Place Value Analysis: Finding Digit Positions in 7.02

Q: Why does the 0 in 7.02 matter if it's just zero?

The zero is a placeholder that keeps the 2 in the correct hundredths position! Without it, 7.2 would mean 'seven and two tenths' instead of 'seven and two hundredths'.

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

Think of it like this: tenths, hundredths, thousandths - they follow the same pattern as whole numbers but with 'ths' added. Each position gets 10 times smaller as you move right.

Q: What's the difference between 7.2 and 7.02?

$ 7.2 $ means seven and two tenths, while $ 7.02 $ means seven and two hundredths. The second number is much smaller because hundredths are smaller than tenths!

Q: Can I ignore zeros when reading decimal place values?

Never ignore zeros in the middle of decimal numbers! They're placeholders that determine where other digits belong. Only trailing zeros at the very end can sometimes be ignored.

Place Value Identification with Decimal Numbers

Determine the place value of 7.02

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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 7.02

Step-by-step solution

To solve this problem, we need to analyze the decimal number $7.02$ and determine the place values of its digits:

First, observe the digit before the decimal point, which is $7$ . This digit is in the 'ones' place, representing seven units or ones.
After the decimal point, the digit $0$ is in the tenths place, which contributes zero tenths to the number.
The next digit, $2$ , is in the hundredths place. Therefore, it represents two hundredths.

By breaking down the number $7.02$ , we can express it as:

Seven ones
Zero tenths
Two hundredths

Thus, correctly identifying the place values gives us: seven ones and two hundredths.

Therefore, the correct answer is: Seven ones and two hundredths.

Final Answer

Seven ones and two hundredths

Key Points to Remember

Essential concepts to master this topic

Rule: Each position after decimal has specific place value names
Technique: First decimal position is tenths, second is hundredths: $7.02$
Check: Count positions from decimal point: 0 in tenths, 2 in hundredths ✓

Common Mistakes

Avoid these frequent errors

Confusing tenths and hundredths positions
Don't read 7.02 as 'seven and two tenths' = wrong place value! The 2 is in the second decimal position (hundredths), not first (tenths). Always count positions carefully from the decimal point.

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

Why does the 0 in 7.02 matter if it's just zero?

The zero is a placeholder that keeps the 2 in the correct hundredths position! Without it, 7.2 would mean 'seven and two tenths' instead of 'seven and two hundredths'.

How do I remember the order of decimal place values?

Think of it like this: tenths, hundredths, thousandths - they follow the same pattern as whole numbers but with 'ths' added. Each position gets 10 times smaller as you move right.

What's the difference between 7.2 and 7.02?

$7.2$ means seven and two tenths, while $7.02$ means seven and two hundredths. The second number is much smaller because hundredths are smaller than tenths!

Can I ignore zeros when reading decimal place values?

Never ignore zeros in the middle of decimal numbers! They're placeholders that determine where other digits belong. Only trailing zeros at the very end can sometimes be ignored.

How do I read longer decimals like 3.405?

Break it down by position: 3 ones, 4 tenths, 0 hundredths, 5 thousandths. So it reads as 'three and four hundred five thousandths' or separately as the place values.

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