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

Q: Why isn't two tenths just written as 2?

Because "two tenths" means 2 pieces out of 10 equal parts, not just the number 2. Think of it like pizza slices - if you have 2 slices out of 10 total slices, that's $\frac{2}{10} = 0.2$, not 2 whole pizzas!

Q: How do I remember where to put the decimal point?

The word "tenths" tells you! Tenths go in the first decimal place after the decimal point. So 2 tenths = 0.2, 5 tenths = 0.5, etc.

Q: What if I see three tenths or seven tenths?

Same pattern! Three tenths = $\frac{3}{10}$ = 0.3, and seven tenths = $\frac{7}{10}$ = 0.7. The number before "tenths" becomes your decimal digit.

Q: How is this different from hundredths?

Tenths have 1 decimal place (0.2), while hundredths have 2 decimal places (0.02). Two hundredths would be 0.02, which is much smaller than two tenths (0.2)!

Fraction to Decimal Conversion with Tenths

What is two tenths written as a decimal fraction?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is two tenths written as a decimal fraction?

Step-by-step solution

To solve this problem, we will convert the verbal form "two tenths" into a decimal:

Step 1: Understand that "two tenths" means $\frac{2}{10}$ .
Step 2: Convert the fraction $\frac{2}{10}$ into decimal form by performing the division $2 \div 10$ .

Now, let's calculate:

Step 1: Identify the fraction: "two tenths" corresponds to the fraction $\frac{2}{10}$ .

Step 2: Divide $2$ by $10$ , which yields $0.2$ .

Thus, two tenths written as a decimal fraction is $0.2$ .

Final Answer

0.2

Key Points to Remember

Essential concepts to master this topic

Rule: Convert tenths by dividing numerator by denominator
Technique: Two tenths = $\frac{2}{10} = 2 \div 10 = 0.2$
Check: Count decimal places: 0.2 has 1 decimal place for tenths ✓

Common Mistakes

Avoid these frequent errors

Writing two tenths as 2 or 20
Don't write "two tenths" as just 2 or 20 = completely wrong value! This ignores the "tenths" part which means dividing by 10. Always convert the fraction $\frac{2}{10}$ by doing the division 2 ÷ 10 = 0.2.

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 isn't two tenths just written as 2?

Because "two tenths" means 2 pieces out of 10 equal parts, not just the number 2. Think of it like pizza slices - if you have 2 slices out of 10 total slices, that's $\frac{2}{10} = 0.2$ , not 2 whole pizzas!

How do I remember where to put the decimal point?

The word "tenths" tells you! Tenths go in the first decimal place after the decimal point. So 2 tenths = 0.2, 5 tenths = 0.5, etc.

Is 0.2 the same as 0.20?

Yes! Adding zeros to the right of a decimal doesn't change its value. 0.2 = 0.20 = 0.200. They all represent the same amount - two tenths.

What if I see three tenths or seven tenths?

Same pattern! Three tenths = $\frac{3}{10}$ = 0.3, and seven tenths = $\frac{7}{10}$ = 0.7. The number before "tenths" becomes your decimal digit.

How is this different from hundredths?

Tenths have 1 decimal place (0.2), while hundredths have 2 decimal places (0.02). Two hundredths would be 0.02, which is much smaller than two tenths (0.2)!

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