Order from least to greatest: 5.7 × 10^-5, 8.2 × 10^4, 3.4 × 10^-4, 3.7 × 10^4

5.7 × 10^-5, 3.4 × 10^-4, 3.7 × 10^4, 8.2 × 10^4

Order from least to greatest: 4.1 × 10^3, 4.8 × 10^-5, 2.1 × 10^-1, 3.2 × 10^2

4.8 × 10^-5, 2.1 × 10^-1, 3.2 × 10^2, 4.1 × 10^3

Order from least to greatest: 3.7 × 10^-1, 9.2 × 10^-3, 7.1 × 10^-2, 5.9 × 10^-5

5.9 × 10^-5, 9.2 × 10^-3, 7.1 × 10^-2, 3.7 × 10^-1

Order from least to greatest: 3.9 × 10^4, 4.3 × 10^3, 1.7 × 10^-3, 4.7 × 10^4

1.7 × 10^-3, 4.3 × 10^3, 3.9 × 10^4, 4.7 × 10^4

Order from least to greatest: 5.8 × 10^4, 7.5 × 10^2, 5.3 × 10^4

7.5 × 10^2, 5.3 × 10^4, 5.8 × 10^4

Worksheets · Pre-Algebra

Comparing and ordering fractions and decimals worksheet

To compare, put the numbers in the same form: fractions over a common denominator, or everything as a decimal. Negatives sit left of zero, so the negative with the bigger size is the smaller number. Work out an absolute value before comparing it, and in scientific notation compare the powers of ten before the front numbers.

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.



Sigma Prep · sigmaprep.io/worksheets Name Comparing and Ordering Numbers Date Period Compare with <, > or =, or order from least to greatest. Compare the fractions $\frac{7}{10} \frac{1}{4}$ $\frac{1}{3} \frac{2}{9}$ $\frac{3}{10} \frac{3}{7}$ $\frac{6}{7} \frac{3}{4}$ Compare the numbers $0.3 0.413$ $0.900 0.219$ $0.202 0.21$ $0.4 0.40$ Order from least to greatest Order from least to greatest: $0, - \frac{4}{5}, \frac{3}{8}, \frac{9}{10}, 3$ Order from least to greatest: $\frac{2}{5}, \frac{5}{8}, - 0.85, - 0.7, 0.7$ Order from least to greatest: $\frac{1}{2}, - \frac{3}{4}, 3, - 0.24, 0.9$ Order from least to greatest: $0.4, \frac{7}{8}, \frac{1}{3}, - 1, \frac{1}{2}$ Compare and order with absolute value Compare using $<$ , $>$ or $=$ : $∣ 2 ∣ - 11$ Compare using $<$ , $>$ or $=$ : $- ∣ 3 ∣ - 3$ Compare using $<$ , $>$ or $=$ : $- ∣ 5 ∣ ∣ 5 ∣$ Compare using $<$ , $>$ or $=$ : $- ∣ - 4 ∣ - 7$ Order numbers in scientific notation Order from least to greatest: $5.7 \times 10^{- 5}$ , $8.2 \times 10^{4}$ , $3.4 \times 10^{- 4}$ , $3.7 \times 10^{4}$ Order from least to greatest: $4.1 \times 10^{3}$ , $4.8 \times 10^{- 5}$ , $2.1 \times 10^{- 1}$ , $3.2 \times 10^{2}$ Order from least to greatest: $3.7 \times 10^{- 1}$ , $9.2 \times 10^{- 3}$ , $7.1 \times 10^{- 2}$ , $5.9 \times 10^{- 5}$ Order from least to greatest: $3.9 \times 10^{4}$ , $4.3 \times 10^{3}$ , $1.7 \times 10^{- 3}$ , $4.7 \times 10^{4}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Comparing and Ordering Numbers

Date Period

Compare with <, > or =, or order from least to greatest.

