Question

Match each number in scientific notation with the number written in standard form and in a step by step process.

Answer 1

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) $6.82\times 10^7$

Remove decimal and open the power,

$6.82\times 10^7=\frac{682}{100}\times 10000000$

$6.82\times 10^7=68200000$

Therefore, $6.82\times 10^7=68,200,000$

Match with Option 3.

2) $6.82\times 10^{-6}$

Remove decimal and open the power,

$6.82\times 10^{-6}=\frac{682}{100}\times \frac{1}{1000000}$

$6.82\times 10^{-6}=\frac{682}{100000000}$

Therefore, $6.82\times 10^{-6}=0.00000682$

Match with Option 1.

3) $6.82\times 10^6$

Remove decimal and open the power,

$6.82\times 10^6=\frac{682}{100}\times 1000000$

$6.82\times 10^6=6820000$

Therefore, $6.82\times 10^6=6,820,000$

Match with Option 2.