Unit conversions with Squares and Cubes

Two main topics were discussed and learned from today's lesson. A new calculator function and unitary conversion withs squares and cubes.

A) The EXP/10^x function. We were shown a simple way to calculate with scientific notation using our calculators. By entering the non notational value and then using this function followed by entering the desired power of 10, we can calculate more easily and more precisely.

B) Since 1000m = 1km, 1,000,000m² = 1km²
This is because 1km² means 1000m * 1000m

Same goes for volume.
Since 1000m = 1km, 10⁹m³ = 1km³
(1000m * 1000m * 1000m) or (10³ * 10³ * 10³)

Example with Cubes:

Convert 8.1cm³ to m³

1m³ = 10²cm * 10²cm * 10²cm = 10⁶cm³

Since we are converting from a smaller unit to a larger one, it must be a negative power of 10

8.1 * 10^-6 m² or 0.0000081

Example with Squares:

Convert 4.3dm² to Gm²

1m² = 10dm * 10dm = 10²dm²

4.3 * 10^-2

1Gm² = 10⁹m * 10⁹m = 10¹⁸m²

4.3* 10^-2 * 10^-18 = 4.3 * 10^-20