Decimal Place Value: Finding 3 in Tenths and 9 in Thousandths Positions

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

Use this memory trick: "Ten Hundred Thousand" - Tenths, Hundredths, Thousandths. They follow the same pattern as whole numbers, but in reverse order after the decimal point!

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

You can add zeros to the right of existing decimal digits. For example, $578.30$ is the same as $578.300$, so the thousandths digit would be 0.

Q: Why does 578,409 not work for this problem?

The comma makes this a whole number (578,409), not a decimal! There's no decimal point, so there are no tenths or thousandths positions to check.

Q: Can I have the same digit in different decimal places?

Absolutely! A number like $333.333$ has 3 in every position. The question asks for specific digits in specific places, and that's completely possible.

Q: How do I double-check my answer?

Point to each decimal place and say its name out loud: "9-4-3 point 3-0-9" becomes "tenths is 3, hundredths is 0, thousandths is 9." Then verify both conditions are met!

Decimal Place Value with Specific Position Requirements

Identify which of the following numbers has 3 as its tenths digit and 9 as its thousandths digit?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Identify which of the following numbers has 3 as its tenths digit and 9 as its thousandths digit?

Step-by-step solution

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

Step 1: Analyze the tenths digit of each number.
Step 2: Examine the thousandths digit of each number.
Step 3: Confirm which number meets both digit conditions.

Now, let's work through each step:
Step 1: For number $943.578$ , the tenths digit is '5'.
Step 1: For number $943.309$ , the tenths digit is '3'.
Step 1: For number $578.308$ , the tenths digit is '3'.
Step 1: For number $578,409$ , the tenths digit is incorrectly formatted for analysis as a decimal.

Step 2: For number $943.578$ , the thousandths digit is '8'.
Step 2: For number $943.309$ , the thousandths digit is '9'.
Step 2: For number $578.308$ , the thousandths digit is '8'.

Step 3: Examining conditions, $943.309$ has '3' as the tenths digit and '9' as the thousandths digit. The number $943.309$ perfectly matches the specified conditions.

Therefore, the solution to the problem is 943.309.

Final Answer

943.309

Key Points to Remember

Essential concepts to master this topic

Place Value Order: Tenths, hundredths, then thousandths after decimal point
Technique: Count positions right from decimal: 943.309 has 3 in tenths
Check: Verify both conditions met in same number: tenths=3, thousandths=9 ✓

Common Mistakes

Avoid these frequent errors

Confusing decimal place positions
Don't count from the wrong direction or mix up tenths/hundredths/thousandths = choosing wrong answer! Students often think hundredths comes before tenths or count from the right instead of left. Always count positions moving right from the decimal point: first is tenths, second is hundredths, third is thousandths.

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 memory trick: "Ten Hundred Thousand" - Tenths, Hundredths, Thousandths. They follow the same pattern as whole numbers, but in reverse order after the decimal point!

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

You can add zeros to the right of existing decimal digits. For example, $578.30$ is the same as $578.300$ , so the thousandths digit would be 0.

Why does 578,409 not work for this problem?

The comma makes this a whole number (578,409), not a decimal! There's no decimal point, so there are no tenths or thousandths positions to check.

Can I have the same digit in different decimal places?

Absolutely! A number like $333.333$ has 3 in every position. The question asks for specific digits in specific places, and that's completely possible.

How do I double-check my answer?

Point to each decimal place and say its name out loud: "9-4-3 point 3-0-9" becomes "tenths is 3, hundredths is 0, thousandths is 9." Then verify both conditions are met!

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