5th Grade Reading, Comparing and Rounding Decimals Test Answer Key and Scoring Guide (PDF)

Q: How is 7.4851 rounded in question 7?

To the nearest whole number, it is 7, because the tenths digit 4 rounds down. To the nearest tenth, it is 7.5, because the hundredths digit 8 rounds up. To the nearest hundredth, it is 7.49.

Q: Why is Priya wrong in question 9?

The tenths digit of 3.46 is 4, which is less than 5, so the number rounds down to 3. Priya looked at the hundredths digit 6 instead. The correct rounded number is 3.

Q: How are the comparisons in question 5 explained?

Seven tenths is greater than seven hundredths, so 0.7 is greater than 0.07. For 3.405 and 3.45, rename as 3.405 and 3.450, so 3.405 is less. And 8.60 equals 8.6 because zeros at the end add nothing.

5th grade comparing decimals test answer key – Maths PDF

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This 5th grade comparing decimals test answer key covers reading, comparing and rounding decimals (Common Core 5.NBT.A.3, 5.NBT.A.4), with a free PDF to print.

Key takeaway: This answer key helps fifth grade students see how each point on the decimals test was earned.

Topic: Reading, Comparing and Rounding Decimals (5th grade)
Content: Worked solutions and a scoring guide for 9 questions
Standards: 5.NBT.A.3, 5.NBT.A.4
Answers: Every step shown, with the method to review
Format: Free printable PDF, US Letter, black and white

This answer key helps fifth grade students see how each point on the decimals test was earned. Also, it gives complete solutions to all nine questions, with word forms, place values, comparisons, and roundings shown clearly.

Question 5 gives three comparisons with reasons, question 6 orders the list with zeros, question 7 rounds one number to three places, and question 9 explains why Priya’s rounding is wrong. Add your points out of 20, then spend about 15 minutes redoing every question that lost credit. Then, rewrite each correction in a place value chart.

Use this answer key to grade the decimals test. Each solution shows the place value reasoning, and the scoring guide lists partial credit. The total is 20 points. Accept equivalent word forms and any correct expanded form that the question allows.

Grade 5 · Common Core State Standards: 5.NBT.A.3, 5.NBT.A.4

5th grade comparing decimals test answer key: worked solutions

1 – Write in words [2 pts]

(a) seventy-five thousandths

(b) twelve and four hundredths

Scoring: 1 point for each correct word form.

2 – Write as decimals [2 pts]

(a) 6.09

(b) 0.205

Also, Scoring: 1 point for each correct decimal.

3 – Expanded form [2 pts]

\(4\times1+3\times\frac{1}{10}+7\times\frac{1}{100}+2\times\frac{1}{1000}\)

Scoring: 2 points for all four terms correct. 1 point for three correct terms, or for decimals (4 + 0.3 + 0.07 + 0.002) instead of fractions.

4 – Value of a digit [2 pts]

(a) The 5 is in the hundredths place: \(0.05\)

(b) The 1 is in the thousandths place: \(0.001\)

Also, Scoring: 1 point for each correct value.

5 – Compare decimals [3 pts]

(a) 0.70 > 0.07: >

(b) 3.405 < 3.450: <

Scoring: 1 point for each correct symbol.

6 – Order decimals [2 pts]

Write with three places: 5.090, 5.900, 5.095, 5.190.

Greatest to least: 5.900, 5.190, 5.095, 5.090.

Answer: \(5.9, 5.19, 5.095, 5.09\)

The four numbers.

Scoring: 2 points for the correct order. 1 point if only one pair is in the wrong order.

Question 7 and after

7 – Round 7.4851 [3 pts]

(a) The tenths digit is 4, so round down: 7

(b) The hundredths digit is 8, so round up: 7.5

7.4851 is past the midpoint.

Scoring: 1 point for each correct rounding.

8 – Long jump [3 pts]

Write with three places: 13.250, 13.300, 13.205.

(a) 13.3 ft (jump 2)

(b) \(13.205, 13.25, 13.3\)

Scoring: 1 point for each part.

9 – Priya's rounding [1 pt]

The tenths digit is 4, which is less than 5. Round down: 3.46 rounds to 3.

Answer: No, the answer is 3

Scoring: 1 point for “no” with a correct reason.

Total score

Total

20 points

Key facts behind this 5th grade comparing decimals test answer key

Key facts

The places right of the decimal point are tenths, hundredths and thousandths.
Expanded form shows each digit times its place value, such as 4 × 1/10.
To compare decimals, compare digits from left to right, one place at a time.
Adding zeros to the end of a decimal does not change its value: 0.3 = 0.30.
Round up when the next digit is 5 or more; keep the digit when it is 4 or less.

Common mistakes with this 5th grade comparing decimals test answer key

Students lose points for a missing zero. Instead, keep zeros where the key shows them. Slow down at that step and check it twice.
Students skip the reason in question 9. Also, the explanation names the tenths digit that decides. Slow down at that step and check it twice.
Students order the list in question 6 from least to greatest. Instead, the question asks for greatest to least.
Students round from a rounded number in question 7. Round the original each time. Slow down at that step and check it twice.

How to learn from your test

Sort lost points into word forms, comparing, and rounding. Practice the weakest group first. Repeat this habit on every problem for the best results.
Redo question 8 with new distances. New numbers show whether you can compare with zeros. Repeat this habit on every problem for the best results.
Teachers can ask students to explain a correction using a number line. Repeat this habit on every problem for the best results.

Download the 5th grade comparing decimals test answer key as a PDF with the button below and keep it with your notes.

5th grade comparing decimals test answer key: frequently asked questions

How is 7.4851 rounded in question 7?

To the nearest whole number, it is 7, because the tenths digit 4 rounds down. Also, to the nearest tenth, it is 7.5, because the hundredths digit 8 rounds up. To the nearest hundredth, it is 7.49.

Why is Priya wrong in question 9?

The tenths digit of 3.46 is 4, which is less than 5, so the number rounds down to 3. Priya looked at the hundredths digit 6 instead. The correct rounded number is 3.

How are the comparisons in question 5 explained?

Seven tenths is greater than seven hundredths, so 0.7 is greater than 0.07. For 3.405 and 3.45, rename as 3.405 and 3.450, so 3.405 is less. And 8.60 equals 8.6 because zeros at the end add nothing.

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