This grade 5 decimal test answer key gives the full solution and the scoring guide for each of the 9 test questions on operations with decimals.
Use this key to score the decimal operations test out of 20 points. Each solution shows the work and a scoring guide that explains how points are earned. Give credit for correct reasoning even when a small arithmetic slip changes the final answer.
Grade 5 Decimal Test Answer Key: questions 1–5
Question 1: Add and subtract (2 points)
- \(14.76 + 8.90 = 23.66\). 23.66
- \(30.20 – 17.85 = 12.35\). 12.35
Scoring: 1 point for each correct result. Award 0 if the decimal points were not lined up.
Question 2: Hundredths grids (2 points)
- The grids show \(0.38\) and \(0.25\).
- \(0.38 + 0.25 = 0.63\). 0.63
Scoring: 1 point for both decimals, 1 point for the sum 0.63.
Question 3: Multiply decimals (2 points)
- \(6 \times 7 = 42\), two decimal places: \(0.42\). 0.42
- \(38 \times 25 = 950\), two decimal places: \(9.50\). 9.5
Scoring: 1 point for each product. A correct whole-number product with a misplaced decimal point earns no point.
Question 4: Area model of a product (2 points)
- There are 5 rows and 9 columns, so 45 squares overlap: \(0.5 \times 0.9 = 0.45\).
- Multiplying by 0.5, a number less than 1, takes only half of 0.9, so the product 0.45 is smaller than 0.9.
Scoring: 1 point for the correct sentence with the product 0.45; 1 point for an explanation that uses a factor less than 1.
Question 5: Divide decimals (2 points)
- \(15.6 : 4 = 3.9\). Check: \(4 \times 3.9 = 15.6\). 3.9
- \(504 : 12 = 42\). Check: \(42 \times 0.12 = 5.04\). 42
Scoring: 1 point for each quotient.
Grade 5 Decimal Test Answer Key: questions 6–9
Question 6: Lunch at the school store (2 points)
- \(\$5.75 + \$1.95 + \$1.25 = \$8.95\). $8.95
- \(\$10.00 – \$8.95 = \$1.05\). $1.05
Scoring: 1 point for the total, 1 point for the change (a change computed correctly from a wrong total earns the point).
Question 7: Cheese at the deli (2 points)
- \(2.4 \times \$6.25 = \$15.00\), since \(24 \times 625 = 15000\). $15.00
- \(\$20.00 – \$15.00 = \$5.00\). $5.00
Scoring: 1 point for the cost, 1 point for the change.
Question 8: Trail repainting (3 points)
- \(7.2 : 0.45\)
- Multiply both numbers by 100: \(720 : 45 = 16\). 16 days
- \(9 \times 0.45 = 4.05\). 4.05 miles
Scoring: 1 point for the expression, 1 point for 16 days, 1 point for 4.05 miles.
Question 9: Student store sales (3 points)
- \(12 \times \$0.85 = \$10.20\). $10.20
- \(8 \times \$1.35 = \$10.80\). $10.80
- \(\$10.20 + \$10.80 = \$21.00\). $21.00
Scoring: 1 point for each part; part (c) may use incorrect earlier results.
Scoring summary
20 points: add the points of every question of this grade 5 decimal test answer key.
How to use this grade 5 decimal test answer key
Use this grade 5 decimal test answer key to score the test fairly and to see which skills need more practice.
See every chapter on the Grade 5 math page.
