Question

Convert the scientific notation into a standard form number,
1.23 x 10-5

Answer 1

Explanation:

`a^(-n)=(1)/(a^n)\\\\\text{therefore}\ 10^(-5)=(1)/(10^5)=(1)/(100000)=0.00001\\\\1.23\cdot10^(-5)=1.23\cdot0.00001=0.0000123`

`a\cdot10^(-n)` - move the decimal point n place to the left

`a\cdot10^n` - move the decimal point n place to the right

Examples:

`1.2\cdot10^5=1\underbrace{20000}_(5\to)=120,000\\\\1.2\cdot10^(-5)=0\underbrace{.00001}_(\leftarrow5)2=0.000012`