The Real Number System

The Real Number System

Learning Target

• I can classify numbers using The Real Number System.

 $\sqrt{51}$  

Imperfect Square, resulting in an Irrational Number.

The Real Number System

Irrational Numbers are just one grouping part of a larger classification known as....

Number System

• Natural Numbers (Counting): 1, 2, 3....

• Whole Numbers: 0, 1, 2, 3, (includes zero)

• Integers: -2, -1, 0, 1, 2 (Whole numbers and opposites)

• Rational Numbers: fractions, repeating, and terminating decimals

   $-0.25,\ 0,\frac{1}{3},\ 2$  
  

• Irrational Numbers: nonterminating/non-repeating decimals.  $\pi,\ 6.743098...,\ \sqrt{79}$  

Multiple Choice

Is the number. 0.64646464... rational or irrational?

• Irrational because it is nonterminating.

• Rational because it is repeating.

• Irrational because it is an imperfect square.

• Rational because it terminates.

Multiple Choice

Is the number 3.74165738... rational or irrational?

• Irrational because it is nonrepeating/nonterminating.

• Rational because it is a decimal.

• Irrational because it is terminating.

• Rational because it repeats.

Multiple Choice

The number 9, classifies as all of the following groups except which one?

• Natural

• Whole

• Irrational

• Real

Today's Assignment

• BrainPOP Assigned Video & Quiz