Place Value Analysis: Finding the Position of 0.3 in Decimal Form

Q: Why isn't 0.3 called 'three ones'?

Because the digit 3 is after the decimal point, not before it! The ones place is to the left of the decimal. Since 3 is in the first position to the right, it's in the tenths place.

Q: What's the difference between 'three tenths' and 'thirty tenths'?

Three tenths means 3 × $ \frac{1}{10} $ = 0.3. Thirty tenths would mean 30 × $ \frac{1}{10} $ = 3.0, which is completely different!

Q: How do I remember the decimal place names?

Think of the pattern: tenths, hundredths, thousandths. Each place gets 10 times smaller as you move right. The names end in '-ths' because they're fractions!

Q: Is 0.3 the same as 3/10?

Yes! Three tenths can be written as either 0.3 (decimal form) or $ \frac{3}{10} $ (fraction form). They represent the exact same value.

Decimal Place Values with Tenths Position

Determine the place value of 0.3

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Determine the place value of 0.3

Step-by-step solution

To determine the place value of 0.3, we need to analyze the position of the digit in the decimal number. In the decimal system:

The first position to the right of the decimal point is the "tenths" place.
The digit '3' in 0.3 is in this tenths place.
Thus, the place value of the digit 3 in 0.3 is three tenths.

Given these observations, we can conclude that the correct characterization of 0.3 is three tenths.

Therefore, the solution to the problem is Three tenths.

Final Answer

Three tenths

Key Points to Remember

Essential concepts to master this topic

Rule: First digit after decimal point is always tenths place
Technique: Read 0.3 as 'three tenths', not 'point three'
Check: Count positions from decimal point: first = tenths ✓

Common Mistakes

Avoid these frequent errors

Confusing place value with digit value
Don't say '3' is just 'three' = wrong place identification! The digit 3 has different meanings in different positions (3 vs 0.3 vs 0.03). Always identify the position first, then state both digit and place value together.

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 0.3 called 'three ones'?

Because the digit 3 is after the decimal point, not before it! The ones place is to the left of the decimal. Since 3 is in the first position to the right, it's in the tenths place.

What's the difference between 'three tenths' and 'thirty tenths'?

Three tenths means 3 × $\frac{1}{10}$ = 0.3. Thirty tenths would mean 30 × $\frac{1}{10}$ = 3.0, which is completely different!

How do I remember the decimal place names?

Think of the pattern: tenths, hundredths, thousandths. Each place gets 10 times smaller as you move right. The names end in '-ths' because they're fractions!

Is 0.3 the same as 3/10?

Yes! Three tenths can be written as either 0.3 (decimal form) or $\frac{3}{10}$ (fraction form). They represent the exact same value.

What if there are more digits after 0.3?

Each position has its own place value! For example, in 0.35, the 3 is still in the tenths place and the 5 is in the hundredths place. Each digit keeps its position name.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime