PHYS 2021 Lecture 2: Powers of Ten (Jan 16, 2019)
24 Jan 2019
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Lecture two: powers of ten, scientific notation and significant figures. Video: power of ten (1997) [ eames office] Powers of ten: they will often have prefixes or symbols representing powers. M k c m n: 1kg = 1000g = 103g, 10-3kg = 1g, 1000m = 1km, 10-2m = 1cm, consider a square which is one centimeter on each side. Express the area in cm2 : area = 1m x 1m = 100cm x 100cm = 10,000 cm2. 1 m: 1m2 = 104m2, consider a cube which is 10cm on each side . = 1l = 10cm x 10cm x 10cm. 10 m x 10m x 10m = 1 m3 = 10-3m3. 100 100 100 1000: with this, we can now say that 1000l = 1m3, note: 1 gallon = 3. 785l. Example: the radius of the earth: r = 6. 37 x 106m. Examples of conversions to scientific notation: 0. 00237 = 2. 37 x 10-3, 408. 2 = 4. 082 x 102.
