Today in class students used a climber's elevation to think about subtracting rational numbers. It helps to think about elevation like a thermometer - a sideways number line; so how many units does it take to get to the new elevation...
Answers to HW: 1. 82 is 42 degrees warmer than 40. 82 is 122 degrees warmer than -40. 2. It is a proportional relationship which can be represented as p=5,184⋅a where p represents the number of pixels and a is the area of the screen in square inches. (Same format as y = kx) 3. The difference in height is -57 m, because 30 − 87 = -57. The distance is 57 m, because |-57| = 57. The difference in height is 130 m, because 100 −(-30) = 130. The distance is 130 m, because |130| = 130. 4. -11 43 -15 -318 5. The bill was close to $32.60. We can't tell the exact amount because the suggested dollar amounts have been rounded to the hundredths place. 4.89 ÷ 0.15 = 32.60, 5.87 ÷ 0.18 = 32.61, and 6.52 ÷ 0.2 = 32.60. The first and third quotients are exact while the middle quotient is rounded to the nearest hundredth. 6. Polygon D is a scaled copy of Polygon A. This is true because all of the side lengths are doubled. The area of Polygon D is 4 times the area of Polygon A.
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