Place Value Analysis: Finding the Position of 0.01 in Decimal Form

Decimal Place Value with Hundredths Position

Determine the place value of 0.01

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1

Understand the problem

Determine the place value of 0.01

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Step-by-step solution

To solve this problem, we need to determine the place value of the decimal number 0.01 0.01 .

Decimal numbers have a structure such that the first digit to the right of the decimal point is in the "tenths" place, the next digit is in the "hundredths" place, followed by the "thousandths" place, and so forth.

Given the number 0.01 0.01 , we observe the following:

  • The digit 0 0 is in the tenths place.
  • The digit 1 1 appears in the hundredths place since it is the second digit to the right of the decimal point.

Therefore, the place value of 0.01 0.01 is the hundredths place. According to our options, the correct place value is Hundredth.

The correct choice from the provided options is choice 3: Hundredth.

3

Final Answer

Hundredth

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each decimal position has a specific name and value
  • Technique: Count positions right from decimal: first=tenths, second=hundredths
  • Check: Verify 0.01=1100 0.01 = \frac{1}{100} confirms hundredths place ✓

Common Mistakes

Avoid these frequent errors
  • Confusing tenths and hundredths positions
    Don't think 0.01 is in the tenths place because it's the first non-zero digit = wrong place value! The position depends on distance from decimal point, not the digit value. Always count positions from the decimal point: first right = tenths, second right = hundredths.

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 is 0.01 called hundredths and not just 'one cent'?

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Great connection! One cent is one hundredth of a dollar, which is exactly 0.01 0.01 . The hundredths place gets its name because it represents 1100 \frac{1}{100} of a whole unit.

How do I remember the order of decimal places?

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Use this pattern: ths endings go right of the decimal! Tenths, hundredths, thousandths. Notice how they match the whole number places but with 'ths' added.

What's the difference between 0.1 and 0.01?

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0.1 0.1 is in the tenths place (first position right), while 0.01 0.01 is in the hundredths place (second position right). Think: 0.1=110 0.1 = \frac{1}{10} vs 0.01=1100 0.01 = \frac{1}{100}

Can I just ignore the zero in 0.01?

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Never! The zero in the tenths place is crucial—it shows that there are zero tenths. Without it, 0.01 would be written as just .1, which is completely different!

How do I know which digit determines the place value?

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The rightmost non-zero digit determines the smallest place value, but you name the place by position, not the digit. In 0.01 0.01 , the 1 is in the hundredths position.

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