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Algebra 1 Section 2.1 Graph and order real numbers Find absolute values and opposites The numbers used in algebra 1 are real numbers. They include whole numbers {0,1,2,3…), integers {…-2,-1,0,1,2,…}, rational numbers (fractions and decimals) and irrational numbers (√7, π ) Every real number can be represented by a point on a real number line. • Plot the numbers: 7, -4, 2⅓, -5.2, 6⅔, π Both number lines and inequality signs can be used to order numbers. Inequality signs > Greater than < Less than Graph and order the numbers: 6, 5.1, -1.7, , Two numbers that are the same distance from the origin are opposites. Number 7 -2 0 a Opposite -7 2 0 -a The absolute value of a number is the distance the number is from the origin on a number line. It is denoted as |x|. • Simplify | -8 | - (-4) | 15 | - (-|-13|) |0| | -12 | + | 16 | Find the solution: |x|=9 |x|=7 Assignment: page 67 Problems 15 – 72 divisible by 3