Question

explain how the exponent of 10 changes when you multiply a number written in scientific notation by 100. show an example.

Answer 1

so just say we had
1*10^2 = 1*(10)(10) = 100
if we increase the exponent by 1 we get
1*10^3 = 1*(10)(10)(10) = 1000
if we decrease the exponent by 5 we get
\[1*10^{-2}= \frac{1}{10*10} = \frac{1}{100} = 0.01\]
if we decrease by 1 more we get
\[1*10^{-3}= \frac{1}{10*10*10} = \frac{1}{1000} = 0.001\]

yeah I hope this helps

Answer 2

so if we had

(1.0*10^2)*100 = 1.0*(10)(10)(100) = 10000.0 = 1.0 * 10^4