Practice Comparison in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Worksheet PDF Free Answer-key PDF Family

Quick Recap

Determining how two quantities relate in terms of size or value, using the symbols <<, >>, or ==.

Which is bigger? Which is smaller? Are they the same? Comparison answers these questions with precision.

Showing a random 20 of 64 problems.

Example 1

easy
Two libraries report their books: Maple Library has 478478 books and Birch Library has 487487 books. Which library has more books?

Example 2

medium
Fill in with <<, >>, or ==: 16  □  1316 \;\square\; 13.

Example 3

easy
Which symbol makes it true: 0.7  □  0.650.7 \;\square\; 0.65?

Example 4

challenge
Numbers aa and bb satisfy a<ba < b. Compare a+b2\frac{a+b}{2} with aa and with bb.

Example 5

medium
Which symbol makes this true: 804  □  840804 \;\square\; 840?

Example 6

medium
Order using <<: place 56,0.8,45\frac{5}{6}, 0.8, \frac{4}{5} in increasing order.

Example 7

easy
Fill in: 3  □  33 \;\square\; 3.

Example 8

challenge
For which positive integers nn is nn+1<n+1n+2\frac{n}{n+1} < \frac{n+1}{n+2}?

Example 9

medium
Without a calculator, determine which is larger: 50\sqrt{50} or 7.17.1.

Example 10

medium
Is ab=cd\frac{a}{b} = \frac{c}{d} when a=3,b=4,c=9,d=12a=3,b=4,c=9,d=12? Justify with cross products.

Example 11

medium
Lily has 2 balloons. Sam has 4 balloons. Who has fewer balloons?

Example 12

hard
Three plants are measured. Plant A is 18 cm, Plant B is 9 cm, and Plant C is 15 cm. Order them from shortest to tallest using <<.

Example 13

hard
You have 4 stickers. Your sister has 4 stickers. Who has more?

Example 14

medium
Compare 4 and 8. Which is smaller?

Example 15

easy
Fill in: 0.5  □  0.500.5 \;\square\; 0.50.

Example 16

easy
Mia is 8 blocks tall. Jay is 7 blocks tall. Who is taller?

Example 17

challenge
Without converting to decimals, decide which is larger: 1718\frac{17}{18} or 1819\frac{18}{19}.

Example 18

medium
Order from greatest to least: 88, 1818, 1313.

Example 19

easy
You have 3 cookies. Your friend has 5 cookies. Who has more?

Example 20

easy
Fill in with <<, >>, or ==: 239  □  239239 \;\square\; 239.
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