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Powers and scientific notation
Units and conversion
Measurement
Significant figures in arithmetic
Calculating area, volume and density
100
Identify the base and exponent: 10^-5
Base: 10; Exponent: -5
100
What do the prefixes p and k correspond to?
p: 10^-12; k: 10^3
100
Define measurement
Comparing a quantity we want to measure with a standard quantity.
100
How many significant figures are in the following? 13.36 cm
4
100
Identify the formula for the area of a circle
A = pi r^2 = pi (d^2)/4
200
Write the following in scientific notation: 0.00000045 m
4.5 x 10^-7 m
200
What are the standard units for mass, length and time?
kg, m, s
200
How do we determine the smallest graduation of a ruler or measuring cylinder?
Take the difference of two consecutive numbers and divide this difference by the number of spaces between the two consecutive numbers.
200
How many significant figures are in the following? 12 oranges
infinite (this is an exact number because it is countable)
200
What is the formula for density?
D = M/V
300
Answer the following in scientific notation: 10500 - 450
1.005 x 10^4
300
Convert 0.21 cm to nm
2.1 x 10^6 nm
300
What are the 3 rules for measuring volume in a measuring cylinder?
1. Cylinder must be vertical and sit on a flat surface; 2. Eyes should be on the same level as the liquid; 3. Measure from the bottom of the meniscus (curved surface)
300
If you were to do the following calculation, how many significant figures should be in your answer? 135.67 cm x 14.1 cm
3 significant figures
300
What is the formula for the volume of a sphere?
V = 4/3 pi r^3
400
Answer the following in scientific notation: (0.000144)^(1/2)
1.2 x 10^-2
400
Convert 3.56 x 10^-3 m^3 to cm^3
3.56 x 10^3 cm^3
400
The volume of a liquid was found to be 14.27 cm^3. How many significant figures? Identify the sure and estimated digits. What is the smallest graduation.
Significant figures: 4; Sure digits: 1, 4, 2; Estimated digits: 7; Smallest graduation: 0.1 cm or 1 mm
400
34.8 cm - 5.9 cm
28.9 cm
400
Find the area of a triangle with base 11.50 cm and height 6.8 cm to the correct number of significant figures.
39.1 cm^2
500
Answer the following in scientific notation: 0.28 x 10^4 x 2.2 x 10^-2
6.16 x 10
500
Convert 72 km/h to m/s
20 m/s
500
Explain two ways of finding the volume of an irregularly shaped object.
1. Fill a Eureka can with water, put the watch in and collect the displaced water in a measuring cylinder. Take the reading this is the volume of the watch; 2. Half fill a large measuring cylinder with water, take the volume reading, immerse slowly and completely the watch in, take the new volume reading, the difference between volume readings is the watch volume.
500
4152.1 cm + 22.27 cm
4174.4 cm
500
Find the volume of a rectangular block with dimensions 4.0 cm, 10.0 cm, and 3.0 cm.
1.2 x 10^2 cm^3