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Decimal Fractions and Decimal Notation: Grade 4 Math Test Answer Key – PDF Download

    This grade 4 decimals test answer key gives the full solution and the scoring guide for each of the 9 test questions on decimal fractions and decimal notation.

    Use this key to score the test out of 20 points. Each solution shows the work expected, and the scoring note explains how partial credit is given. Accept equivalent forms such as 0.2 and 0.20.

    Grade 4Common Core: 4.NF.C.5 · 4.NF.C.6 · 4.NF.C.7

    Grade 4 Decimals Test Answer Key: questions 1–5

    Question 1: Shaded grid (2 points)

    1. \( rac{58}{100}\).
    2. \(0.58\).
    5 tenths + 8 hundredths = 58 hundredths.

    Scoring: 1 point for each part.

    Question 2: Fractions to decimals (2 points)

    1. 0.7
    2. 0.07

    Scoring: 1 point for each part. Give no point if the digit is in the wrong place.

    Question 3: Decimals to fractions (2 points)

    1. \( rac{3}{10}\)
    2. \( rac{46}{100}\)

    Scoring: 1 point for each part. The denominator must match the place of the last digit.

    Question 4: Decimals on a number line (2 points)

    1. Each step is 0.01, so A is 0.53.
    2. B is 8 steps after 0.5: 0.58.
    0.50.550.60.530.58
    A is 0.53 and B is 0.58.

    Scoring: 1 point for each point.

    Question 5: Adding fractions (2 points)

    1. \( rac{60}{100} + rac{7}{100} = rac{67}{100}\) = 0.67
    2. \( rac{40}{100} + rac{35}{100} = rac{75}{100}\) = 0.75

    Scoring: 1 point for each part: 0.5 for renaming the tenths, 0.5 for the correct sum.

    Grade 4 Decimals Test Answer Key: questions 6–9

    Question 6: Compare decimals (2 points)

    1. \(0.70 > 0.69\): >
    2. \(0.08 < 0.10\): <

    Scoring: 1 point for each correct symbol with correct reasoning.

    Question 7: Rainfall (3 points)

    1. As hundredths: 0.40, 0.35, 0.04. The order is 0.04, 0.35, 0.4.
    2. \( rac{4}{10} + rac{35}{100} = rac{40}{100} + rac{35}{100} = rac{75}{100}\). 0.75 inch.

    Scoring: Part a: 2 points for the correct order, 1 point if only one number is out of place. Part b: 1 point.

    Question 8: Garden squares (3 points)

    1. \( rac{34}{100} = \)0.34.
    2. Two full rows are shaded: \( rac{20}{100} = rac{2}{10} = \)0.2.
    3. \( rac{34}{100} + rac{20}{100} = rac{54}{100} = \)0.54.
    34 + 20 = 54 squares.

    Scoring: 1 point for each part. In part b, 0.5 for the fraction and 0.5 for the decimal.

    Question 9: Place value (2 points)

    1. The 6 is in the tenths place: 6 tenths, or 0.6.
    2. \(4.63 = 4 + rac{6}{10} + rac{3}{100}\)

    Scoring: 1 point for each part. Both blanks must be correct in part b.

    Scoring summary

    Total

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

    How to use this grade 4 decimals test answer key

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

    Next step after this grade 4 decimals test answer key: Decimal Fractions and Decimal Notation quiz

    Printable PDF · Test Answer Key

    Grade 4 Decimal Fractions and Decimal Notation test answer key

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