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

(a) six tenths

(b) nine hundredths

(c) two hundred fifteen thousandths

(d) four and seven hundredths

(a) 5.12

(b) 0.304

(c) 0.8

(d) 6 thousandths needs three decimal places: 21.006

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 \(0.005\)

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 ones, 1 tenth, 2 hundredths, 6 thousandths.

\(5+0.1+0.02+0.006\)

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

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

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

(b) 3.2 = 3.20. =

(c) 0.308 and 0.380: 308 is less than 380 thousandths. <

(d) 12.09 and 12.10: <

(a) 6.071 and 6.070: >

(b) 0.90 and 0.09: >

(c) 5.550 and 5.505: >

(d) 0.70 and 0.07: >

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: \(0.062, 0.26, 0.6, 0.602, 0.62\)

(a) Tenths digit 4, round down: 6

(b) Tenths digit 5, round up: 13

(c) Tenths digit 8, round up: 1

(d) Tenths digit 5, round up: 10

(a) Hundredths digit 7: 3.5

(b) Hundredths digit 2: 0.8

(c) Hundredths digit 5: 5.9 rounds up to 6.0

(d) Hundredths digit 4: 12.0

(a) Thousandths digit 8: 4.64

(b) Thousandths digit 5: 0.08

(c) Thousandths digit 4: 9.99

(d) Thousandths digit 5: 2.31

(a) Ten-thousandths digit 5: 3.142

(b) Ten-thousandths digit 4: 0.082

(c) 7.9996: the digit 6 rounds the 9 up, which carries: 8.000

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: \(4.25, 4.34, 4.26, 4.29\)

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.

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 \(\$3\)

Write all as thousandths: 0.350, 0.305, 0.530.

305 < 350 < 530.

Answer: Tuesday, Monday, Wednesday

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

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

(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