Compare the fractions
$\frac{7}{10} \frac{1}{4}$
$\frac{1}{3} \frac{2}{9}$
$\frac{3}{10} \frac{3}{7}$
$\frac{6}{7} \frac{3}{4}$

Compare the numbers
$0.3 0.413$
$0.900 0.219$
$0.202 0.21$
$0.4 0.40$

Order from least to greatest
Order from least to greatest:
$0, - \frac{4}{5}, \frac{3}{8}, \frac{9}{10}, 3$
Order from least to greatest:
$\frac{2}{5}, \frac{5}{8}, - 0.85, - 0.7, 0.7$
Order from least to greatest:
$\frac{1}{2}, - \frac{3}{4}, 3, - 0.24, 0.9$
Order from least to greatest:
$0.4, \frac{7}{8}, \frac{1}{3}, - 1, \frac{1}{2}$

Compare and order with absolute value
Compare using $<$ , $>$ or $=$ : $∣ 2 ∣ - 11$
Compare using $<$ , $>$ or $=$ : $- ∣ 3 ∣ - 3$
Compare using $<$ , $>$ or $=$ : $- ∣ 5 ∣ ∣ 5 ∣$
Compare using $<$ , $>$ or $=$ : $- ∣ - 4 ∣ - 7$

Order numbers in scientific notation
Order from least to greatest: $5.7 \times 10^{- 5}$ , $8.2 \times 10^{4}$ , $3.4 \times 10^{- 4}$ , $3.7 \times 10^{4}$
Order from least to greatest: $4.1 \times 10^{3}$ , $4.8 \times 10^{- 5}$ , $2.1 \times 10^{- 1}$ , $3.2 \times 10^{2}$
Order from least to greatest: $3.7 \times 10^{- 1}$ , $9.2 \times 10^{- 3}$ , $7.1 \times 10^{- 2}$ , $5.9 \times 10^{- 5}$
Order from least to greatest: $3.9 \times 10^{4}$ , $4.3 \times 10^{3}$ , $1.7 \times 10^{- 3}$ , $4.7 \times 10^{4}$



Sigma Prep · sigmaprep.io/worksheets Name Comparing and Ordering NumbersAnswer keyVersion 1 Date Period Compare with <, > or =, or order from least to greatest. Compare the fractions $\frac{7}{10} \frac{1}{4}$ > $\frac{1}{3} \frac{2}{9}$ > $\frac{3}{10} \frac{3}{7}$ < $\frac{6}{7} \frac{3}{4}$ > Compare the numbers $0.3 0.413$ $<$ $0.900 0.219$ $>$ $0.202 0.21$ $<$ $0.4 0.40$ $=$ Order from least to greatest Order from least to greatest: $0, - \frac{4}{5}, \frac{3}{8}, \frac{9}{10}, 3$ $- \frac{4}{5}, 0, \frac{3}{8}, \frac{9}{10}, 3$ Order from least to greatest: $\frac{2}{5}, \frac{5}{8}, - 0.85, - 0.7, 0.7$ $- 0.85, - 0.7, \frac{2}{5}, \frac{5}{8}, 0.7$ Order from least to greatest: $\frac{1}{2}, - \frac{3}{4}, 3, - 0.24, 0.9$ $- \frac{3}{4}, - 0.24, \frac{1}{2}, 0.9, 3$ Order from least to greatest: $0.4, \frac{7}{8}, \frac{1}{3}, - 1, \frac{1}{2}$ $- 1, \frac{1}{3}, 0.4, \frac{1}{2}, \frac{7}{8}$ Compare and order with absolute value Compare using $<$ , $>$ or $=$ : $∣ 2 ∣ - 11$ $>$ Compare using $<$ , $>$ or $=$ : $- ∣ 3 ∣ - 3$ $=$ Compare using $<$ , $>$ or $=$ : $- ∣ 5 ∣ ∣ 5 ∣$ $<$ Compare using $<$ , $>$ or $=$ : $- ∣ - 4 ∣ - 7$ $>$ Order numbers in scientific notation Order from least to greatest: $5.7 \times 10^{- 5}$ , $8.2 \times 10^{4}$ , $3.4 \times 10^{- 4}$ , $3.7 \times 10^{4}$ $5.7 \times 10^{- 5}$ , $3.4 \times 10^{- 4}$ , $3.7 \times 10^{4}$ , $8.2 \times 10^{4}$ Order from least to greatest: $4.1 \times 10^{3}$ , $4.8 \times 10^{- 5}$ , $2.1 \times 10^{- 1}$ , $3.2 \times 10^{2}$ $4.8 \times 10^{- 5}$ , $2.1 \times 10^{- 1}$ , $3.2 \times 10^{2}$ , $4.1 \times 10^{3}$ Order from least to greatest: $3.7 \times 10^{- 1}$ , $9.2 \times 10^{- 3}$ , $7.1 \times 10^{- 2}$ , $5.9 \times 10^{- 5}$ $5.9 \times 10^{- 5}$ , $9.2 \times 10^{- 3}$ , $7.1 \times 10^{- 2}$ , $3.7 \times 10^{- 1}$ Order from least to greatest: $3.9 \times 10^{4}$ , $4.3 \times 10^{3}$ , $1.7 \times 10^{- 3}$ , $4.7 \times 10^{4}$ $1.7 \times 10^{- 3}$ , $4.3 \times 10^{3}$ , $3.9 \times 10^{4}$ , $4.7 \times 10^{4}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Comparing and Ordering NumbersAnswer keyVersion 1

