Real Numbers and the Number Line

Real Numbers and a Number Line

Essential Understanding-

- A number a is a square root of a number b if  $\alpha^2$ = b.

-Example  $7^2$  = 49, so 7 is a square root of 49

You can use the definition above to find the exact square roots of some nonnegative numbers. You can approximate the square roots of other nonnegative numbers. 

Essential Understanding-

The radical symbol $\sqrt{ }$    indicates a nonnegative square root, also called a principal square root. The expression under the radical symbol is called the radicand.  $\sqrt{a}$  

Together, the radical symbol and radicand form a radical. 

Lesson Vocabulary

• square root

• radicand

• radical

• perfect square

• Set

• Element pf a set

• Subset

Lesson Vocabulary

• Rational numbers

• Natural Numbers

• Whole Numbers

• Integers

• Irrational Numbers

• Real Numbers

• Inequality

Go to blackboard and click on the real number system link for target 1.3

Multiple Choice

What is the definition of an integer

• All positive and negative whole numbers
• Decimals or fractions that terminate for repeat
• All positive whole numbers
• 0

Multiple Choice

All whole numbers are rational numbers

• True
• False

Multiple Choice

All Integers are whole numbers

• true
• false

Multiple Choice

Classify the number 0

• Whole
• Integer
• Rational
• All of the above

Multiple Choice

Classify the number 3

• Natural, Whole, Integer, Rational
• Whole, Rational
• Integer
• Rational