Definitions
Categorizing numbers
Sometimes, always, never
Others
Find the number(s)
100

A set of all positive counting numbers starting at 1

Natural numbers

100

What number sets does 5 fall in

natural, whole, integer, rational, and real

100

A rational can be irrational

Never

100

Give me two integers that are not whole numbers

any two negative numbers that have no decimal or fraction parts

100

square root of 225

15

200

A set of all positive and negative integers, fractions, and repeating or terminating decimals

rational numbers

200

What number sets does 0 fall in?

Whole, integer, rational, and real

200

A natural number is a whole number

always

200

A whole number that is not a natural number

zero

200

What is 25 square?

625

300

A set of all whole numbers and their opposites

integers

300

What number sets does .3333333333333... fit in?

rational and real

300

A rational number is an integer

sometimes

300

Two rational numbers that are not integers

Any terminating or repeating decimal or fractions

300

√49 * (5+2)

49

400

a set of all counting numbers and zero

whole numbers

400

What number sets does .4567893245764325679420... fit in?

irrational and real

400

an irrational number can be written as a fraction

never

400

Give a number that is rational and terminated.

Example: 1.5, 2.798, 7.83, 2.05...

400

Between which two integers is the  square root of 72?

8 and 9

500

A set of numbers that are non-repeating and non-terminating decimals and cannot be written as a fraction

irrational numbers

500

What number sets does the square root of 144 fit in?

Natural, Whole, Integer, Rational, and real

500

A whole number is a natural number

sometimes

500

Give a number that is irrational.

Example: π, √2...

500

Between which two integers is the negative square root of 130?

-12 and -11