Convert Fraction to Decimal: Finding the Decimal Value of 8/10

Q: Why do I move the decimal point to the left?

Because you're dividing by 10! When you divide by 10, numbers get smaller, so the decimal point moves left. Think of it as: 8 ÷ 10 = 0.8

Q: What if the numerator has more than one digit?

Same rule applies! For $ \frac{25}{10} $, start with 25.0 and move left one place to get 2.5. The number of digits doesn't matter.

Q: Do I always need the zero before the decimal point?

Yes! Writing 0.8 instead of just .8 is the proper mathematical format. It makes your answer clearer and prevents confusion.

Q: How is this different from regular division?

It's actually the same thing! $ \frac{8}{10} $ means 8 ÷ 10. The decimal point method is just a shortcut for powers of 10.

Q: What if I get confused about which direction to move?

Remember: dividing makes numbers smaller, so decimal moves left. You can always check by doing 8 ÷ 10 on a calculator to verify!

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

$\frac{8}{10}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:03 In a decimal fraction, take the numerator as a number

00:06 According to the denominator, move the decimal point

00:10 When the denominator equals 10, move the decimal point once to the left

00:14 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the following fraction as a decimal:

$\frac{8}{10}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$8.0$

Since the fraction divides by 10, we'll move the decimal point one place to the left and get:

$.8$

We'll add the zero before the decimal point and get:

$0.8$

Final Answer

0.8

Key Points to Remember

Essential concepts to master this topic

Rule: Fractions with 10, 100, 1000 denominators convert easily to decimals
Technique: Move decimal point left by number of zeros: $\frac{8}{10} = 0.8$
Check: Count decimal places matches denominator zeros: 0.8 has 1 place, 10 has 1 zero ✓

Common Mistakes

Avoid these frequent errors

Placing decimal point incorrectly
Don't write 8/10 as 8.0 or .08! This happens when you don't count the zeros in the denominator correctly. Always move the decimal point left by the exact number of zeros in the denominator.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

Why do I move the decimal point to the left?

Because you're dividing by 10! When you divide by 10, numbers get smaller, so the decimal point moves left. Think of it as: 8 ÷ 10 = 0.8

What if the numerator has more than one digit?

Same rule applies! For $\frac{25}{10}$ , start with 25.0 and move left one place to get 2.5. The number of digits doesn't matter.

Do I always need the zero before the decimal point?

Yes! Writing 0.8 instead of just .8 is the proper mathematical format. It makes your answer clearer and prevents confusion.

How is this different from regular division?

It's actually the same thing! $\frac{8}{10}$ means 8 ÷ 10. The decimal point method is just a shortcut for powers of 10.

What if I get confused about which direction to move?

Remember: dividing makes numbers smaller, so decimal moves left. You can always check by doing 8 ÷ 10 on a calculator to verify!

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