# Math intro, A document is uploaded

Math intro 1

Question 1 (4 points)

Convert the following numbers into scientific notation.

a) 0.00034

b) 635,000

Question 2 (3 points)

The driver measured his driving time with a cell phone to be 2.125 hours at a fixed speed of 71.5 mph. Calculate the distance traveled with d = vt. Express your result in the appropriate significant figures.

Question 3 (3 points)

Two students have measured the temperature in the room with different devices to be 71.6 deg F and 71.72 deg F. Calculate the average of these two readings and express your result in the appropriate significant figures.

Math intro 2

Question 1 (2 points)

Convert the following numbers given 1 hr = 60 min.

a) 2.3 hrs to min. Treat this number as a measurement and round your result to significant figures. Remember, the scale factor itself is NOT part of the significant figures.

b) 1054 min to hrs. Round to significant figures.

Question 2 (2 points)

Convert the following numbers using the following: 1 hr = 60 min, 1 min = 60 s, 1000 m = 1 km, 1.6 km = 1 mile.

a) 5.07 x 104 s to hrs. Round to significant figures.

b) 8.123 x 103 m to miles. Round to significant figures.

Question 3 (6 points)

Determine the semimajor axis, a, of the ellipse shown below by following steps a) through d). Express all your answers in the appropriate number of significant figures.

a) Measure the length of the scale bar on the screen in the units of your measuring device (cm-ruler or inch-ruler or …). Convert the length of the scale bar into units of AU. This is going to be your scale factor to multiply all other measurements by.

b) Measure Dp with your measuring device then convert to AU using your scale factor from a).

c) Measure Da with your measuring device then convert to AU using your scale factor from a).

d) Determine the semimajor axis, a, by taking the average of Dp and Da.

Math intro 3

Question 1 (2 points)

Use Kuiper Belt Object Haumea’s eccentricity, e = 0.189, semimajor axis, a = 43.3 AU, and Period, P = 285 yrs, values to

a) calculate its perihelion and aphelion distances with Dp = a (1 – e) and Da = a (1 + e),

b) verify if Haumea’s a