Convert Eight Tenths to Decimal Fraction: Step-by-Step Solution

Decimal Conversion with Place Value Understanding

What is eight tenths written as a decimal fraction?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What is eight tenths written as a decimal fraction?

2

Step-by-step solution

To solve this problem, let's follow these steps:

  • Step 1: Understand the fraction given as "eight tenths."
  • Step 2: Recognize this as 810\frac{8}{10}.
  • Step 3: Convert the fraction to a decimal format.

Now, let's go through in detail:
Step 1: "Eight tenths" is a fractional term where the numerator is 8, and the denominator is 10, so the fraction is 810\frac{8}{10}.
Step 2: To convert the fraction 810\frac{8}{10} to a decimal, consider that tenths are represented by the first place right of the decimal point.
Step 3: 810\frac{8}{10} means eight parts of ten, which can be written as 0.8 in decimal form, since 8 is in the tenths place.

Therefore, the solution to the problem is 0.8 0.8 .

3

Final Answer

0.8

Key Points to Remember

Essential concepts to master this topic
  • Rule: Tenths place is the first digit after the decimal point
  • Technique: Convert 810 \frac{8}{10} by placing 8 in tenths position
  • Check: Count decimal places: 0.8 has one place = tenths ✓

Common Mistakes

Avoid these frequent errors
  • Placing digits in wrong decimal positions
    Don't put 8 in hundredths place (0.08) or ignore the decimal (8) = completely wrong value! This changes the number's size by factors of 10. Always identify which place value matches your fraction's denominator.

Practice Quiz

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Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

Why is eight tenths 0.8 and not 0.08?

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Tenths means the first place after the decimal point! 810 \frac{8}{10} puts 8 in the tenths place, giving us 0.8. The number 0.08 would be eight hundredths.

How do I remember which decimal place is which?

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Think of the pattern: tenths, hundredths, thousandths. The denominator tells you which place to use - 10 means tenths (first place), 100 means hundredths (second place).

What's the difference between 0.8 and 8?

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Huge difference! 0.8 is less than 1, while 8 is a whole number. The decimal point shows you're working with parts of a whole, not complete units.

Can I write 0.8 as 0.80?

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Yes! Adding zeros after the last digit doesn't change the value. Both 0.8 and 0.80 equal 810 \frac{8}{10} .

How do I convert other fractions with denominator 10?

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  • 310 \frac{3}{10} = 0.3
  • 710 \frac{7}{10} = 0.7
  • Just put the numerator in the tenths place!

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