Testinar Grade 5 math

Comparing and Ordering Decimals

Students will compare and order decimals using place value, models, and symbols.

CH01-04 Decimal Place Value
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. The bar graph shows the box-office revenue (in millions of dollars) for adult and child movie tickets at a local theater each month. Compare the decimal revenues. In which month was the difference between adult and child revenue the greatest? \begin{minipage}{0.5\textwidth} \centering \begin{tikzpicture} \begin{axis}[ width=\linewidth, height=8cm, ymajorgrids=true, grid style={gray!30, dashed}, axis lines=left, xmin=0.5, xmax=4.5, ymin=0, ymax=6, enlargelimits=0.12, xlabel={Month}, ylabel={Revenue (millions $)}, xtick={1,2,3,4}, xticklabels={Jan,Feb,Mar,Apr}, ytick={0,1,2,3,4,5,6}, tick label style={font=\small}, legend style={ at={(0.02,0.98)}, anchor=north west, font=\small, draw=black }, bar width=12pt, ] \addplot+[ybar, bar shift=-7pt, fill=blue!65, draw=black] coordinates { (1,4.0) (2,3.5) (3,4.8) (4,5.0) }; \addplot+[ybar, bar shift=7pt, fill=red!65, draw=black] coordinates { (1,2.5) (2,2.0) (3,3.0) (4,4.2) }; \legend{Adult, Child} \end{axis} \end{tikzpicture} \end{minipage}

    1. January
    2. February
    3. March
    4. April

  2. Which symbol makes the statement true? \[ 0.7 \; \square \; 0.70 \]

    1. \(<\)
    2. \(>\)
    3. \(=\)
    4. \(\neq\)

  3. Compare the decimals: \(0.45\) and \(0.54\). \[ 0.45 \; \square \; 0.54 \]

    1. \(<\)
    2. \(>\)
    3. \(=\)
    4. Cannot compare

  4. Which number is greater than \(3.2\)?

    1. \(3.02\)
    2. \(3.19\)
    3. \(3.15\)
    4. \(3.25\)

  5. Order these decimals from least to greatest: \[ 0.6, \; 0.06, \; 0.66, \; 0.16 \]

    1. \(0.06, 0.16, 0.6, 0.66\)
    2. \(0.06, 0.6, 0.16, 0.66\)
    3. \(0.16, 0.06, 0.66, 0.6\)
    4. \(0.66, 0.6, 0.16, 0.06\)

  6. Use the place-value chart to compare: Which number is greater?

    Comparing Decimals visual for G5-C02-T04-Q006
    1. \(2.35\)
    2. \(2.53\)
    3. They are equal
    4. Cannot tell

  7. Which decimal is equivalent to \(0.3\)?

    1. \(0.03\)
    2. \(0.30\)
    3. \(0.033\)
    4. \(3.0\)

  8. Which statement is true?

    1. \(0.5 \neq 0.50\)
    2. \(0.5 < 0.50\)
    3. \(0.5 > 0.50\)
    4. \(0.5 = 0.50\)
Teacher and parent reference

Answer key and explanations

  1. C. March

    Subtract child revenue from adult revenue for each month and compare the decimal differences: January \(= 4.0 - 2.5 = 1.5\); February \(= 3.5 - 2.0 = 1.5\); March \(= 4.8 - 3.0 = 1.8\); April \(= 5.0 - 4.2 = 0.8\). The greatest difference is \(1.8\) million in March.

  2. C. \(=\)

    Adding a trailing zero does not change the value: \(0.7 = 0.70\) (both equal 7 tenths).

  3. A. \(<\)

    In the tenths place: 4 tenths \(<\) 5 tenths, so \(0.45 < 0.54\).

  4. D. \(3.25\)

    \(3.25 > 3.2\) because 25 hundredths \(>\) 20 hundredths.

  5. A. \(0.06, 0.16, 0.6, 0.66\)

    Compare place by place: 0.06 (6 hundredths) \(<\) 0.16 (16 hundredths) \(<\) 0.6 (60 hundredths) \(<\) 0.66 (66 hundredths).

  6. B. \(2.53\)

    In the tenths place: \(5 > 3\), so \(2.53 > 2.35\) regardless of hundredths.

  7. B. \(0.30\)

    Trailing zeros do not change value: \(0.3 = 0.30 = 0.300\) (all equal 3 tenths).

  8. D. \(0.5 = 0.50\)

    Both equal 5 tenths or 50 hundredths. Trailing zeros do not change the decimal's value.

Free Testinar sample Reviewed November 6, 2026 testinar.com
Page UP