Testinar Grade 3 math

Rounding Whole Numbers

Students will use place-value reasoning to round whole numbers to the nearest 10 or 100.

CH02-01 Number and Operations in Base Ten
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 \(367\) rounded to the nearest \(100\)?

    1. \(300\)
    2. \(370\)
    3. \(400\)
    4. \(360\)

  2. When you round \(45\) to the nearest \(10\), why does the ones digit matter more than the hundreds digit?

    1. Because we are rounding to the nearest \(10\), not the nearest \(100\)
    2. Because the ones digit is always bigger
    3. Because \(45\) is a large number
    4. Because \(50\) is better than \(40\)

  3. For a number like \(\_\_\_\), the rounding rule says "look at the tens digit." What does the rounding rule mean by "look"?

    1. Stare at the number with your eyes
    2. Write the tens digit on a separate page
    3. Remember all the numbers you've rounded before
    4. Check whether it is \(5\) or greater to decide if we round up

  4. Two students round differently. Maria says \(127\) rounds to \(130\) (nearest \(10\)). Josh says \(127\) rounds to \(100\) (nearest \(100\)). Are both students correct? Explain.

    1. Both are wrong; the answer is \(125\)
    2. Maria is wrong; Josh is right
    3. Both are correct because they are rounding to different place values
    4. Josh is wrong; Maria is right

  5. Look at the number line. The number marked \(?\) is closest to which value when rounded to the nearest \(10\)?

    Rounding Whole Numbers visual for G3-C02-T01-Q005
    1. \(250\)
    2. \(265\)
    3. \(260\)
    4. \(270\)

  6. Round \(589\) to the nearest \(100\).

    1. \(500\)
    2. \(580\)
    3. \(590\)
    4. \(600\)

  7. Round \(476\) to the nearest \(100\).

    1. \(400\)
    2. \(470\)
    3. \(475\)
    4. \(500\)

  8. What is \(145\) rounded to the nearest \(100\)?

    1. \(100\)
    2. \(140\)
    3. \(150\)
    4. \(200\)
Teacher and parent reference

Answer key and explanations

  1. C. \(400\)

    For \(367\), look at the tens digit (\(6\)). Since \(6\geq5\), round the hundreds digit up: \(367\) rounds to \(400\).

  2. A. Because we are rounding to the nearest \(10\), not the nearest \(100\)

    When rounding to the nearest \(10\), we look at the ones digit to decide if we round up or down. The ones digit is \(5\), so \(45\) rounds to \(50\).

  3. D. Check whether it is \(5\) or greater to decide if we round up

    In rounding, "look at the digit" means check its value to apply the rule: if it's \(5\) or more, round up; if less than \(5\), round down.

  4. C. Both are correct because they are rounding to different place values

    For \(127\): to the nearest \(10\), look at the ones digit (\(7\geq5\)), so it rounds to \(130\). To the nearest \(100\), look at the tens digit (\(2<5\)), so it rounds to \(100\). Both answers are correct for their respective place values.

  5. A. \(250\)

    The point is between \(250\) and \(255\), closer to \(250\). A number like \(251\)--\(254\) rounds to \(250\) (ones digit \(<5\)).

  6. D. \(600\)

    The tens digit is \(8\). Since \(8\geq5\), round up: \(589\) rounds to \(600\).

  7. D. \(500\)

    The tens digit is \(7\). Since \(7\geq5\), round up: \(476\) rounds to \(500\).

  8. A. \(100\)

    The tens digit is \(4\). Since \(4<5\), round down: \(145\) rounds to \(100\).

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