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Copyright © Swun Math Grade 8 Unit 1 Lesson 9 T TE

Math Task

Unit 1 · Lesson 9: Classify Numbers

Directions: Create a diagram to classify real numbers.

Sometimes a visual diagram can be created to help show the relationship between different

sets of numbers. For example, we can create a mini-diagram to show that the sets of even

and odd numbers fit within the set of whole numbers. All other numbers would be outside

that specific set.

Using a ruler and a blank paper, create a diagram for rational and irrational numbers, which both fit

into an all-inclusive set called real numbers. Draw a large rectangle that is 7 inches by 5 inches and

label the rectangle real numbers on the upper left corner.

Consider the following sets of numbers:

• rational • irrational


• whole numbers • integers

Choose a shape for each set of numbers. All the sets above must fit within the real number set. Some

sets will fit inside other sets based on characteristics and definitions will not. Please provide 4

example numbers for each set and be prepared to justify why you chose your examples. Be sure to

label each set or subset along its top edge. Use different colors in each shape so the examples can be

easily read.

Solution:

Answers will vary.

Some students may

choose to add

additional shapes

inside rational

numbers for

decimals and fractions.

Whole Numbers

Even

Odd

• 2 .38

√^3

real numbers

whole numbers

−^23

• 2

0 .25

rational numbers (^1)
4
2
.333...
integers
2
–10
3
2
6
0
1 휋휋^
√ 3
−√ 22
.453671123...
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