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Multi-Digit Multiplication: Grade 4 Math Test Answer Key – PDF Download

    This grade 4 multiplication test answer key gives the full solution and the scoring guide for each of the 9 test questions on multi-digit multiplication.

    Use this answer key to score the multi-digit multiplication test. Every solution shows the partial products and a scoring guide that explains how the points are awarded, so a student who has the right method but a small slip still earns credit. The total is 20 points.

    Grade 4Common Core: 4.NBT.B.5

    Grade 4 Multiplication Test Answer Key: questions 1–5

    Question 1: Find the products (2 points)

    1. Partial products: \(7 \times 4{,}000 = 28{,}000\), \(7 \times 300 = 2{,}100\), \(7 \times 60 = 420\), \(7 \times 8 = 56\).

      Add: \(28{,}000 + 2{,}100 + 420 + 56 = 30{,}576\).

      30,576

    2. Partial products: \(60 \times 80 = 4{,}800\), \(60 \times 5 = 300\), \(3 \times 80 = 240\), \(3 \times 5 = 15\).

      Add: \(4{,}800 + 300 + 240 + 15 = 5{,}355\).

      5,355

    Scoring: 1 point for each correct product.

    Question 2: Area model (2 points)

    \(40 \times 30 = 1{,}200\), \(40 \times 7 = 280\), \(6 \times 30 = 180\), \(6 \times 7 = 42\).

    406301,200180728042
    Partial products 1,200, 280, 180, 42.

    Total: \(1{,}200 + 280 + 180 + 42 = 1{,}702\). 1,702

    Scoring: 1 point for the four partial products; 1 point for the correct total.

    Question 3: Partial products (2 points)

    Partial products: \(8 \times 3{,}000 = 24{,}000\), \(8 \times 200 = 1{,}600\), \(8 \times 6 = 48\).

    Add: \(24{,}000 + 1{,}600 + 48 = 25{,}648\).

    3,0002006824,0001,60048
    Partial areas 24,000, 1,600, and 48.

    25,648

    Scoring: 1 point for correct partial products; 1 point for the correct total.

    Question 4: Priya's mistake (2 points)

    Priya treated 508 as 50 + 8, but 508 is 500 + 8, so the hundreds part should be 6 × 500 = 3,000.

    Correct: \(3{,}000 + 48 = 3{,}048\). 3,048

    Scoring: 1 point for the explanation; 1 point for the correct product.

    Question 5: Estimate and exact (2 points)

    1. \(50 \times 60 = 3{,}000\). 3,000
    2. Partial products: \(40 \times 60 = 2{,}400\), \(40 \times 2 = 80\), \(9 \times 60 = 540\), \(9 \times 2 = 18\).

      Add: \(2{,}400 + 80 + 540 + 18 = 3{,}038\).

      3,038

    Scoring: 1 point for each part.

    Grade 4 Multiplication Test Answer Key: questions 6–9

    Question 6: Properties (2 points)

    Swap and regroup: \(5 \times 17 \times 2 = 17 \times (5 \times 2) = 17 \times 10 = 170\). The commutative and associative properties were used. 170

    Scoring: 1 point for the correct product; 1 point for naming a correct property.

    Question 7: Team baseballs (3 points)

    1. Partial products: \(10 \times 10 = 100\), \(10 \times 4 = 40\), \(8 \times 10 = 80\), \(8 \times 4 = 32\).

      Add: \(100 + 40 + 80 + 32 = 252\).

      108101008044032
      Partial areas 100, 40, 80, 32.

      252 players

    2. \(3 \times 252 = 600 + 150 + 6 = 756\). 756 baseballs

    Scoring: (a) 1 point. (b) 1 point for multiplying 3 by 252 and 1 point for the correct answer.

    Question 8: Two stadiums (3 points)

    Partial products: \(6 \times 2{,}000 = 12{,}000\), \(6 \times 400 = 2{,}400\), \(6 \times 70 = 420\), \(6 \times 5 = 30\).

    Add: \(12{,}000 + 2{,}400 + 420 + 30 = 14{,}850\).

    Stadium A has 14,850 seats. \(14{,}850 – 14{,}520 = 330\).

    Stadium A has 330 more seats.

    Scoring: 2 points for the correct seats in Stadium A; 1 point for the comparison.

    Question 9: Multiples of ten (2 points)

    1. \(2 \times 6 = 12\) tens times 10: 1,200
    2. \(9 \times 5 = 45\), times 100: 4,500

    Scoring: 1 point for each product.

    Scoring summary

    Total

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

    How to use this grade 4 multiplication test answer key

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

    Next step after this grade 4 multiplication test answer key: Multi-Digit Multiplication quiz

    Printable PDF · Test Answer Key

    Grade 4 Multi-Digit Multiplication test answer key

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