5th Grade Reading, Comparing and Rounding Decimals Test Solutions and Scoring (PDF)

5th Grade math test solutions: Reading, Comparing and Rounding Decimals – Maths PDF

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This decimals compare round test answers for 5th Grade covers reading, comparing and rounding decimals (Common Core 5.NBT.A.3, 5.NBT.A.4), with a free PDF to print.

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

Decimals compare round test answers: worked solutions

Question 1 – Write in words [2 pts]

(a) seventy-five thousandths

(b) twelve and four hundredths

Scoring: 1 point for each correct word form.

Question 2 – Write as decimals [2 pts]

(a) 6.09

(b) 0.205

Scoring: 1 point for each correct decimal.

Question 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.

Question 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: \(0.001\)

Scoring: 1 point for each correct value.

Question 5 – Compare decimals [3 pts]

(a) 0.70 > 0.07: >

(b) 3.405 < 3.450: <

Scoring: 1 point for each correct symbol.

Question 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 – 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.

Question 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.

Question 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 decimals compare round test answers

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.

How to use this decimals compare round test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

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