Date Period

Compare with <, > or =, or order from least to greatest.

Compare the fractions
$\frac{7}{10} \frac{1}{4}$ >
$\frac{1}{3} \frac{2}{9}$ >
$\frac{3}{10} \frac{3}{7}$ <
$\frac{6}{7} \frac{3}{4}$ >

Compare the numbers
$0.3 0.413$ $<$
$0.900 0.219$ $>$
$0.202 0.21$ $<$
$0.4 0.40$ $=$

Order from least to greatest
Order from least to greatest:
$0, - \frac{4}{5}, \frac{3}{8}, \frac{9}{10}, 3$ $- \frac{4}{5}, 0, \frac{3}{8}, \frac{9}{10}, 3$
Order from least to greatest:
$\frac{2}{5}, \frac{5}{8}, - 0.85, - 0.7, 0.7$ $- 0.85, - 0.7, \frac{2}{5}, \frac{5}{8}, 0.7$
Order from least to greatest:
$\frac{1}{2}, - \frac{3}{4}, 3, - 0.24, 0.9$ $- \frac{3}{4}, - 0.24, \frac{1}{2}, 0.9, 3$
Order from least to greatest:
$0.4, \frac{7}{8}, \frac{1}{3}, - 1, \frac{1}{2}$ $- 1, \frac{1}{3}, 0.4, \frac{1}{2}, \frac{7}{8}$

Compare and order with absolute value
Compare using $<$ , $>$ or $=$ : $∣ 2 ∣ - 11$ $>$
Compare using $<$ , $>$ or $=$ : $- ∣ 3 ∣ - 3$ $=$
Compare using $<$ , $>$ or $=$ : $- ∣ 5 ∣ ∣ 5 ∣$ $<$
Compare using $<$ , $>$ or $=$ : $- ∣ - 4 ∣ - 7$ $>$

