Determine the Place Value in 0.7: Decimal Position Analysis

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

Use this pattern: tenths, hundredths, thousandths. Each place gets smaller by dividing by 10. The first position after the decimal is always tenths!

Q: Why is 0.7 called seven tenths and not just seven?

Because 0.7 means $ \frac{7}{10} $ - you have 7 pieces out of 10 equal parts. The position after the decimal tells you the denominator!

Q: What's the difference between 0.7 and 0.007?

Position matters! 0.7 is in the tenths place (7/10), while 0.007 is in the thousandths place (7/1000). Same digit, very different values!

Decimal Place Values with Tenths Position

Determine the place value of 0.7

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Step-by-step written solution

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Understand the problem

Determine the place value of 0.7

Step-by-step solution

To determine the place value of the digit '7' in the decimal number 0.7, we'll follow these steps:

Step 1: Understand the decimal system where each position represents a fraction with a denominator that is a power of 10.
Step 2: Identify the position of the digit '7' in 0.7.
Step 3: Convert the decimal form to a fractional form to indicate its place value.

Now, let's work through each step:

Step 1: In the decimal system, each digit has a place value. The place value of the first digit to the right of the decimal point is in the tenths place.
Step 2: The digit '7' in the number 0.7 is in the first place to the right of the decimal point, which corresponds to the tenths place.
Step 3: The decimal 0.7 can be expressed as a fraction: $\frac{7}{10}$ . This indicates that the '7' represents seven tenths.

Therefore, the place value of 0.7 is seven tenths.

Final Answer

Seven tenths

Key Points to Remember

Essential concepts to master this topic

Rule: First digit after decimal point represents the tenths place
Technique: Convert 0.7 to fraction form: $\frac{7}{10}$
Check: Read position name aloud: 0.7 = "seven tenths" ✓

Common Mistakes

Avoid these frequent errors

Confusing tenths with tens or thousands place
Don't read 0.7 as "seven tens" or "seven thousands" = completely wrong place value! Moving the decimal changes everything by powers of 10. Always count positions carefully from the decimal point.

Practice Quiz

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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 gets smaller by dividing by 10. The first position after the decimal is always tenths!

Why is 0.7 called seven tenths and not just seven?

Because 0.7 means $\frac{7}{10}$ - you have 7 pieces out of 10 equal parts. The position after the decimal tells you the denominator!

What's the difference between 0.7 and 0.007?

Position matters! 0.7 is in the tenths place (7/10), while 0.007 is in the thousandths place (7/1000). Same digit, very different values!

How can I convert between decimal and fraction forms?

Count decimal places to find the denominator: 1 place = tenths (÷10), 2 places = hundredths (÷100), 3 places = thousandths (÷1000). So 0.7 = $\frac{7}{10}$ !

Is there a pattern to place value names?

Yes! To the right of decimal: tenths, hundredths, thousandths (add "ths"). To the left: ones, tens, hundreds, thousands. Notice how they mirror each other!

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