Decimal Numbers - Grade 4 Maths Questions With Answers

This page is designed to help students, parents, and teachers master the topic of decimal numbers through carefully selected practice questions and step-by-step solutions with explanations. Each solution provides the reasoning behind every step, helping learners build a strong foundation in arithmetic and problem-solving.

Questions and Solutions

  1. Calculate the conversion: \[\frac{1}{10} = ?\]
    1. \(0.01\)
    2. \(0.1\)
    3. \(1.0\)
    4. \(10.0\)
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    Problem: \(\frac{1}{10}\)

    Explanation: One tenth can be written as a decimal by placing 1 in the first decimal place (tenths place).

    Therefore, the correct option is B.

  2. Calculate the conversion: \[\frac{12}{100} = ?\]
    1. \(0.012\)
    2. \(0.012\)
    3. \(1.2\)
    4. \(0.12\)
    View Step-by-Step Solution

    Problem: \(\frac{12}{100}\)

    Explanation: Twelve hundredths means 12 divided by 100, which moves the decimal point two places to the left.

    \(12 \div 100 = 0.12\). Therefore, the correct option is D.

  3. Calculate the conversion: \[\frac{1}{100} = ?\]
    1. \(0.01\)
    2. \(0.1\)
    3. \(1.0\)
    4. \(10.0\)
    View Step-by-Step Solution

    Problem: \(\frac{1}{100}\)

    Explanation: One hundredth is written with 1 in the second decimal place (hundredths place).

    Therefore, the correct option is A.

  4. Calculate the sum: \[12.5 + 13.3 = ?\]
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    Problem: \(12.5 + 13.3\)

    Explanation: Align the decimal points and add column by column:

    Tenths: \(5 + 3 = 8\)

    Ones: \(2 + 3 = 5\)

    Tens: \(1 + 1 = 2\)

    The total sum is \(25.8\).

  5. Calculate the sum: \[125.5 + 45.32 = ?\]
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    Problem: \(125.5 + 45.32\)

    Explanation: Write \(125.5\) as \(125.50\) to align decimal places:

    \(125.50 + 45.32 = 170.82\).

  6. Calculate the sum: \[0.05 + 0.12 = ?\]
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    Problem: \(0.05 + 0.12\)

    Explanation: Add the hundredths (\(5 + 12 = 17\)) to get \(0.17\).

  7. Conceptual Question: Six tenths is the same as:
    1. \(60\)
    2. \(0.6\)
    3. \(6.0\)
    4. \(0.06\)
    View Step-by-Step Solution

    Problem: Six tenths

    Explanation: Six tenths is written as a fraction \(\frac{6}{10}\), which equals \(0.6\).

    Therefore, the correct option is B.

  8. Conceptual Question: Fifty two hundredths is the same as:
    1. \(0.52\)
    2. \(52.0\)
    3. \(5200\)
    4. \(5.2\)
    View Step-by-Step Solution

    Problem: Fifty two hundredths

    Explanation: Fifty two hundredths is \(\frac{52}{100}\), which equals \(0.52\).

    Therefore, the correct option is A.

  9. Conceptual Question: Three hundredths is the same as:
    1. \(0.3\)
    2. \(300.0\)
    3. \(300\)
    4. \(0.03\)
    View Step-by-Step Solution

    Problem: Three hundredths

    Explanation: Three hundredths is \(\frac{3}{100}\), which equals \(0.03\).

    Therefore, the correct option is D.

  10. Ordering Numbers: Order from least to greatest the numbers: 29.29, 0.29, 92.92, 0.029
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    Problem: Order from least to greatest: \(29.29, 0.29, 92.92, 0.029\)

    Explanation: Compare place values from left to right. The numbers ordered from least to greatest are:

    \(0.029, 0.29, 29.29, 92.92\).

  11. Ordering Numbers: Order from greatest to least the numbers: 9.29, 9.39, 9.28, 9.91
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    Problem: Order from greatest to least: \(9.29, 9.39, 9.28, 9.91\)

    Explanation: Compare the tenths place. The numbers ordered from greatest to least are:

    \(9.91, 9.39, 9.29, 9.28\).

  12. Word Problem: Smith spent $5.25 for a meal and $1.75 for a drink. How much did Smith spend?
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    Problem: \(\$5.25 + \$1.75\)

    Explanation: Add the two amounts together:

    \(\$5.25 + \$1.75 = \$7.00\).

  13. Word Problem: Linda cut 12.65 cm from a stick that was 15.5 cm long. How long is the stick now?
    View Step-by-Step Solution

    Problem: \(15.5 - 12.65\)

    Explanation: Subtract the cut length from the initial length. Write \(15.5\) as \(15.50\):

    \(15.50 - 12.65 = 2.85 \text{ cm}\).

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