9.1 Rational & Irrational Numbers

Cube Root

# multiplied by itself a total of 3x equals a given # Ex: 1/3 (3) = 1/3*1/3*1/3=1/27 (27=1/3)

Square root

# multiplied by itself equals the given #.

Perfect Square

1(2) = 1*1=1 2(2) = 2*2=4 3(2) = 3*3=9 4(2) = 4*4=16 5(2) = 5*5=25 6(2) = 6*6=36 7(2) = 7*7=49 8(2) = 8*8=64 9(2) = 9*9=81 10(2) = 10*10=100

Perfect Cubes

1(3) = 1*1*1=1 2(3) = 2*2*2=8 3(3) = 3*3*3=27 4(3) = 4*4*4=64 5(3) = 5*5*5=125 6(3) = 6*6*6=216 7(3) = 7*7*7=343 8(3) = 8*8*8=512 9(3) = 9*9*9=729 10(3) = 10*10*10=1000

Repeating Decimal

A block of 1 or more digits that repeat indefinitely, write a bar over the repeating digits.

Terminating Decimal

Finit # of digits decimal comes to an end.

Rational

Fits in the form of a/b where b cannot be zero Ex: 75% = 3/4 0.5 = 1/2 3 & 3/4 = 15/4

Irrational

NOT rational

Radical sign

asks for the principal (or positive) square root

Perfect Squares

square roots are integers Ex: 4(2) = 16 -4(2) = 16