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

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

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This decimals compare round 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.

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

Decimals compare round answers: exercises 1 to 10

Exercise 1 – Decimals to words

(a) six tenths

(b) nine hundredths

(d) four and seven hundredths

Exercise 2 – Words to decimals

(a) 5.12

(b) 0.304

(d) 6 thousandths needs three decimal places: 21.006

Exercise 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.

Exercise 4 – Expanded form with fractions

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

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

Exercise 5 – Expanded form with decimals

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

$5+0.1+0.02+0.006$

Exercise 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

Exercise 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: <

Exercise 8 – Compare more decimals

(a) 6.071 and 6.070: >

(b) 0.90 and 0.09: >

(d) 0.70 and 0.07: >

Exercise 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.

Exercise 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

Exercises 11 and up

Exercise 11 – Round to the tenth

(a) Hundredths digit 7: 3.5

(b) Hundredths digit 2: 0.8

(d) Hundredths digit 4: 12.0

Exercise 12 – Round to the hundredth

(a) Thousandths digit 8: 4.64

(b) Thousandths digit 5: 0.08

(d) Thousandths digit 5: 2.31

Exercise 13 – Round to the thousandth

(a) Ten-thousandths digit 5: 3.142

(b) Ten-thousandths digit 4: 0.082

Exercise 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.

Exercise 15 – 60-yard dash

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

A lower time is faster, so Jamal is faster.

Exercise 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 $\$3$

Exercise 17 – Rainfall

Write all as thousandths: 0.350, 0.305, 0.530.

305 < 350 < 530.

Answer: Tuesday, Monday, Wednesday

Tuesday least, Wednesday most.

Exercise 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

Exercise 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

Exercise 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 decimals compare round 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 answers

Cover each solution, solve the exercise again, then uncover it and compare every line. If your answer differs, find the first step that changed and redo the exercise from there.

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