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Bell Ringer #1 • Evaluate 1. 4𝑛 2 𝑓𝑜𝑟 𝑛 = 2 2. 𝑝1 𝑓𝑜𝑟 𝑝 = 24 Multiply 3. 5 𝑎 + 𝑏 + 𝑑 4. 7(3𝑧 + 𝑦 + 2) 2.1 Integers and the Number Line • Whole numbers: 0, 1, 2, 3, 4, … • Opposites: Numbers that are the same distance from zero, but on the opposite side of zero –Ex: 3 (“positive three”) and – 3 (“negative three”) • Integers: consists of the positive whole numbers, negative whole numbers, and zero {… - 4, -3, -2, -1, 0, 1, 2, 3, 4, …} • Name the integer that is suggested by each situation. • 1. Death valley is 282 ft below sea level • 2. The temperature is 3° below 0 • 3. The halfback made a gain of 8 yards • 4. Mikey's juice stand made an $18 profit on Monday You Try 1. The quarterback lost 9 yards. 2. Susie saved $15 for her allowance. Inequalities An inequality is a sentence that compares two values. < Less than > Greater than 2 > -4 5<7 “2 is greater than 4” “5 is less than 7” Write a true sentence using > or < 2 ____ 9 -18 ____ -15 -7 ____ 3 -15 ____ -5 6 ____ -12 11 ____ -2 Absolute value • The distance from zero. • |n| = “the absolute value of n” • ALWAYS positive!!! Examples 1. |12| 5. |3| 2. |-7| 6. |-3| 3. |-3.04| 7. |21| 4. |0| 8. |-14| Ticket Out The Door Name the integer that is suggested by each situation. 1. The running back lost 9 yards 2. Mike made a profit of $200 Use > or < to make a true sentence. Simplify absolute value first. 3. −11 ____ 9 4. 9 ____ −10