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Catalyst Tuesday, October 11, 2011 Marlene and Jason each took an online test. Marlene answered 3/5 of the questions correctly. Jason answered a greater fraction of the questions correctly. Which of the following fractions could represent the fraction Jason answered correctly? a. 2/3 b. 6/10 c. ½ d. 3/8 Justify which the incorrect answers will NOT be correct. Incredible Integers What is an integer? Integers are the whole numbers and their opposites. Okay…but what does that mean? Two integers are opposites if they are the same distance from 0 in either the positive or negative direction on a number line. This means… • Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... • Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, … • Negative numbers are less than zero. Let’s look at some examples of opposites! • -4 and +4 • -2 and +2 • -5 and +5 Integers can also represent situations Here are some examples: • Sarah went up four steps • +4 • The temperature is twelve below zero. • -12 • The elevation of the mountain is 52,000 feet • +52,000 And a few more… • The football team lost 8 yards • -8 • Anne gained 10 pounds • +10 • Tara spent $20 of her checking account. • -$20 You try some!! • The stock market showed a gain of 212 points today • +212 • Death Valley, California is 282 feet below sea level • -282 • The elevator went down two floors. • -2 Integer Rules Addition/Subtraction + plus + = + - plus - = Multiplication/Division +x+=+ -x-=+ +/+=+ -/ - = - Now let’s talk about Absolute Value Absolute Value is… The distance a number is from zero on the number line. So… • Absolute value is shown by two bars on either side of an integer. • The absolute value of the number is really just the number without a sign (or neither negative nor positive) 4 Unless… • The negative sign is OUTSIDE of the absolute value bars. = -4 Here are some examples! • Example 1: • Example 2: =9 Now you try some! Time to practice! Let’s look at the worksheets you just got! Let’s go!!