Testinar Grade 4 math

Decimal Notation for Fractions

Students will write fractions with denominators of 10 or 100 using decimal notation and explain each digit's value.

CH06-02 Decimal Fractions
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. Write \(\frac{47}{100}\) as a decimal.

    1. \(0.047\)
    2. \(0.47\)
    3. \(4.7\)
    4. \(47.0\)

  2. Write \(\frac{6}{10}\) as a decimal.

    1. \(0.06\)
    2. \(0.6\)
    3. \(6.0\)
    4. \(60.0\)

  3. Which decimal is equal to \(\frac{35}{100}\)?

    1. \(0.035\)
    2. \(0.35\)
    3. \(3.5\)
    4. \(35.0\)

  4. Write \(0.7\) as a fraction with denominator \(10\).

    1. \(\frac{7}{100}\)
    2. \(\frac{70}{100}\)
    3. \(\frac{7}{10}\)
    4. \(\frac{70}{10}\)

  5. Express \(0.23\) as a fraction.

    1. \(\frac{23}{10}\)
    2. \(\frac{23}{100}\)
    3. \(\frac{2}{3}\)
    4. \(\frac{23}{1000}\)

  6. Which of these is NOT equivalent to \(0.3\)?

    1. \(\frac{3}{10}\)
    2. \(0.30\)
    3. \(\frac{30}{100}\)
    4. \(\frac{3}{100}\)

  7. What decimal represents \(\frac{8}{10}\)?

    1. \(0.08\)
    2. \(0.88\)
    3. \(8.0\)
    4. \(0.8\)

  8. Mia has \(0.4\) of a pizza. How can she write this as a fraction with denominator \(10\)?

    1. \(\frac{4}{100}\)
    2. \(\frac{4}{10}\)
    3. \(\frac{40}{100}\)
    4. \(\frac{4}{1000}\)
Teacher and parent reference

Answer key and explanations

  1. B. \(0.47\)

    Hundredths fill the second decimal place. \(\frac{47}{100} = 0.47\), so the answer is \(\mathbf{0.47}\).

  2. B. \(0.6\)

    Tenths fill the first decimal place. \(\frac{6}{10} = 0.6\), so the answer is \(\mathbf{0.6}\).

  3. B. \(0.35\)

    Thirty-five hundredths uses both decimal places: \(\frac{35}{100} = 0.35\), so the answer is \(\mathbf{0.35}\).

  4. C. \(\frac{7}{10}\)

    \(0.7\) is zero point seven, which is read as seven tenths. That means \(0.7 = \frac{7}{10}\).

  5. B. \(\frac{23}{100}\)

    When you see \(0.23\), you're looking at twenty-three hundredths: \(0.23 = \frac{23}{100}\).

  6. D. \(\frac{3}{100}\)

    Three tenths can be written as \(0.3\), \(0.30\), \(\frac{3}{10}\), or \(\frac{30}{100}\). But \(\frac{3}{100} = 0.03\) is only 3 hundredths, so it doesn't match.

  7. D. \(0.8\)

    Eight tenths fills the first decimal place: \(\frac{8}{10} = 0.8\).

  8. B. \(\frac{4}{10}\)

    \(0.4\) is zero point four, which is four tenths: \(0.4 = \frac{4}{10}\). That's the answer Mia is looking for.

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