Fill out each column to show how to rewrite fractions with a power of 10 in the denominator as decimals.



Place Value:



Tenths

Hundredths

Thousandths



Fraction:



How many zeros are in the denominator?

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Fraction:



How many zeros are in the denominator?

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Fraction:



How many zeros are in the denominator?

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Decimal:
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How many digits are after the decimal point?

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Decimal:
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How many digits are after the decimal point?
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Decimal:
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How many digits are after the decimal point?
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Example:

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11 answers

To help you rewrite fractions with a power of 10 in the denominator as decimals, let's first fill out each column step by step based on the structure you've provided:

Place Value:

  1. Tenths:

    • Example Fraction: \( \frac{3}{10} \)
    • How many zeros are in the denominator? 1
    • Decimal: 0.3
    • How many digits are after the decimal point? 1
  2. Hundredths:

    • Example Fraction: \( \frac{25}{100} \)
    • How many zeros are in the denominator? 2
    • Decimal: 0.25
    • How many digits are after the decimal point? 2
  3. Thousandths:

    • Example Fraction: \( \frac{456}{1000} \)
    • How many zeros are in the denominator? 3
    • Decimal: 0.456
    • How many digits are after the decimal point? 3

Example Responses:

Tenths:

  • Example: \( \frac{3}{10} = 0.3 \) (1 digit after decimal)

Hundredths:

  • Example: \( \frac{25}{100} = 0.25 \) (2 digits after decimal)

Thousandths:

  • Example: \( \frac{456}{1000} = 0.456 \) (3 digits after decimal)

Summary:

  • For tenths, there is 1 zero, resulting in 1 digit after the decimal.
  • For hundredths, there are 2 zeros, resulting in 2 digits after the decimal.
  • For thousandths, there are 3 zeros, resulting in 3 digits after the decimal.

Feel free to use similar fractions and examples based on this structure for filling out your question blanks!

is it 0.001?

Yes, \(0.001\) is the decimal equivalent of the fraction \( \frac{1}{1000} \).

In this context:

  • Fraction: \( \frac{1}{1000} \)
  • How many zeros are in the denominator?: 3 (because \(1000\) has three zeros)
  • Decimal: 0.001
  • How many digits are after the decimal point?: 3 (since \(0.001\) has three digits after the decimal)

So if you're asking about the conversion for \( \frac{1}{1000} \), your notation and understanding are correct!

what abt Hundredths

For hundredths, we are looking at fractions where the denominator is 100. Here's how the conversion works:

Hundredths

  • Example Fraction: \( \frac{25}{100} \)
  • How many zeros are in the denominator?: 2 (because 100 has two zeros)
  • Decimal: 0.25 (since 25 divided by 100 equals 0.25)
  • How many digits are after the decimal point?: 2 (because there are two digits in 0.25 after the decimal point)

Summary:

  • For hundredths, fractions will be in the form \( \frac{n}{100} \), where \( n \) can be any whole number.
  • They convert directly to decimals by placing the numerator \( n \) in front of the decimal point and dividing by 100.

More Examples:

  1. \( \frac{1}{100} = 0.01 \)

    • How many zeros in the denominator? 2
    • Digits after the decimal? 2
  2. \( \frac{50}{100} = 0.50 \)

    • How many zeros in the denominator? 2
    • Digits after the decimal? 2

If you have any other specific examples or questions about hundredths, feel free to ask!

is it 0.01 or 0.001 for Hundredths

For hundredths, the correct decimal representation is 0.01.

Here's the breakdown:

  • Fraction: \( \frac{1}{100} \)
  • Decimal: 0.01 (because \(1\) divided by \(100\) equals \(0.01\))
  • How many zeros are in the denominator?: 2 (since \(100\) has two zeros)
  • How many digits are after the decimal point?: 2 (since there are two digits in \(0.01\) after the decimal)

To clarify:

  • 0.001 corresponds to hundredths if you are looking for the decimal equivalent of \( \frac{1}{1000} \) (which is a thousandth), not for hundredths.

So for hundredths, the answer is always related to a denominator of \(100\) and the resulting decimal is in the form of 0.01 through 0.99.

and is it 0.1 or 0.001 or 0.01

For clarity, here’s how each of these decimals corresponds to their respective fractions:

  1. 0.1 corresponds to the fraction \(\frac{1}{10}\):

    • This represents tenths.
    • The denominator is \(10\) (which has 1 zero).
  2. 0.01 corresponds to the fraction \(\frac{1}{100}\):

    • This represents hundredths.
    • The denominator is \(100\) (which has 2 zeros).
  3. 0.001 corresponds to the fraction \(\frac{1}{1000}\):

    • This represents thousandths.
    • The denominator is \(1000\) (which has 3 zeros).

Summary:

  • Tenths: \( \frac{1}{10} = 0.1 \)
  • Hundredths: \( \frac{1}{100} = 0.01 \)
  • Thousandths: \( \frac{1}{1000} = 0.001 \)

So, to answer your question directly:

  • For tenths, it is 0.1.
  • For hundredths, it is 0.01.
  • For thousandths, it is 0.001.

If you need further clarification or specific examples, feel free to ask!

Example: 7/10

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Examples: 5/10 and 29/100



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Examples:


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Let's fill in the blanks based on the examples of fractions and their decimal equivalents.

Example:

  • Fraction: \( \frac{7}{10} \)
  • Decimal: \( 0.7 \)

Now let's fill in the other question blanks:

  1. Examples: \( \frac{5}{10} \)

    • Decimal: \( 0.5 \)
  2. Examples: \( \frac{29}{100} \)

    • Decimal: \( 0.29 \)

Completing the remaining question blanks:

  1. Example: \( \frac{1}{10} = 0.1 \)

    • Question Blank 10: \( 0.7 \) (from \( \frac{7}{10} \))
    • Question Blank 11: \( 0.5 \) (from \( \frac{5}{10} \))
    • Question Blank 12: \( 0.29 \) (from \( \frac{29}{100} \))
  2. Examples: (Additional Variants for Explanation)

    • Example: \( \frac{2}{10} \) = \( 0.2 \)
    • Example: \( \frac{15}{100} = 0.15 \)
    • Example: \( \frac{100}{1000} = 0.1 \)

Filling in the last question blanks:

  • Question Blank 13: \( 0.2 \) (from \( \frac{2}{10} \))
  • Question Blank 14: \( 0.15 \) (from \( \frac{15}{100} \))
  • Question Blank 15: \( 0.1 \) (from \( \frac{100}{1000} \))

Final Summary:

Here’s how it all looks:

  1. \( \frac{7}{10} = 0.7 \) (Question Blank 10)
  2. \( \frac{5}{10} = 0.5 \) (Question Blank 11)
  3. \( \frac{29}{100} = 0.29 \) (Question Blank 12)
  4. \( \frac{2}{10} = 0.2 \) (Question Blank 13)
  5. \( \frac{15}{100} = 0.15 \) (Question Blank 14)
  6. \( \frac{100}{1000} = 0.1 \) (Question Blank 15)

If you need any more details or examples, feel free to ask!