Decimal Place Value: Locating the Digit 8 in the Hundredths Position

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

Use the pattern: tenths, hundredths, thousandths. Notice they all end in 'ths' and get smaller as you move right from the decimal point.

Q: Why is 0.82 wrong if it has an 8?

The 8 in 0.82 is in the tenths place (first position after decimal), not the hundredths place (second position). Position matters!

Q: How can I double-check which place a digit is in?

Write the number with place value labels: $0.281$ becomes 0.2(tenths)8(hundredths)1(thousandths). Count the positions!

Place Value with Decimal Positions

Identify which of the following numbers has 8 as its hundredths digit?

❤️ Continue Your Math Journey!

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

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's choose a number where the hundreds digit is eight.

00:09 Now, let's find where the hundreds digit is located.

00:14 The hundreds digit is the second digit after the decimal point.

00:20 Let's list all the options and pick the right one.

01:03 And that, my friends, is how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Identify which of the following numbers has 8 as its hundredths digit?

Step-by-step solution

To solve this problem, let's determine the hundredths digit for each given decimal number:

800.1: The number 800.1 is written as $800.1$ , with only one digit after the decimal point, namely "1". Thus, it does not have a hundredths digit.
0.82: The number 0.82 is written as $0.82$ . The digit in the hundredths place is "2".
0.281: The number 0.281 is written as $0.281$ . The digit in the hundredths place is "8".
0.218: The number 0.218 is written as $0.218$ . The digit in the hundredths place is "1".

After examining each number, we find that the number 0.281 has "8" in the hundredths place.

Therefore, the solution to the problem is 0.281.

Final Answer

0.281

Key Points to Remember

Essential concepts to master this topic

Rule: Hundredths place is second digit after the decimal point
Technique: Count positions from decimal: tenths (1st), hundredths (2nd)
Check: Write 0.281 as ones.tenths hundredths thousandths = 0.2 8 1 ✓

Common Mistakes

Avoid these frequent errors

Confusing hundredths with hundreds place
Don't count from the left side of the decimal = you'll identify wrong digits! The hundreds place is two positions LEFT of the decimal, while hundredths is two positions RIGHT. Always start counting from the decimal point moving right for decimal places.

Practice Quiz

Test your knowledge with interactive questions

Which figure represents 0.1?

FAQ

Everything you need to know about this question

How do I remember the order of decimal places?

Use the pattern: tenths, hundredths, thousandths. Notice they all end in 'ths' and get smaller as you move right from the decimal point.

What if a number doesn't have enough decimal places?

Like 800.1 - it only goes to tenths! If there's no digit in the hundredths place, we say the number doesn't have a hundredths digit.

Why is 0.82 wrong if it has an 8?

The 8 in 0.82 is in the tenths place (first position after decimal), not the hundredths place (second position). Position matters!

How can I double-check which place a digit is in?

Write the number with place value labels: $0.281$ becomes 0.2(tenths)8(hundredths)1(thousandths). Count the positions!

Do I need to worry about zeros in decimal places?

Yes! If a number like 0.205 had a zero in the hundredths place, that zero counts as the hundredths digit. Every position has a digit, even if it's zero.

🌟 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