The Real Number System Real Numbers Irrational Numbers ... -1.5, -1, -0.5, 0, 0.5, 1, 1.5, … Integers ... -3, -2, -1, 0, 1, 2, 3, … Whole Numbers 0, 1, 2, 3, 4, 5, 6, … Natural Numbers 1, 2, 3, 4, 5, 6, …

The Real Number Line | | | | | | | | | | | -5 -4 -3 -2 -1 0 1 2 3 4 5 | | | | | | | | | | | -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 Natural Numbers Whole Numbers Integers | | | | | | | | | | | -5 -4 -3 -2 -1 0 1 2 3 4 5 -4.5 -2.5 0.33 1.7 2.9 4.1 Remember that Irrational Numbers do not have an exact point on the number line. Rational Numbers Irrational Numbers

Square Roots A 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.

Common Perfect Squares Here is a list of the first 20 perfect squares. I should probably try to remember those.

Evaluating Square Roots A number is a Perfect Square if it is the product of two Identical Factors. Evaluate the following radicals

More Evaluating Radicals These are all Rational Numbers These are all Irrational Numbers

Irrational Roots will always fall between two consecutive integers. More Irrational Roots Irrational Roots will always fall between two consecutive integers. Between what two consecutive integers is each square root? Between 5 and 6 Between -12 and -11 Between 14 and 15 Asi De Facil That was easy

Homework Page 20: 10 – 22 & 28 - 36 Even Numbers Only

Expressing a Decimal as a Rational Number A rational number is any number that can be written in the form Write the fraction as the given number over the place value. Reduce the resulting fraction if possible.

Expressing Rational Numbers as a Decimal A rational number is any number that can be written in the form Common Fractions Decimal Fractions Written 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.

Repeating Decimals That was easy The same number, or pattern of numbers, repeats. That was easy

Symbols of Inequality 9 is greater than 2 2 is less than 9 Example Written in Words 9 is greater than 2 2 is less than 9 9 is greater than or equal to 2 2 is less than or equal to 9 2 is not equal to 9

Comparing Real Numbers Compare the following numbers with an inequality symbol. Write each as a decimal Compare the decimals Write the answer with the original numbers

Ordering Numbers from Least to Greatest Order the numbers in each group from least to greatest.

Homework Page 20: 38 - 50 Even Numbers Only