Sum/Difference of Squares and Imaginary/Complex Numbers

 $x^2+100$  

•  $+10$  

•  $-10$  

•  $\sqrt{-10}$  

•  $\pm10i$  

 $x^2+400$  

•  $\pm20i$  

•  $\pm\sqrt{20}$  

•  $20$  

•  $-20$  

 $c^2+25$  

•  $\pm5$  

•  $\pm\sqrt{25}$  

•  $\pm5i$  

•  $\pm-5$  

 $x^2-25$  

• 5

• -5

•  $\pm5$  

•  $\pm-5$  

 $x^2-81$  

•  $\pm9$  

• 9

• -9

• √9

What is an imaginary number?

• An irrational number

• A number that is not a "real" number (i.e. 0, 1, 2, 3...)

• An imaginary number is a number that when it is squared, it gives you a negative result.

• A rational number

What is a real number?

• A number that you can touch

• A number that is greater than 0 (1, 2, 3, etc)

• A real number is a value that can be represented on a number like (-2, -1, 0, 1, 2, etc)

• A negative number

What is an irrational number?

• A number that can be written as a fraction

• A number that is imaginary

• A real number that cannot be written as a simple fraction (i.e. a repeating decimal)

• A number that can be written as a pizza

 $x^2-9$  

• -3

• 3

• √3

•  $\pm3$  

What is a whole number?

• A number that is a fraction.

• A number that can be written without a fraction.

• A number less than 1.

• A number greater than 1.