Presentation on theme: "The Real Number System Real Numbers Irrational Numbers"— Presentation transcript:
1 The Real Number System Real Numbers Irrational Numbers , -1, -0.5, 0, 0.5, 1, 1.5, …Integers... -3, -2, -1, 0, 1, 2, 3, …Whole Numbers0, 1, 2, 3, 4, 5, 6, …Natural Numbers1, 2, 3, 4, 5, 6, …
2 The Real Number Line | | | | | | | | | | | -5 -4 -3 -2 -1 0 1 2 3 4 5 | | | | | | | | | | |NaturalNumbersWholeNumbersIntegers| | | | | | | | | | |Remember that Irrational Numbers do not have an exact point on the number line.RationalNumbersIrrational Numbers
3 Square RootsA number is a Perfect Square if it is the product of two Identical Factors.These are all perfect squares because they are the product of two identical factors.
4 Common Perfect Squares Here is a list of the first 20 perfect squares.I should probably try to remember those.
5 Evaluating Square Roots A number is a Perfect Square if it is the product of two Identical Factors.Evaluate the following radicals
6 More Evaluating Radicals These are all Rational NumbersThese are all Irrational Numbers
7 Irrational Roots will always fall between two consecutive integers. More Irrational RootsIrrational Roots will always fall between two consecutive integers.Between what two consecutive integers is each square root?Between5 and 6Between-12 and -11Between14 and 15Asi De FacilThat was easy
9 Expressing a Decimal as a Rational Number A rational number is any number that can be written in the formWrite the fraction as the given number over the place value. Reduce the resulting fraction if possible.
10 Expressing Rational Numbers as a Decimal A rational number is any number that can be written in the formCommon FractionsDecimal FractionsWritten with a numerator and a denominator.The numerator is written after the decimal point and the denominator is indicated by the place value of the last digit.To express as a decimal, perform the division.These are all terminating decimals.
11 Repeating Decimals That was easy The same number, or pattern of numbers, repeats.That was easy
12 Symbols of Inequality 9 is greater than 2 2 is less than 9 ExampleWritten in Words9 is greater than 22 is less than 99 is greater than or equal to 22 is less than or equal to 92 is not equal to 9
13 Comparing Real Numbers Compare the following numbers with an inequality symbol.Write each as a decimalCompare the decimalsWrite the answer with the original numbers
14 Ordering Numbers from Least to Greatest Order the numbers in each group from least to greatest.