Convert Decimal to Words: Writing 0.532 in Verbal Form

Decimal Place Value with Fraction Conversion

Rewrite the following decimal in words:

0.532

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Rewrite the following decimal in words:

0.532

2

Step-by-step solution

To solve this problem, we need to express the decimal number 0.5320.532 as a fraction. In this decimal, the digit '5' is in the tenths place, the '3' is in the hundredths place, and '2' is in the thousandths place. This means that 0.5320.532 can be read as "five hundred thirty-two thousandths," which is equivalent to the fraction 5321000\frac{532}{1000}.

Therefore, the decimal 0.5320.532 in words is expressed as 5321000\frac{532}{1000}.

Looking at the choices provided:

  • Choice 1: 531100\frac{531}{100} - Incorrect
  • Choice 2: 53100\frac{53}{100} - Incorrect
  • Choice 3: 5310\frac{53}{10} - Incorrect
  • Choice 4: 5321000\frac{532}{1000} - Correct

Therefore, choice 4 is the correct representation of the decimal 0.5320.532.

3

Final Answer

532 divided by 1000

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Count decimal places to determine denominator power
  • Technique: 0.532 has 3 places = numerator 532, denominator 1000
  • Check: Verify 5321000=0.532 \frac{532}{1000} = 0.532 by dividing ✓

Common Mistakes

Avoid these frequent errors
  • Counting decimal places incorrectly
    Don't count only to the first non-zero digit like making 0.532 into 53/100! This ignores the final digit 2 and gives 0.53 instead of 0.532. Always count all decimal places from the decimal point to determine the correct denominator.

Practice Quiz

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Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

How do I know what denominator to use for any decimal?

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Count the decimal places! 1 place = 10, 2 places = 100, 3 places = 1000. Since 0.532 has 3 decimal places, use 1000 as the denominator.

What if there are zeros at the end of the decimal?

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Include them in your count! For example, 0.520 still has 3 decimal places, so it becomes 5201000 \frac{520}{1000} , which simplifies to 52100 \frac{52}{100} .

Why can't I just use the digits I see as the numerator?

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You need all the digits after the decimal point! Missing digits changes the value completely. 532 thousandths is very different from 53 hundredths.

Do I need to simplify the fraction?

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The question asks for the decimal in words, which means as a fraction. 5321000 \frac{532}{1000} is the correct word form, even if it could be simplified.

What does 'five hundred thirty-two thousandths' mean?

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It means you have 532 parts out of 1000 equal parts. The word 'thousandths' tells you the denominator is 1000, and 'five hundred thirty-two' gives you the numerator 532.

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