Question

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

6.82 x 10^7 0.00000682

6.82 x 10^-6 6,820,000

6.82 x 10^6 68,200,000

Answer 1

1) Option 3

2) Option 1

3) Option 2

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* 10^7`

Remove decimal and open the power,

`6.82* 10^7=(682)/(100)* 10000000`

`6.82* 10^7=68200000`

Therefore,
`6.82* 10^7=68,200,000`

Match with Option 3.

2)
`6.82* 10^(-6)`

Remove decimal and open the power,

`6.82* 10^(-6)=(682)/(100)* (1)/(1000000)`

`6.82* 10^(-6)=(682)/(100000000)`

Therefore,
`6.82* 10^(-6)=0.00000682`

Match with Option 1.

3)
`6.82* 10^6`

Remove decimal and open the power,

`6.82* 10^6=(682)/(100)* 1000000`

`6.82* 10^6=6820000`

Therefore,
`6.82* 10^6=6,820,000`

Match with Option 2.