0-2 Real Numbers

Positive numbers The numbers listed to the right of zero on a number line.

Negative Numbers The numbers listed to the left of the zero on a number line.

Natural numbers Counting numbers

Whole numbers Zero and the counting numbers

Integers Zero and all positive and negative whole numbers

Rational numbers All integers and numbers that can be expressed as a fraction or a terminating or repeating decimal.

Irrational numbers Numbers that can not be expressed as terminating or repeating decimals on in the form of a fraction.

Square root One of two equal factors of a number (the principal square root is the positive square root of a number)

Perfect Square A number with a rational number as its square root.

Example 1 pg. P7 Classify Real numbers Name the set or sets of numbers to which each real number belongs. 1.) 9 10 2.) 121 3.) 18

Example 1 pg. P7 Classify Real numbers Name the set or sets of numbers to which each real number belongs. 1.) 9 10 rational number 2.) 121 natural number, whole number, integer, rational number 3.) 18 irrational number

Graph To draw, or plot the points named by those numbers on a number line.

Coordinate The number that corresponds to a point on a number line.

Example 2 pg. P8 Graph and Order Real Numbers Graph each set of numbers on a number line. 1.) { 5 3 , − 4 3 , 2 3 , − 1 3 } 2.) { 25 , 4. 6 , 15 , 4 3 8 } 3.) {− 9 4 , −2 7 10 , −2.1, − 8 }

Example 2 pg. P8 Graph and Order Real Numbers Graph each set of numbers on a number line. 1.) 5 3 , − 4 3 , 2 3 , − 1 3 -1 0 1 2.) { 25 , 4. 6 , 15 , 4 3 8 } 0 1 2 3 4 5 3.) {− 9 4 , −2 7 10 , −2.1, − 8 } -2.5 -2 -1.5 -1 0.5

Example 3 pg. P8 Write Repeating Decimals as Fractions Write 0. 23 as a fraction in simplest form.

Example 3 pg. P8 Write Repeating Decimals as Fractions Write 0. 23 as a fraction in simplest form. 23 99

Example 4 pg. P9 Simplify Roots Simplify each square root 1.) 64 16 2.) − 25 144

Example 4 pg. P9 Simplify Roots Simplify each square root 1.) 64 16 2 2.) − 25 144 − 5 12

Example 5 pg. P9 Estimate Roots Estimate each square root to the nearest whole number. 1.) 34 2.) 97

Example 5 pg. P9 Estimate Roots Estimate each square root to the nearest whole number. 1.) 34 ≈6 2.) 97 ≈10

0-2 pg. P10 1-35