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Presentation transcript:

(as opposed to fake numbers?) REAL NUMBERS (as opposed to fake numbers?)

Two Kinds of Real Numbers Rational Numbers Irrational Numbers

Two Kinds of Real Numbers Rational Numbers Irrational Numbers

Rational Numbers A rational number is a real number that can be written as a ratio of two integers. A rational number written in decimal form is terminating or repeating.

Examples of Rational Numbers 16 1/2 3.56 -8 1.3333… - 3/4

Irrational Numbers An irrational number is a number that cannot be written as a ratio of two integers. Irrational numbers written as decimals are non-terminating and non-repeating.

Examples of Irrational Numbers Square roots of non-perfect “squares” Pi 17

LET’S PRACTICE! Directions: Write the decimal form of the # State whether the decimal is terminating, repeating, or nonrepeating. Decide whether the number is rational or irrational.

PRACTICE 4/11 0.36…, Repeating, RATIONAL 5/8 0.625, Terminating, RATIONAL 16 4, Terminating, RATIONAL

One of the subsets of rational numbers Integers One of the subsets of rational numbers

What are integers? Integers are the whole numbers and their opposites. Examples of integers are 6 -12 186 -934

Integers are rational numbers because they can be written as fraction with 1 as the denominator.