Convert Decimal to Words: Writing 0.120 in Text Form

Decimal Place Value with Three Decimal Positions

Rewrite the following decimal in words:

0.120

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Step-by-step written solution

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1

Understand the problem

Rewrite the following decimal in words:

0.120

2

Step-by-step solution

To solve the problem of rewriting the decimal 0.1200.120 in words, we will follow these steps:

  • Step 1: Understand the value of the decimal number.
  • Step 2: Express the decimal as a fraction.
  • Step 3: Simplify the fraction if possible and then express it in words as a division.

Now, let's work through each step:

Step 1: The given decimal is 0.1200.120. This number is read as "zero point one two zero." The digits after the decimal point represent parts of a whole, specifically tenths, hundredths, and thousandths.

Step 2: To convert 0.1200.120 into a fraction, we analyze the place value of the decimal digits.
- The digit '1' is in the tenths place.
- The digit '2' is in the hundredths place.
- The digit '0' is in the thousandths place.

The decimal 0.1200.120 represents "120 thousandths," which is expressed as the fraction 1201000\frac{120}{1000}.

Step 3: Now, let's write 1201000\frac{120}{1000} in words. Although the fraction can be simplified, the problem asks for rewriting the decimal in words without simplifying it further. Thus, we state that 0.1200.120 is "120 divided by 1000."

Therefore, the solution to the problem is 120 divided by 1000120 \text{ divided by } 1000.

3

Final Answer

120 divided by 1000

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Count decimal places to determine denominator power
  • Technique: 0.120 has 3 places = thousandths = 1201000 \frac{120}{1000}
  • Check: Read aloud as "one hundred twenty thousandths" matches the fraction ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring trailing zeros in decimals
    Don't drop the zero in 0.120 and write it as 0.12 = wrong place value! This changes 120 thousandths to 12 hundredths, giving completely different fractions. Always count all decimal places including trailing zeros.

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

Why does the trailing zero in 0.120 matter?

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The trailing zero shows you're working in thousandths, not hundredths! Without it, 0.12 would be "12 hundredths" instead of "120 thousandths." The zero tells you exactly which place value to use.

How do I know what denominator to use?

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Count the decimal places! 1 place = tenths (10), 2 places = hundredths (100), 3 places = thousandths (1000). Since 0.120 has 3 places, use 1000 as your denominator.

Can I simplify the fraction 120/1000?

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Yes, you can! 1201000=325 \frac{120}{1000} = \frac{3}{25} when simplified. But the question asks for the decimal as written, so "120 divided by 1000" is the correct answer.

What if the decimal has different numbers of places?

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Same rule applies! 0.5 = 5/10, 0.25 = 25/100, 0.375 = 375/1000. Just count the decimal places and use the matching power of 10.

How do I read 0.120 out loud?

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Say "one hundred twenty thousandths" or "zero point one two zero." Both are correct, but the first version helps you understand the fraction form better!

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