Practice Ordering Numbers in Math

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

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Quick Recap

Ordering numbers is the process of arranging numbers in sequence from smallest to largest (ascending order) or largest to smallest (descending order). To order numbers, compare them using place value, common denominators, or convert to the same form (e.g. all decimals).

Numbers live on a line—you can always put them in order from left to right.

Showing a random 20 of 65 problems.

Example 1

easy
Three kids have apples. Sam has 1, Pat has 4, Lou has 2. Order them smallest to biggest.

Example 2

medium
Order from least to greatest: 11,1,20,911, 1, 20, 9.

Example 3

easy
Order from least to greatest: 12,14,34\frac{1}{2}, \frac{1}{4}, \frac{3}{4}.

Example 4

easy
Place −2-2 correctly: order −2,1,−5,3-2, 1, -5, 3 from least to greatest.

Example 5

hard
You have 3 ducks, 5 ducks, and 4 ducks in three ponds. Put the ponds in order from smallest to biggest.

Example 6

medium
Order from smallest to biggest: 5,1,45, 1, 4.

Example 7

medium
Four students scored on a test: 18,12,16,918, 12, 16, 9. Put the scores in descending (greatest to least) order.

Example 8

easy
Order from greatest to least: 17,3,11,1417, 3, 11, 14.

Example 9

easy
Order from least to greatest: 7,3,9,17, 3, 9, 1.

Example 10

easy
Order from least to greatest: 6,2,10,86, 2, 10, 8.

Example 11

easy
Order from greatest to least: 507,705,570,750507, 705, 570, 750.

Example 12

easy
Order from greatest to least: 4,8,2,64, 8, 2, 6.

Example 13

medium
Order from least to greatest: −12,14,−34,0-\frac{1}{2}, \frac{1}{4}, -\frac{3}{4}, 0.

Example 14

medium
Order from least to greatest: 9,3,6,89, 3, 6, 8.

Example 15

medium
Order from greatest to least: 23,12,56\frac{2}{3}, \frac{1}{2}, \frac{5}{6}.

Example 16

challenge
Five distinct numbers are placed in ascending order. The largest is 2020, the smallest is 44, and the middle (3rd) is 1212. If the 2nd value is the average of the 1st and 3rd, find the 2nd value.

Example 17

easy
Arrange from least to greatest: 12\frac{1}{2}, 0.30.3, 34\frac{3}{4}, 0.650.65.

Example 18

medium
You have 5 blocks, 3 blocks, and 1 block in three piles. Put the piles in order from smallest to biggest.

Example 19

easy
Four classrooms have these book counts: 128,182,218,138128, 182, 218, 138. Order them from least to greatest.

Example 20

easy
A pet shop has 215215 fish, 251251 fish, 125125 fish, and 152152 fish in four tanks. Put the tanks in descending order (greatest to least).
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