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Unit 3

Unit 3. Adding and Subtracting Polynomials. Exercise 1 . How many quarters, nickels, and pennies are needed to make $1.13? . Exercise 1 . How many quarters, nickels, and pennies are needed to make $1.13? Answer: 4 quarters, 2 nickels, and 3 pennies. Exercise 2 (Base 10) .

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Unit 3

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  1. Unit 3 Adding and Subtracting Polynomials

  2. Exercise 1 • How many quarters, nickels, and pennies are needed to make $1.13?

  3. Exercise 1 • How many quarters, nickels, and pennies are needed to make $1.13? Answer: 4 quarters, 2 nickels, and 3 pennies.

  4. Exercise 2 (Base 10) • Fill in the blanks. • 8,943 = ___ x 1000 + ___ x 100 + ___ x 10 + 3 x 1 or ___ x + ___ x + ___ x 10 + 3 x 1

  5. Exercise 2 (Base 10) • Fill in the blanks. • 8,943 = _8__ x 1000 + _9__ x 100 + _4__ x 10 + 3 x 1 or _8__ x + __9_ x + __4_ x 10 + 3 x 1

  6. Exercise 3 (Base 20) • Fill in the blanks. • 8,943 = ___ x + ___ x + ___ x 20 + 3 x 1

  7. Exercise 3 (Base 20) • Fill in the blanks. • 8,943 = _1__ x + _2__ x + _7__ x 20 + 3 x 1

  8. Who else uses Base 20? • Mayan, Aztec and Celtic • Gettysburg Address • The word score (which means 20) originated from Celtic language. • Four score and seven years ago… 4 x 20 + 7 = 87 years

  9. Polynomials written in standard form are base x “numbers” • 1 x + 2 x + 7 x + 3 x 1 or equivalently: + 2 + 7 + 3 • A. What is the value of this expression if x = 10? • B. What is the value of this expression if x = 20

  10. Polynomials written in standard form are base x “numbers” • 1 x + 2 x + 7 x + 3 x 1 or equivalently: + 2 + 7 + 3 • A. What is the value of this expression if x = 10? 1,273 • B. What is the value of this expression if x = 20 8,943* * Notice 8,943 is the same answer we get from exercise #3, when we were looking at base 20. This is just a generalized form of the answer in exercise 3. However, as we change x , we get a different number each time.

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