Significant Powers

Significant Digits

Very sensitive with higher powers

Scale Matters

Estimating Power of 10

5234 raised to 7th power, 5E3 to 7, 5 to 7 E21 5 cubed is about 100 so maybe E5 so E26.

Powers of 2

maybe using powers of 2 such as 5^7 = 10^7/ 2^7 and 2^7 is 128 so about 100 so 10^5 is an overestimate and 10^4 is underestimate but closer to 10^5.

Units

Units are denoted with powers.

Comparing feet to inches at different powers

Number Sense as Superpower

The ability to estimate the right power of 10 gives a great sense of appropriate numbers in a context

Counting Addition Multiplication Subtraction Division Powers Constructing Numbers