Unit 2 Chapter 3 Real Numbers

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Presentation transcript:

Unit 2 Chapter 3 Real Numbers Why is it helpful to write numbers in different ways? Pg. 163

P-E-M-D-A-S Please Excuse My Dear Aunt Sally Parentheses Exponents Multiply and Divide Add and Subtract

Are You Ready? Example 1 Example 2 60 Find Find Prime Factorization of 60 Prime Number - A number whose factors are only 1 and itself. (DO NOT WRITE THE #1)

Questions? Simplify Prime Factorization 24 100 - 42

Lesson #1 Pg. 167 http://www.youtube.com/watch?v=m94WTZP14SA Rational Numbers Lesson #1 Pg. 167 http://www.youtube.com/watch?v=m94WTZP14SA

Real Number System Natural numbers are the counting numbers: 1, 2, 3, … Whole numbers are the natural numbers and zero: 0, 1, 2, 3, … Integers are whole numbers and their opposites: …, –3, –2, –1, 0, 1, 2, 3, … Rational numbers can be expressed in the form , where a and b are both integers and b ≠ 0: , , Irrational Numbers We will discuss these later

Repeating and Terminating Decimals The decimal form of a rational number is called a repeating decimal. If the repeating digit is zero, then the decimal is a terminating decimal. Rational Number Repeating Decimal Terminating 0.5000… 0.4000… 0.833…

Real Number System REAL NUMBERS RATIONAL NUMBERS INTEGERS IRRATIONAL NUMBERS INTEGERS WHOLE NUMBERS NATURAL NUMBERS

What are Rational Numbers? Rational Numbers Are… Numbers that can be written as a comparison of two integers, expressed as a fraction (division) Rational Numbers Percent Decimal Fraction Mixed Numbers 19% .32

Examples Write each fraction or mixed number as a decimal…

Examples Write each decimal as a fraction… We must NAME A VARIABLE….

Homework HC: pg. 171-172 (1-19) CC: pg. 171-172 (1-13, 15, 16, 18, 19)