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Introduction to Basic Algebra Prepared by: Sir Angelo February 26, 2009 Mental Computation Find the mode of the given set of numbers: 11, 16, 12, 11, 13, 15, 11, 18, 11, 16 Let’s try!!! The highest elevation in North America is Mt. McKinley, which is 20,320 feet above sea level. The lowest elevation is Death Valley, which is 282 feet below sea level. What is the distance from the top of Mt. McKinley to the bottom of Death Valley? The problem question uses the notion of opposites. Above sea level is the opposite of below sea level. Can you give other examples of opposites? top-bottom increase-decrease forward-backward positive-negative The problem question may be solved using the concept of integers, but what are integers? Integers are the set of whole numbers and their opposites. A number line can be used to represent the set of integers. unsigned or neutral negative integers integer positive integers -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 opposites Facts about Integers in a Number Line • The number line extends infinitely in both directions. This is indicated by arrows. Therefore, there are no smallest and biggest numbers or integers. • Whole numbers greater than zero are called positive integers. These numbers are to the right of zero on the number line. Facts about Integers in a Number Line • Whole numbers less than zero are called negative integers. These numbers are to the left of zero on the number line. • The integer zero is neutral. It is neither positive nor negative. • On a number line, any number is bigger than all the numbers to its left. The number gets smaller as you move to the left on the number line. Facts about Integers in a Number Line • Two integers are opposite if they are each the same distance away from zero, but on opposite sides of the number line. One will have a positive sign, the other a negative sign. Let’s go back to our problem question earlier. Let us now Elevation Integer solve the 20,320 feet above 20,320 problem using sea level the concept of integers. We sea level 0 can represent 282 feet below sea -282 each elevation level as an integer. The distance from the top of Mt. McKinley to the sea level is 20,320. The distance from the bottom of Death Valley to the sea level is 282. Therefore, the answer is 20,602 feet. Comparing Integers • Write >, <, or =. a.) 3 ___ -8 b.) -15 ___ -1 c.) -2 ___ 0 d.) -8 ___ -6 e.) 4 ___ -9 f.) -1 ___ 1 g.) -26 ___ -25 Give an integer to represent each situation. • 10 degrees above zero • A loss of 16 pesos • A gain of 5 points • 8 steps backward Name the opposite of each integer. • -12 • 21 • -17 • 9 • 25 • -346 • -9 Seatwork • Answer Test Yourself A, B, C on pages 247-248. • Answer Test Yourself A and B on pages 252-253. • Answer Challenge Yourself on pages 253- 254. Schedule of Quiz 5 and Long Test 2 • Quiz 5 – March 4 (Wednesday) Integers, Comparing Integers, and Operations on Integers • Long Test 2 – March 6 (Friday) Statistics, Probability, and Integers

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basic algebra, introduction to algebra, how to, introduction to basic, algebra lessons, quadratic equations, boolean algebra, simple english, word problems, basic math, addition and subtraction, algebra help, order of operations, high school, probability and statistics

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posted: | 3/5/2010 |

language: | English |

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