Estimation

1. Rough sizes of things/numbers

One good trick is to have in your imagination some examples of differently numbered things.
For example, can you think of something familiar that has 100 things? 1000 things? 10,000 things?

Rather than continuing to add zeros here, we might use "scientific notation", which just displays the "number of zeros" in a quantity.
This is especially useful for huge numbers, like the number of atoms in a grain of sand.
This could be written
80 000 000 000 000 000 000,
but is perhaps more readable as
8x10^19,
that is, 8 with 19 zeros after it.
These zeros represent "orders of magnitude".

What about units?
What are good units for measuring things in?
Some things formally make sense as whole numbers (or `real' numbers).
Some are measured in funny units (grams, megatons, Sieverts, dollars,...)




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