Place Value Analysis: Finding Positions in 6.005

Q: How do I remember the order of decimal place values?

Use the pattern: tenths, hundredths, thousandths. Notice each name has more letters as you move right! You can also remember that thousandths comes after hundredths just like 1000 comes after 100.

Q: Why does 6.005 have zeros in the middle?

The zeros are placeholders! They show that there are no tenths (0.0__) and no hundredths (0.00_), but there are 5 thousandths (0.005). Without the zeros, we couldn't tell which decimal position the 5 occupies.

Q: Is 6.005 the same as 6.05 or 6.5?

No! These are completely different numbers. 6.005 = six and five thousandths, 6.05 = six and five hundredths, 6.5 = six and five tenths. The number of decimal places matters!

Q: How do I say 6.005 out loud?

Say 'six point zero zero five' or 'six and five thousandths'. Both are correct, but the second version shows you understand the place values better.

Q: What if there are more decimal places?

Keep counting! After thousandths comes ten-thousandths, then hundred-thousandths, then millionths. Each position is 10 times smaller than the one before it.

Place Value with Decimal Thousandths

Determine the place value of 6.005

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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 6.005

Step-by-step solution

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

Step 1: Identify the place value of each digit in the number 6.005.
Step 2: Associate each digit with its corresponding place value.
Step 3: Match our findings with the provided answer choices.

Let's work through each step:

Step 1: The number 6.005 can be broken down as follows:
- The digit 6 is in the ones place.
- The digit 0 is in the tenths place.
- The digit 0 is in the hundredths place.
- The digit 5 is in the thousandths place.

Step 2: Converting our understanding to words, the number reads as "six ones and five thousandths."

Step 3: Comparing to answer choices, the correct description of the place values of 6.005 is "six ones and five thousandths." This matches choice 1.

Therefore, the solution to the problem is six ones and five thousandths.

Final Answer

Six ones and five thousandths

Key Points to Remember

Essential concepts to master this topic

Rule: Each digit's position determines its place value name
Technique: Count positions right of decimal: tenths, hundredths, thousandths
Check: Read 6.005 as 'six ones and five thousandths' ✓

Common Mistakes

Avoid these frequent errors

Confusing tenths, hundredths, and thousandths positions
Don't call the 5 in 6.005 'five tenths' or 'five hundredths' = wrong place value! The 5 is in the third decimal position (thousandths), not first (tenths) or second (hundredths). Always count decimal positions carefully from left to right.

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 place values?

Use the pattern: tenths, hundredths, thousandths. Notice each name has more letters as you move right! You can also remember that thousandths comes after hundredths just like 1000 comes after 100.

Why does 6.005 have zeros in the middle?

The zeros are placeholders! They show that there are no tenths (0.0__) and no hundredths (0.00_), but there are 5 thousandths (0.005). Without the zeros, we couldn't tell which decimal position the 5 occupies.

Is 6.005 the same as 6.05 or 6.5?

No! These are completely different numbers. 6.005 = six and five thousandths, 6.05 = six and five hundredths, 6.5 = six and five tenths. The number of decimal places matters!

How do I say 6.005 out loud?

Say 'six point zero zero five' or 'six and five thousandths'. Both are correct, but the second version shows you understand the place values better.

What if there are more decimal places?

Keep counting! After thousandths comes ten-thousandths, then hundred-thousandths, then millionths. Each position is 10 times smaller than the one before it.

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