Week 5 – Math 10 | Gloria's Blog

This week I learnt a simple way to convert squared and cubed units. I had trouble converting $0.37 km^3$ to $m^3$ , until I used this strategy:

$1 km = 1000 m$ , or $10^3m$

$0.37\cdot 10^3 = 370000000$

Written in scientific notation: $3.7\cdot 10^8$

The same works for any exponent, all you need to know is the relationship between the two units:

$60 yds^2$ to $in^2$

$1 yd = 36 in$

$60\cdot 36^2 = 77760$

Written in scientific notation and rounded: $7.78\cdot 10^4$

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