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Place Value to One Million: Grade 4 Math Test Answer Key – PDF Download

    This grade 4 place test answer key gives the full solution and the scoring guide for each of the 9 test questions on place value to one million.

    This answer key gives the worked solution and the point-by-point scoring for the place value test. Add the points for all nine questions to get a score out of 20. A score of 16 or more shows strong understanding of place value and comparing numbers.

    Grade 4Common Core: 4.NBT.A.1 · 4.NBT.A.2

    Grade 4 Place Test Answer Key: questions 1–5

    Question 1: Value of a digit (2 points)

    Ones periodThousands periodHundredThousandsTenThousandsThousandsHundredsTensOnes748205700,00040,0008,00020005
    The 7 is in the hundred thousands place and the 4 is in the ten thousands place.
    1. The 7 is in the hundred thousands place: 700,000.
    2. The 4 is in the ten thousands place: 40,000.

    Scoring: 1 point for each correct value. Give no credit for 7 or 4 alone.

    Question 2: Ten times as much (2 points)

    1. \(2 \times 10 = 20\) and \(200 \times 10 = 2{,}000\). The missing numbers are 20 and 2,000.
    2. The 5 in the thousands place is worth 5,000. The 5 in the hundreds place is worth 500. \(500 \times 10 = 5{,}000\), so it is 10 times as much.

    Scoring: 1 point for both missing numbers (give no credit if only one is right). 1 point for the answer 10 times .

    Question 3: Names and numerals (2 points)

    1. seventy thousand four hundred eight
    2. 312,605

    Scoring: 1 point for each correct answer. Accept a comma after thousand in part (a).

    Question 4: Expanded form (2 points)

    1. \(50{,}000 + 6{,}000 + 30\). The ones and hundreds places hold 0, so they are left out.
    2. 2 hundred thousands, 0 ten thousands, 9 thousands, 0 hundreds, 4 tens, 7 ones: 209,047.

    Scoring: 1 point each. In part (a), do not accept 5,000 + 600 + 30.

    Question 5: Compare numbers (2 points)

    1. The first difference is in the tens place: 0 is less than 2. \(38{,}502 < 38{,}520\)
    2. 410,006 has six digits and 99,999 has five. \(410{,}006 > 99{,}999\)

    Scoring: 1 point for each correct symbol.

    Grade 4 Place Test Answer Key: questions 6–9

    Question 6: Order four numbers (2 points)

    6,345 has four digits, so it is least. The others share 63 on the left. Their hundreds digits are 4, 0, 4 (63,450; 63,054; 63,405), so 63,054 is next. Then compare the tens of 63,450 and 63,405: 5 is greater than 0.

    6,345; 63,054; 63,405; 63,450

    Scoring: 2 points for the correct order. 1 point if exactly one pair of neighbors is swapped.

    Question 7: Place-value disks (3 points)

    Ones periodThousands periodHundredThousandsTenThousandsThousandsHundredsTensOnes4073940,0000700309
    The number shown by the disks.
    1. 40,739
    2. forty thousand seven hundred thirty-nine
    3. \(40{,}000 + 700 + 30 + 9\)

    Scoring: 1 point for each part. In part (c), the 0 thousands place must not be written as a term.

    Question 8: Explain the sixes (3 points)

    Ones periodThousands periodHundredThousandsTenThousandsThousandsHundredsTensOnes6606060,0006,0000600
    The three 6s in 66,060 are worth 60,000; 6,000; and 60.
    1. The 6s are worth 60,000; 6,000; and 60.
    2. \(6{,}000 \times 10 = 60{,}000\), so it is 10 times as much.
    3. Gabe is not correct. The first different place is the hundreds place: 0 in 66,060 and 6 in 66,600. So \(66{,}060 < 66{,}600\).

    Scoring: 1 point for all three values; 1 point for 10 times ; 1 point for saying not correct with the hundreds-place reason.

    Question 9: Sofia's number (2 points)

    1. \(700{,}000 + 30{,}000 + 500 + 2 = \)730,502
    2. The first three digits match. In the hundreds place, 5 is greater than 2. \(730{,}502 > 730{,}250\)

    Scoring: 1 point each. In part (b), accept the comparison for the student’s own numeral if it is written correctly.

    Scoring summary

    Total

    20 points: add the points of every question of this grade 4 place test answer key.

    How to use this grade 4 place test answer key

    Use this grade 4 place test answer key to score the test fairly and to see which skills need more practice.

    Next step after this grade 4 place test answer key: Place Value to One Million quiz

    Printable PDF · Test Answer Key

    Grade 4 Place Value to One Million test answer key

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