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Example 5: The formula C = 5(F -32) 9

Warmup 8/29/12. Example 5: The formula C = 5(F -32) 9 Can be used to convert temperatures in degrees Fahrenheit to degrees Celsius.

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Example 5: The formula C = 5(F -32) 9

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  1. Warmup 8/29/12 • Example 5: The formula C = 5(F -32) 9 Can be used to convert temperatures in degrees Fahrenheit to degrees Celsius. • Room temperature commonly ranges from 64 F to 73 F. Determine the room temperature range in degrees Celsius.

  2. Example 5 cont’d • B) The normal average human body temperature is 98.6 F. A temperature above this indicates a fever. If your temperature is 42 C, do you have a fever? Explain your answer.

  3. Example 6: The radius of the earth’s orbit is 93,000,000 miles. • A)Find the circumference of the Earth’s orbit assuming that the orbit is a circle. The formula for the circumference of a circle is C = 2iir.

  4. B) Earth travels at a speed of 66,698 miles per hour around the sun. Use the formula T = c v where T is the time in hours, C is the circumference, and V is the velocity, to find the number of hours it takes the Earth to revolve around the sun.

  5. C) Did you prove that it takes one year for the earth to go around the sun? Explain your answer.

  6. 1.2 Properties of Real Numbers • Real numbers (R) – all numbers that you use in everyday life. • 2 categories: 1. Rational (Q)– expressed as a ratio m / n, where m and n are integers and n is not zero. *Decimals – STOP or repeat ex. 1/6, 1.9, 2.575757…., -3, 0

  7. 2. Irrational (I) – Decimal does not STOP or repeat Ex. √5, ∏, .010010001. . . . . Real Numbers Rational Irrational Integers Whole Natural

  8. Integers (Z)– all numbers you can write on the number line. ex…...-2, -1, 0, 1, 2..... • Whole numbers (W)– ex. 0, 1, 2, 3,………. • Natural numbers (N)– ex. 1, 2, 3, . ……… • Example 1: • Name the sets of numbers to which each number belongs. • A. √16 = 4 *R, Q, Z, W, N • B. -185 *R, Q, Z • C. √20 = 4.47213… *R, I

  9. D. -7/8 = .875 *R, Q E. 0.45 *R, Q Real Numbers Properties Property Addition Multiplication Commutative a + b = b + a a x b = b x a Associative (a + b) + c = a + (b + c) (a x b) x c = a x (b x c) Identity a + 0 = a = 0 + a a x 1 = a = 1 x a Inverse a + (-a) = 0 = (-a) + a If a ≠0, then a x 1/a = 1 = 1/a x a Distributive a(b + c) = ab + ac and (b + c)a = ba + ca

  10. Example 2: Name the property illustrated. a. (5 + 7) + 8 = 8 + (5 + 7) b. 3(4x) = (3x4)x Example 3:Identify the additive inverse and multiplicative inverse. a. -1¾ = -7/4 *Additive = -1¾ + 1¾ = 0 *Multiplicative = (-7/4) x (-4/7) = 1

  11. Warmup 8/30/12 Name the property. a. (5 + 7) + 8 = 8 + (5 + 7) b. 3(4x) = (3x4)x

  12. Example 3: b. 1.25 *Additive = 1.25 + (-1.25) = 0 *Multiplicative = 1.25 x 1/ 1.25 = 1

  13. Word Problem • Julie is making curtains out of the same fabric for 5 windows. The 2 larger windows are the same size and the 3 smaller windows are the same size. One larger window requires 3¾yds of fabric and one smaller window needs 2⅓ yds of fabric. How many total yards of fabric will Julie need?

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