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Objective - To recognize, graph, and compare rational numbers. Rational Number - any number that can be written as a fraction. including decimals... including.

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Presentation on theme: "Objective - To recognize, graph, and compare rational numbers. Rational Number - any number that can be written as a fraction. including decimals... including."— Presentation transcript:

1 Objective - To recognize, graph, and compare rational numbers. Rational Number - any number that can be written as a fraction. including decimals... including decimals that repeat... including Integers... including Wholes...

2 Rational Numbers Fractions/DecimalsIntegers …-3, -2, -1, 0, 1, 2, 3… Negative Integers …-3, -2, -1 Wholes 0, 1, 2, 3... Zero 0 Naturals 1, 2, 3...

3 Create a Venn Diagram that shows the relationships between the following sets of numbers. Naturals, Wholes, Integers, Rationals Naturals 1, 2, 3... Wholes 0 Integers -3 -47 Rationals

4 Identify all of the sets to which each number belongs. (Naturals, Wholes, Integers, Rationals) 1) -6 2) 3) 14 4) 0.8 Integer Rational Natural Rational, Rational, Whole, Integer, Rational

5 1) 0 2) - 2.03 3) 4) Whole Rational Identify all of the sets to which each number belongs. (Naturals, Wholes, Integers, Rationals), Integer, Rational

6 Show that each number below is Rational by writing it as a fraction in the form

7 Comparing Rational Numbers in Decimal Form Use to compare. 1) 8.45987 8.51 8.45987 8.51 < 2) 0.3 0.335 0.33333... 0.335 < 3) 14.2 1.538 14.2 1.538 > 0

8 Use to compare the fractions below. > < > < Comparing Rational Numbers in Fraction Form

9 Graph the fractions below on a number line, then order them from least to greatest.

10 Graphing Rational Numbers on a Number Line Graph the following numbers on a number line. -4 -3 -2 -1 0 1 2 3 4

11 > All rational numbers either terminate or repeat when changed to a decimal.

12 Density Rational numbers are infinitely dense. This implies that between any two rational numbers, an infinite number of other rational numbers exist. 01


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