: Word Form to Decimal Fraction Notation

Decimal Place Value with Thousandths Position

What is nine hundred and thirty-six 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 nine hundred and thirty-six thousandths written as a decimal fraction?

2

Step-by-step solution

To convert "nine hundred and thirty-six thousandths" into a decimal fraction, we should understand the components of this phrase:

  • The term "hundred" in "nine hundred" means the number 936 must be calculated with consideration.
  • "Thousandths" indicates that the value is part of a thousand, or three spaces to the right of the decimal point.

Let's break it down:

When you hear "nine hundred and thirty-six thousandths," you can think of it as being the number 936 over 1000. This can be expressed as 9361000 \frac{936}{1000} .

Writing 9361000 \frac{936}{1000} as a decimal fraction involves placing the decimal point correctly to reflect the thousandths place. As the denominator is 1000, we must move the decimal three places to the left of the integer 936. Hence, it becomes:

0.936 0.936

Therefore, the decimal fraction of "nine hundred and thirty-six thousandths" is 0.936 0.936 .

3

Final Answer

0.936

Key Points to Remember

Essential concepts to master this topic
  • Word Form Rule: "Thousandths" means three places right of decimal point
  • Technique: Convert 936 thousandths to 9361000 \frac{936}{1000} = 0.936
  • Check: Count decimal places: 0.936 has 3 places for thousandths ✓

Common Mistakes

Avoid these frequent errors
  • Placing decimal point in wrong position
    Don't just write 936 with a decimal somewhere random = wrong place value! "Thousandths" specifically means the third place after the decimal point. Always count three places right from the decimal: 0.936.

Practice Quiz

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Which figure represents 0.1?

FAQ

Everything you need to know about this question

What's the difference between 'thousand' and 'thousandths'?

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Thousand means 1000 (a whole number), but thousandths means parts of 1000. Think of it as 11000 \frac{1}{1000} - very small pieces!

How do I remember where to put the decimal point?

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Remember the pattern: tenths = 1 place, hundredths = 2 places, thousandths = 3 places after the decimal point. The number of letters in the word matches the decimal places!

Why is 936 thousandths not 93.6?

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Because 93.6 means "ninety-three and six tenths," not "nine hundred thirty-six thousandths." The word thousandths tells us exactly where the decimal belongs.

Can I write this as a fraction instead?

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Yes! 936 thousandths equals 9361000 \frac{936}{1000} . You can simplify this fraction, but the decimal 0.936 is usually the preferred form.

What if the problem said 'nine hundred thirty-six thousand'?

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Then it would be 936,000 (a whole number)! The -ths ending in "thousandths" is crucial - it makes the number a small decimal instead of a large whole number.

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