SWBAT define the set of rational numbersSWBAT identify subsets of rational numbersSWBAT write rational numbers in equivalent forms

Identifying Types of Numbers

Rational Numbers Rational Numbers: a number that can

be written in fractional form, a/b where a and b are integers and b ≠ 0

A small submarine descended to a depth of 2 ¼ miles and then ascended 3/8 miles. These changes can be written as signed (positive or negative) numbers Descended means _______________ Ascended means _________________

Types of Rational Numbers

Subset Relationship

The Venn diagram shows how subsets of the set of rational numbers, Q, are related

Types of decimal forms

Terminating Decimal– if the quotient ha a remainder of zero

Repeating Decimal—if the quotient has a digit or group of digits that repeat without end

Write in decimal form

SWBAT graph rational numbers on a number lineSWBAT identify additive inversesSWBAT simplify rational numbers in absolute value

Number Line Activity

Graphing Rational Numbers

Additive Inverse Property Additive Inverse (opposites) – two rational numbers that are the same distance from zero on the number line, but on opposite sides of zero The sum of a rational number and

its additive inverse is 0 Examples

1 and ─ 1 2.5 and ─ 2.5

Additive Inverse Examples

Absolute Value

Absolute Value Examples

Examples