Convert Fraction to Decimal: Finding the Decimal Value of 16/10

Q: Why do I move the decimal point left when dividing by 10?

Dividing makes numbers smaller, so the decimal point moves left! Think of it this way: 16 ÷ 10 means one-tenth of 16, which is smaller than 16.

Q: What if the denominator is 100 or 1000?

Move the decimal point left by the number of zeros! For 100 (2 zeros), move 2 places left. For 1000 (3 zeros), move 3 places left.

Q: Can I use long division instead?

Yes! $ 16 ÷ 10 $ using long division gives the same answer. But the decimal point rule is much faster for powers of 10.

Fraction to Decimal with Division by Powers of Ten

Write the following fraction as a decimal:

$\frac{16}{10}$

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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, we take the numerator as a number

00:06 And according to the denominator, we move the decimal point

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

00:14 And that's 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:

$\frac{16}{10}$

Step-by-step solution

First let's rewrite the simple fraction as a decimal fraction:

$16.0$

Since the fraction is divisible by 10, we can move the decimal point one place to the left to obtain:

$1.60=1.6$

Final Answer

1.6

Key Points to Remember

Essential concepts to master this topic

Rule: When denominator is power of 10, move decimal point left
Technique: Dividing by 10 moves decimal one place: 16 ÷ 10 = 1.6
Check: Multiply back: 1.6 × 10 = 16, which equals our numerator ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point in the wrong direction
Don't move the decimal point right when dividing by 10 = gives 160 instead of 1.6! This multiplies instead of divides. Always move the decimal point LEFT when dividing by powers of 10.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

$$ 0.38= $$

FAQ

Everything you need to know about this question

Why do I move the decimal point left when dividing by 10?

Dividing makes numbers smaller, so the decimal point moves left! Think of it this way: 16 ÷ 10 means one-tenth of 16, which is smaller than 16.

What if the denominator is 100 or 1000?

Move the decimal point left by the number of zeros! For 100 (2 zeros), move 2 places left. For 1000 (3 zeros), move 3 places left.

How do I write 16 as a decimal to start?

Any whole number has an invisible decimal point at the end: $16 = 16.0$ . You can add zeros after the decimal point without changing the value.

Do I need to keep the zero at the end of 1.60?

No! Trailing zeros after the decimal point don't change the value. 1.60 = 1.6. You can drop them to make your answer cleaner.

Can I use long division instead?

Yes! $16 ÷ 10$ using long division gives the same answer. But the decimal point rule is much faster for powers of 10.

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