Testinar Grade 6 math

Decimal Operations

Students will build Grade 6 mastery of decimal operations using models, equations, and test-style reasoning.

CH02-03 The Number System
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 \(4.6\times0.8\)?

    1. \(3.68\)
    2. \(36.8\)
    3. \(0.368\)
    4. \(5.4\)

  2. Compute: \(12.7+8.45\)

    1. \(20.112\)
    2. \(4.25\)
    3. \(21.52\)
    4. \(21.15\)

  3. What is \(25.6 - 13.8\)?

    1. \(11.8\)
    2. \(12.2\)
    3. \(38.4\)
    4. \(39.4\)

  4. Estimate the product: \(7.9 \times 4.2\). Which is closest?

    1. \(32\)
    2. \(12\)
    3. \(28\)
    4. \(40\)

  5. A receipt shows three items: $5.25, $12.99, and $8.50. What is the total?

    1. $26.74
    2. $25.74
    3. $27.00
    4. $18.24

  6. Divide: \(18.4 \div 4\)

    1. \(4.6\)
    2. \(46\)
    3. \(4.06\)
    4. \(14.4\)

  7. Which multiplication has the decimal point in the correct place?

    1. \(2.3 \times 5.1 = 117.3\)
    2. \(2.3 \times 5.1 = 1173\)
    3. \(2.3 \times 5.1 = 11.73\)
    4. \(2.3 \times 5.1 = 1.173\)

  8. Find the sum: \(0.75 + 1.4 + 2.1\)

    1. \(3.15\)
    2. \(4.25\)
    3. \(4.35\)
    4. \(4.15\)
Teacher and parent reference

Answer key and explanations

  1. A. \(3.68\)

    Treat it like whole numbers first: \(46\times8=368\). Together the factors tuck in two decimal places, so the "real" answer is cozy at \(3.68\).

  2. D. \(21.15\)

    Align decimal points: \(12.70 + 8.45 = 21.15\). Stack and add, carrying as needed.

  3. A. \(11.8\)

    Align the decimal points. In the tenths place, \(6\) is smaller than \(8\), so regroup one whole as ten tenths: the \(5\) becomes \(4\) and the tenths become \(16\). Then \(16 - 8 = 8\) tenths, \(4 - 3 = 1\) one, and \(2 - 1 = 1\) ten, so the result is \(11.8\).

  4. A. \(32\)

    Roughly, \(8 \times 4 = 32\) since \(7.9\) is near \(8\) and \(4.2\) is near \(4\). That ballpark is what estimation is for---save the exact digits for when you need them.

  5. A. $26.74

    Add: $5.25 + $12.99 + $8.50 = $26.74. Align decimal points for money.

  6. A. \(4.6\)

    Sharing \(18.4\) across four equal groups yields \(4.6\). Multiply back cheerfully: \(4 \times 4.6 = 18.4\) feels just right.

  7. C. \(2.3 \times 5.1 = 11.73\)

    \(23 \times 51 = 1173\). We have \(1 + 1 = 2\) decimal places total, so \(11.73\) is correct.

  8. B. \(4.25\)

    Add: \(0.75 + 1.40 + 2.10 = 4.25\). Align all decimal points first.

Free Testinar sample Reviewed November 6, 2026 testinar.com
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