Convert Decimal to Words: Writing 0.6 in Word Form

Decimal Place Value with Fraction Conversion

Rewrite the following decimal in words:

0.6

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Step-by-step written solution

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1

Understand the problem

Rewrite the following decimal in words:

0.6

2

Step-by-step solution

To convert the decimal 0.60.6 into words, we first express it as a fraction or division structure.

The decimal 0.60.6 is equivalent to the fraction 610\frac{6}{10} because the first digit after the decimal point represents the tenths position.

In mathematical division terms, this is expressed as "6 divided by 10."

Considering the provided answer choices, the correct representation of the number 0.60.6 in words based on its equivalent fraction is:

6 divided by 10

3

Final Answer

6 divided by 10

Key Points to Remember

Essential concepts to master this topic
  • Place Value: First digit after decimal point represents the tenths position
  • Technique: Convert 0.6 to fraction 610 \frac{6}{10} then write as division
  • Check: Verify 6 ÷ 10 = 0.6 using long division ✓

Common Mistakes

Avoid these frequent errors
  • Confusing place value positions when converting decimals
    Don't write 0.6 as 6 divided by 100 = 0.06! This uses the hundredths place instead of tenths. Always identify the correct place value: first digit after decimal is tenths, so 0.6 = 6 divided by 10.

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 is 0.6 equal to 6 divided by 10 and not 6 divided by 100?

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The place value determines the denominator! The first position after the decimal point is the tenths place, so we use 10 as the denominator. If it were 0.06, then we'd use 100 (hundredths place).

How do I remember which place value goes with which denominator?

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Use this pattern: tenths = 10, hundredths = 100, thousandths = 1000. The number of zeros matches the number of decimal places!

Can I simplify 6 divided by 10 further?

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Yes! 610 \frac{6}{10} can be simplified to 35 \frac{3}{5} by dividing both numerator and denominator by 2. But the question asks for the direct conversion, so 6 divided by 10 is the correct word form.

What if the decimal has more than one digit after the decimal point?

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Count the decimal places! For example, 0.25 has two decimal places, so it goes in the hundredths place: 25100 \frac{25}{100} or 25 divided by 100.

How can I check if my conversion is correct?

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Simply divide! If you get 6 ÷ 10 = 0.6, then your conversion is right. Use a calculator or long division to verify your answer.

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