Order numbers in scientific notation
Order from least to greatest: $5.7 \times 10^{- 5}$ , $8.2 \times 10^{4}$ , $3.4 \times 10^{- 4}$ , $3.7 \times 10^{4}$ $5.7 \times 10^{- 5}$ , $3.4 \times 10^{- 4}$ , $3.7 \times 10^{4}$ , $8.2 \times 10^{4}$
Order from least to greatest: $4.1 \times 10^{3}$ , $4.8 \times 10^{- 5}$ , $2.1 \times 10^{- 1}$ , $3.2 \times 10^{2}$ $4.8 \times 10^{- 5}$ , $2.1 \times 10^{- 1}$ , $3.2 \times 10^{2}$ , $4.1 \times 10^{3}$
Order from least to greatest: $3.7 \times 10^{- 1}$ , $9.2 \times 10^{- 3}$ , $7.1 \times 10^{- 2}$ , $5.9 \times 10^{- 5}$ $5.9 \times 10^{- 5}$ , $9.2 \times 10^{- 3}$ , $7.1 \times 10^{- 2}$ , $3.7 \times 10^{- 1}$
Order from least to greatest: $3.9 \times 10^{4}$ , $4.3 \times 10^{3}$ , $1.7 \times 10^{- 3}$ , $4.7 \times 10^{4}$ $1.7 \times 10^{- 3}$ , $4.3 \times 10^{3}$ , $3.9 \times 10^{4}$ , $4.7 \times 10^{4}$

How to do these

$\frac{3}{4} \frac{5}{8}$

Common denominator 8.
3/4 is 6/8, which is more than 5/8.

The answer is $>$ .

Where students go wrong

Comparing tops or bottoms on their own. 5/8 has the bigger top and the bigger bottom, and it is still the smaller fraction.

Also called comparing and ordering numbers, comparing decimals, ordering rational numbers or ordering real numbers.

What you can put on this worksheet

Compare two fractions: $\frac{1}{5} \frac{7}{15}$ → <
Compare two decimals: $0.9 0.24$ → $>$
Order fractions, decimals and integers: Order from least to greatest:
$0.73, \frac{1}{2}, \frac{2}{5}, 2$ → $\frac{2}{5}, \frac{1}{2}, 0.73, 2$
Order with square roots in the list: Order from least to greatest:
$\sqrt{9}, 4.1, \sqrt{25}, \frac{9}{2}$ → $\sqrt{9}, 4.1, \frac{9}{2}, \sqrt{25}$
With absolute value: Compare using $<$ , $>$ or $=$ : $∣ 7 ∣ ∣ 1 ∣$ → $>$
In scientific notation: Order from least to greatest: $5.8 \times 10^{4}$ , $7.5 \times 10^{2}$ , $5.3 \times 10^{4}$ → $7.5 \times 10^{2}$ , $5.3 \times 10^{4}$ , $5.8 \times 10^{4}$

Questions about these worksheets

Yes. Every comparing and ordering fractions and decimals sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the comparing and ordering fractions and decimals questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 6: compare two fractions, compare two decimals, order fractions, decimals and integers, order with square roots in the list, with absolute value and in scientific notation. Tick as many as you want and set how many of each, or let it spread them evenly.

Comparing tops or bottoms on their own. 5/8 has the bigger top and the bigger bottom, and it is still the smaller fraction.

Comparing and ordering fractions and decimals worksheet

Select your difficulty

Compare the fractions

Compare the numbers

Order from least to greatest

Compare and order with absolute value

Order numbers in scientific notation

Compare the fractions

Compare the numbers

Order from least to greatest

Compare and order with absolute value

Order numbers in scientific notation

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these comparing and ordering fractions and decimals worksheets free?+

Do the comparing and ordering fractions and decimals worksheets come with an answer key?+

Are these comparing and ordering fractions and decimals worksheets printable?+

What grade are these comparing and ordering fractions and decimals worksheets for?+

Can I get a different version of the same comparing and ordering fractions and decimals worksheet?+

Is this a free alternative to Kuta Software for comparing and ordering fractions and decimals?+

Can I choose how hard the comparing and ordering fractions and decimals questions are?+

What kinds of question are on a comparing and ordering fractions and decimals worksheet?+

What do students get wrong with comparing and ordering fractions and decimals?+