5th Grade Reading, Comparing and Rounding Decimals Worksheet Answer Key (PDF)

5th grade comparing decimals worksheet answers – Maths PDF

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This 5th grade comparing decimals worksheet answers 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 and parents check decimal reading, comparing, ordering, and rounding.

Topic: Reading, Comparing and Rounding Decimals (5th grade)
Content: Step-by-step answers to 20 worksheet problems
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 and parents check decimal reading, comparing, ordering, and rounding. Also, each solution names the place used, shows the compared digits or the rounding digit, and writes the answer with its zeros.

The key covers all 20 problems, including the expanded forms in problems 4 to 6 and the ordered lists in problems 9 and 20. Then, word problem answers use full sentences. Also, if your answer differs, check the place value chart. Then, plan about 15 minutes to compare and fix your work.

This answer key shows how each of the 20 decimal problems is solved. For comparing, the key writes decimals with the same number of places. For rounding, it names the digit to the right of the rounding place. Compare your steps with these, not only your answers.

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

5th grade comparing decimals worksheet answers: worksheet problems 1 to 10

1 – Decimals to words

(a) six tenths

(b) nine hundredths

(d) four and seven hundredths

2 – Words to decimals

(a) 5.12

(b) 0.304

(d) 6 thousandths needs three decimal places: 21.006

3 – Value of a digit

In 4.371 the 7 is in the hundredths place. Its value is $0.07$.

In 8.005 the 5 is in the thousandths place. Its value is $0.005$.

Answer: $0.07$ and $0.005$

The 7 is in the hundredths place.

4 – Expanded form with fractions

3 ones, 4 tenths, 8 hundredths and 2 thousandths.

$3\times1+4\times\frac{1}{10}+8\times\frac{1}{100}+2\times\frac{1}{1000}$

5 – Expanded form with decimals

5 ones, 1 tenth, 2 hundredths, 6 thousandths.

$5+0.1+0.02+0.006$

6 – Expanded form to standard form

(a) 4 tens, 2 ones, 3 tenths, 0 hundredths, 6 thousandths: 42.306

(b) 9 ones, 0 tenths, 7 hundredths: 9.07

7 – Compare with symbols

(a) 0.45 and 0.50: 45 hundredths is less than 50 hundredths. $0.45 < 0.5$

(b) 3.2 = 3.20. =

(d) 12.09 and 12.10: <

Worksheet problem 8 and after

8 – Compare more decimals

(a) 6.071 and 6.070: >

(b) 0.90 and 0.09: >

(d) 0.70 and 0.07: >

9 – Order decimals

Write each with three places: 0.620, 0.600, 0.062, 0.602, 0.260.

Compare: 0.062 < 0.260 < 0.600 < 0.602 < 0.620.

Answer: $0.062, 0.26, 0.6, 0.602, 0.62$

The numbers in order.

10 – Round to the whole number

(a) Tenths digit 4, round down: 6

(b) Tenths digit 5, round up: 13

(d) Tenths digit 5, round up: 10

Worksheet problems 11 and up

11 – Round to the tenth

(a) Hundredths digit 7: 3.5

(b) Hundredths digit 2: 0.8

(d) Hundredths digit 4: 12.0

12 – Round to the hundredth

(a) Thousandths digit 8: 4.64

(b) Thousandths digit 5: 0.08

(d) Thousandths digit 5: 2.31

13 – Round to the thousandth

(a) Ten-thousandths digit 5: 3.142

(b) Ten-thousandths digit 4: 0.082

14 – Which round to 4.3?

Numbers from 4.25 up to but not including 4.35 round to 4.3.

4.25: yes. 4.34: yes. 4.26: yes. 4.35: no, it rounds up to 4.4. 4.29: yes.

Answer: $4.25, 4.34, 4.26, 4.29$

Numbers that round to 4.3.

15 – 60-yard dash

Write 8.4 as 8.40. Compare 8.37 and 8.40: 8.37 is less.

So, a lower time is faster, so Jamal is faster.

16 – Gas price

Nearest cent: the thousandths digit is 9, so round 3.49 up to 3.50.

Nearest dollar: the tenths digit is 4, so round down to 3.

Answer: $\$3.50$ and $\$3$

Worksheet problem 17 and after

17 – Rainfall

Write all as thousandths: 0.350, 0.305, 0.530.

305 < 350 < 530.

Answer: Tuesday, Monday, Wednesday

Tuesday least, Wednesday most.

18 – Pumpkin weight

Nearest tenth: the hundredths digit is 4, so keep 12.8.

Nearest pound: the tenths digit is 8, so round up to 13.

Answer: 12.8 lb and 13 lb

19 – Ethan's mistake

Ethan compared 6 and 58 as whole numbers, but the places are different. Write 0.6 as 0.60.

60 hundredths is greater than 58 hundredths, so $0.6>0.58$.

Answer: 0.6 is greater

20 – Flour bags

(a) Write with three places: 2.500, 2.050, 2.550, 2.505. Heaviest to lightest: 2.550, 2.505, 2.500, 2.050. $2.55, 2.505, 2.5, 2.05$

(b) 2.55 has hundredths digit 5, round up: 2.6 lb

(c) 2.5 stays 2.5. 2.505 has hundredths digit 0, so it is 2.5. 2.05 rounds to 2.1 and 2.55 to 2.6. 2.5 lb and 2.505 lb

Key facts behind this 5th grade comparing decimals worksheet 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.

Common mistakes with this 5th grade comparing decimals worksheet answers

Students match the digits but drop a zero. Instead, the key keeps zeros such as 8.000 to show the place.
Students skip the reason in comparison problems. Also, the key names the place that decides. Slow down at that step and check it twice.
Students round from a rounded number. Instead, the key rounds each time from the original. Slow down at that step and check it twice.
Students ignore the explanation in problem 19. Also, the explanation shows why 6 and 58 cannot be compared as whole numbers.

How to use these solutions

Check each rounding by circling the digit to the right of the place. Compare it with 5. Repeat this habit on every problem for the best results.
Redo each missed comparison with placeholder zeros. Equal length makes the comparison clear. Repeat this habit on every problem for the best results.
Parents can ask the child to say one decimal in words and then write it again. Repeat this habit on every problem for the best results.

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5th grade comparing decimals worksheet answers: frequently asked questions

What are the answers to problem 12?

To the nearest hundredth, 4.638 rounds to 4.64, 0.075 rounds to 0.08, 9.994 rounds to 9.99, and 2.305 rounds to 2.31. Each answer comes from the thousandths digit, and a 5 rounds up.

Which numbers round to 4.3 in problem 14?

The numbers 4.25, 4.34, 4.26, and 4.29 round to 4.3, because each is from 4.25 up to just under 4.35. The number 4.35 rounds up to 4.4, so it is not circled.

How does the key order the weights in problem 20?

Write each with three places: 2.500, 2.050, 2.550, and 2.505. From heaviest to lightest, the order is 2.55, 2.505, 2.5, and 2.05 pounds. Comparing the tenths first, then the hundredths, settles each pair.

All Grade 5 chapters: Grade 5 math.

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