Real Number Classification

i-can

Write down this problem on your

COMMUNICATORBe prepared to share your work with the

class.

Page ?? of your INB

Classify 0 as a rational, irrational, integer, whole, natural number or some combination of the groups above.

Determine which two numbers - is in between.

- - -- - √0 √16√9√ 4 √25√1

-

Have your homework out on your desk.

RE-Hey You. Try this CHALLENGE question:

Write this Rational Number as a fraction: -5.5555

- = -

Get into your 4-Square Groups

i-can

Page ?? of your INB

Classify 0 as a rational, irrational, integer, whole, natural number or some combination of the groups above.

RATIONALNUMBERSAll numbers that can be written in the form .

Examples:

Decimals that terminateor repeat.

Examples: 0.356 and 0.555…

Examples:

IRRATIONALNUMBERS

Real numbers that areNOT RATIONAL

Decimals that go on forever and never repeat.

Examples: , & 0.987556…

Examples: -

The

CRAZY

Ones!

√ 𝑝𝑒𝑟𝑓𝑒𝑐𝑡𝑠𝑞𝑢𝑎𝑟𝑒𝑠3√𝑝𝑒𝑟𝑓𝑒𝑐𝑡𝑐𝑢𝑏𝑒𝑠 √𝑛𝑜𝑛𝑝𝑒𝑟𝑓𝑒𝑐𝑡𝑠𝑞𝑢𝑎𝑟𝑒𝑠

3√𝑛𝑜𝑛𝑝𝑒𝑟𝑓𝑒𝑐𝑡𝑐𝑢𝑏𝑒𝑠

𝑎𝑏X

Use your CommunicatorsWrite an I on one side for Irrational

and R on the other side Rational

√16√813√273√56.153.5687452…0.3535…Are these numbers Rational/Irrational?

R

3√8√2𝜋𝜋85𝜋34

Class Activity

Rational/Irrational

SKIT

1, 2, 3, 4…0 … -4, -3, -2 -1

𝑎𝑏 Decimals that repeatDecimals that terminate 𝑎

𝑏Decimals that repeatDecimals that terminate+/-

+/-

XXX

X

X

√ 𝑝𝑒𝑟𝑓𝑒𝑐𝑡𝑠𝑞𝑢𝑎𝑟𝑒𝑠

Where would

Where would

√𝑝𝑒𝑟𝑓𝑒𝑐𝑡𝑐𝑢𝑏𝑒𝑠- -

IN YOUR GROUPSPlace the following numbers in theirAppropriate boxes in your foldable.

√36 √2 −√49−√15 3√1253√30− 3√27 − 3√5𝜋 𝜋

30.444… 0.125 2

5 0.6543986204…

1, 2, 3, 4…0 … -4, -3, -2 -1

𝑎𝑏Decimals that repeat and terminate

√36 √2 −√49−√15 3√1253√30− 3√27 − 3√5𝜋 𝜋

3

Decimals that do notterminate or repeat

0.444… 0.125 25 0.6543986204…

Square roots of Non-Perfect SquaresCube roots of Non-Perfect Cubes

𝑎𝑏X

Let’s go back to our “I can” statement and solve it with our new skills.

0

i-can Classify 0 as a rational, irrational, integer, whole, natural number or some combination of the groups above.

Worksheet5.3

NumberClassification