Place Value Analysis: Positioning 0.1 in the Decimal System

Q: How do I remember the order of decimal places?

Use this pattern: tenths, hundredths, thousandths. Each place is divided by 10 more than the previous place. Think: tenth = 1/10, hundredth = 1/100, thousandth = 1/1000.

Q: Why is 0.1 called a tenth and not a one?

The digit '1' is in the tenths position, which means it represents $ \frac{1}{10} $ of a whole. The position determines the value, not just the digit itself!

Q: What's the difference between 0.1 and 1.0?

In 0.1, the '1' is in the tenths place (worth 1/10). In 1.0, the '1' is in the ones place (worth 1 whole). Position makes all the difference!

Q: How do I know which decimal place a digit is in?

Start from the decimal point and count positions to the right: 1st position = tenths, 2nd = hundredths, 3rd = thousandths. For example, in 0.456: 4 is tenths, 5 is hundredths, 6 is thousandths.

Q: Can I convert 0.1 to a fraction to check my answer?

Absolutely! 0.1 = $ \frac{1}{10} $, which confirms it's one tenth. This fraction method is a great way to verify decimal place values.

Decimal Place Values with Tenths Position

Determine the place value of 0.1

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Determine the place value of 0.1

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Understand decimal place values. Each position to the right of the decimal point represents a division by the next power of ten.
Step 2: Analyze the given number 0.1. The digit '1' is immediately after the decimal point.
Step 3: Determine the place value. The first digit to the right of the decimal point is in the "tenths" place.

Now, let's work through each step:
Step 1: In any decimal number, the digits to the right of the decimal point have place values based on negative powers of ten. The first position is the tenths (1/10), followed by hundredths (1/100), etc.
Step 2: In 0.1, the '1' is the first digit after the decimal point.
Step 3: As the '1' is in the first position after the decimal point, the place value of 0.1 is the "tenths".

Therefore, the place value of the digit in the number 0.1 is tenth.

Final Answer

tenth

Key Points to Remember

Essential concepts to master this topic

Rule: First position after decimal point is always tenths place
Technique: Count positions right of decimal: 0.1 has 1 in tenths
Check: Convert to fraction: 0.1 = 1/10 = one tenth ✓

Common Mistakes

Avoid these frequent errors

Confusing tenths with tens place
Don't think 0.1 is in the tens place because it contains the digit 1 = completely wrong position! The tens place is two positions LEFT of the decimal point. Always remember that positions RIGHT of the decimal point are fractional parts.

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

How do I remember the order of decimal places?

Use this pattern: tenths, hundredths, thousandths. Each place is divided by 10 more than the previous place. Think: tenth = 1/10, hundredth = 1/100, thousandth = 1/1000.

Why is 0.1 called a tenth and not a one?

The digit '1' is in the tenths position, which means it represents $\frac{1}{10}$ of a whole. The position determines the value, not just the digit itself!

What's the difference between 0.1 and 1.0?

In 0.1, the '1' is in the tenths place (worth 1/10). In 1.0, the '1' is in the ones place (worth 1 whole). Position makes all the difference!

How do I know which decimal place a digit is in?

Start from the decimal point and count positions to the right: 1st position = tenths, 2nd = hundredths, 3rd = thousandths. For example, in 0.456: 4 is tenths, 5 is hundredths, 6 is thousandths.

Can I convert 0.1 to a fraction to check my answer?

Absolutely! 0.1 = $\frac{1}{10}$ , which confirms it's one tenth. This fraction method is a great way to verify decimal place values.

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