Question

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

Answer 1

Step-by-step explanation:

$a^{-n}=\dfrac{1}{a^n}\\\\\text{therefore}\ 10^{-5}=\dfrac{1}{10^5}=\dfrac{1}{100000}=0.00001\\\\1.23\cdot10^{-5}=1.23\cdot0.00001=0.0000123$

$a\cdot10^{-n}$ - move the decimal point n place to the left

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

Examples:

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