1. Intro to Physics Units

Perform the following calculations with the correct number of significant figures.

159.31 x 204.6

Perform the following calculations with the correct number of significant figures.

5.1125 + 0.67 + 3.2

Multiply 4.079 x 10² m by 0.057 x 10^-1 m, taking into account significant figures.

For small angles θ, the numerical value of sin θ is approximately the same as the numerical value of tan θ. Find the largest angle for which sine and tangent agree to within two significant figures.

An average family of four uses roughly 1200 L (about 300 gallons) of water per day (1L = 1000 cm³). How much depth would a lake lose per year if it covered an area of 60 km² with uniform depth and supplied a local town with a population of 40,000 people? Consider only population uses, and neglect evaporation, rain, creeks and rivers.

A 5.4 cm diameter cylinder has a length of 12.5 cm. What is the cylinder's volume in basic SI units?

Perform the following calculations with the correct number of significant figures.

7.662 - 7.425

With a wooden ruler, you measure the length of a rectangular piece of sheet metal to be 12 mm. With micrometer calipers, you measure the width of the rectangle to be 5.98 mm. Use the correct number of significant figures: What is the area of the rectangle?

Perform the following calculations with the correct number of significant figures.

16.5/3.45

What is the area of a sidewalk that is 2.293 m wide and 90 m long? Write your answer with the correct number of significant figures.

Compute the following numbers, applying the significant figure rules adopted in this textbook.

$\sqrt{33.3}$