Answer:
1) Option 3
2) Option 1
3) Option 2
Step-by-step explanation:
To find : Match each number in scientific notation with the number written in standard form and in a step by step process.
Solution :
From scientific to standard we expand the power of 10.
1) [tex]6.82\times 10^7[/tex]
Remove decimal and open the power,
[tex]6.82\times 10^7=\frac{682}{100}\times 10000000[/tex]
[tex]6.82\times 10^7=68200000[/tex]
Therefore, [tex]6.82\times 10^7=68,200,000[/tex]
Match with Option 3.
2) [tex]6.82\times 10^{-6}[/tex]
Remove decimal and open the power,
[tex]6.82\times 10^{-6}=\frac{682}{100}\times \frac{1}{1000000}[/tex]
[tex]6.82\times 10^{-6}=\frac{682}{100000000}[/tex]
Therefore, [tex]6.82\times 10^{-6}=0.00000682[/tex]
Match with Option 1.
3) [tex]6.82\times 10^6[/tex]
Remove decimal and open the power,
[tex]6.82\times 10^6=\frac{682}{100}\times 1000000[/tex]
[tex]6.82\times 10^6=6820000[/tex]
Therefore, [tex]6.82\times 10^6=6,820,000[/tex]
Match with Option 2.
