Question

Write these in standard form :

8.23 x 10^6
2.4 x 10^5

Write these in scientific form :

450,000
320
0.000000673
32100000

Answer 1

`8.23\cdot10^6=8.23\cdot1,000,000=8,230,000\\\\2.4\cdot10^5=2.4\cdot100,000=240,000`

`\text{The scientific notation:}\ a\cdot10^n\ (1\leq a < 10,\ n\in\mathbb{Z})\\\\4\underbrace{50000}_(\leftarrow5)=4.5\cdot10^5\\\\320=3.2\cdot100=3.2\cdot10^2\\\\0.\underbrace{0000006}_(7\rightarrow)73=6.73\cdot10^(-7)\\\\3\underbrace{2100000}_(\leftarrow7)=3.12\cdot10^7`