1. How many significant figures are in 1009.630? 2. A spaceship on its way to an

Question

1. How many significant figures are in 1009.630? 2. A spaceship on its way to another planet is traveling at a speed of 4200 miles per hour. How fast is this in units of millimeters per second? If a room requires 25.4 square yards of carpeting, what is the area of the floor in units of ft^3? The Honda insight, a hybrid electric vehicle, has an EPA gas mileage rating of $7.0 mi/gal in the city, enough fuel to reach the next gas station that is 15.5 km away it the car only contained the amount fit into a 20.0 oz soda bottle? What is the maximum distance that the cat can travel?

Explanation / Answer

1. 1009.630

All the digits are significant here. So, there are 7 significant figures.

2.

Speed = 4200 miles/hr

1 mile = 1.60 Km

1 Km = 1000 m

1 m = 100 cm

1 cm = 10 mm

So, 4200 miles = 4200 x 1.60 x 1000 x 100 x 10 = 6720000000 mm

And we know that

1 hour = 60 min.

1 min = 60 sec.

So, 1 hr = 60 x 60 = 3600 sec.

4200 miles/hr = 6720000000 mm / 3600 sec = 1866666.667 mm/s

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3.

Given, 25.4 square yards

area in ft^2 is required.

1 square yard = 9 square foot

25.4 square yards = 25.4 x 9 = 228.6 square foot

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