Testinar Grade 5 math

Dividing Decimals by Decimals

Students will divide decimals by decimals using equivalent expressions and place-value reasoning.

CH03-04 Decimal Operations
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. What is \(3.6 \times 2.4\)?

    1. \(8.64\)
    2. \(8.84\)
    3. \(9.44\)
    4. \(9.64\)

  2. Maria buys 5 erasers at $0.75 each. How much does she spend?

    1. $3.25
    2. $3.50
    3. $3.75
    4. $4.00

  3. Estimate: \(6.8 \times 4.9\). Which is the best estimate?

    1. \(20\)
    2. \(25\)
    3. \(30\)
    4. \(35\)

  4. What is \(2.4 \div 3\)?

    1. \(0.8\)
    2. \(0.9\)
    3. \(7.2\)
    4. \(8.0\)

  5. A number line shows where a product lands. What point represents \(0.5 \times 8\)?

    Multiplying and Dividing with Decimal Reasoning visual for G5-C02-T14-Q005
    1. \(2\)
    2. \(3\)
    3. \(4\)
    4. \(5\)

  6. When you multiply 7.2 by a number less than 1, what will be true about the product?

    1. The product is larger than 7.2
    2. The product is smaller than 7.2
    3. The product equals 7.2
    4. The product is negative

  7. Which multiplication problem is set up correctly to solve \(5.4 \times 3\)?

    Multiplying and Dividing with Decimal Reasoning visual for G5-C02-T14-Q007
    1. Option A
    2. Option D
    3. Option C
    4. Option B

  8. What is \(6.3 \div 3\)?

    1. \(1.8\)
    2. \(2.0\)
    3. \(2.1\)
    4. \(9.0\)
Teacher and parent reference

Answer key and explanations

  1. A. \(8.64\)

    Multiply as if the numbers were whole numbers: \(36 \times 24 = 864\). The factors \(3.6\) and \(2.4\) have a total of \(1 + 1 = 2\) decimal places, so place the decimal point two places from the right: \(864 arrow 8.64\). Therefore, \(3.6 \times 2.4 = 8.64\).

  2. C. $3.75

    Multiply \(5 \times 0.75 = 3.75\). Since \(0.75\) has 2 decimal places and 5 has 0, the product has 2 decimal places: $3.75.

  3. D. \(35\)

    Round \(6.8 \approx 7\) and \(4.9 \approx 5\). Then \(7 \times 5 = 35\).

  4. A. \(0.8\)

    Divide: \(2.4 \div 3 = 0.8\). You can think of this as \(24 \div 3 = 8\), then place the decimal one place from the right: \(0.8\).

  5. C. \(4\)

    \(0.5 \times 8 = 4\), so the point belongs exactly at \(4\) on the number line.

  6. B. The product is smaller than 7.2

    When a number is multiplied by a factor less than 1, the product is smaller than the original number.

  7. D. Option B

    \(5.4\) has 1 decimal place. \(54 \times 3 = 162\), so we move the decimal 1 place left: \(16.2\).

  8. C. \(2.1\)

    \(6.3 \div 3 = 2.1\). Think of \(63 \div 3 = 21\), then place decimal one place from right: \(2.1\).

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