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Week 12, Day Two. HW # 40 - Review for Mastery 4-1 AND p. 170 # 1-29 odd Warm up. Find the product. 1. 5 • 5 • 5 • 5. 2. 3 • 3 • 3. 3. (–7) • (–7) • (–7). 4. 9 • 9. Week 12, Day Two. HW # 40 - Review for Mastery 4-1 AND p. 170 #1-30 odd Warm up. Find the product.
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Week 12, Day Two HW # 40- Review for Mastery 4-1 AND p. 170 #1-29 odd Warm up Find the product. 1. 5 • 5 • 5 • 5 2. 3 • 3 • 3 3. (–7) • (–7) • (–7) 4. 9 • 9
Week 12, Day Two HW # 40- Review for Mastery 4-1 AND p. 170 #1-30 odd Warm up Find the product. 1. 5 • 5 • 5 • 5 625 27 2. 3 • 3 • 3 –343 3. (–7) • (–7) • (–7) 4. 9 • 9 81
Homework Check X = 1 ½ N= 3 X= 5 X= - 1 1/6 X= 1 3/4
Goals for Today • Exponents – Big Ideas • KWL (Know, What you want to know, Learned)
Stanford Linear Accelerator They use exponents and roots to express the sizes and numbers of particles they study.
Rene was born on March 31st, 1596 • When he was 1 year old his mother died and his father became his legal owner • At 8 years old he went to “college” • When Rene got older, his father wanted him to be a lawyer. But, he did not want to be a lawyer, so he ran away to travel.
In 1649, Descartes was invited by the Queen of Sweden to work on mathematics. • She wanted to work early in the morning. • Rene had to get up early. He had to travel in the cold to reach the palace. • After a few months, he died from pnemonia. • He is credited with the modern notation for exponents.
On the Back of your Paper Explain the difference between: (-5)2 and -52 Compare 3 * 2 32 23 Show that (4-11)2 is ≠ to 42-112
Explain the difference between: (-5)2= (-5)(-5) = 25 Whereas -52 = -(5·5) = -25 What if the exponent was odd? Compare: 3 * 2 =6 32 = 3*3= 9 23 =2*2*2 = 8 Show that (4-11)2 is ≠ to 42-112 (4-11)2= (-7)2= 49 42-112= 16 – 121 = -105
Evaluate x – y (z * y2) for x=20 y = 4 z = 2
Evaluate x – y (z * y2) for x=20 y = 4 z = 2 20 – 4 (2 * 42) 20 – 4 (2 * 4*4) 20 – 4 (2 * 16) 20 – 4 ( 32) 20 + (-4 * 32) 20 + -128 20 – 128 -108 Something to think about, what about negative or fractional exponents?
Work on HW • Textbook work first • Worksheet second • Pass out HW passes