Question

Using a very precise measuring device, Dr. Calvin measured the thickness of a piece of metal to be 0.00064 of a meter. Dr. Amos measured another piece to be 2.5 × 10-5 of a meter thick. If the doctors put the two pieces of metal on top of each other, the new piece of metal would be × 10-4 of a meter thick.

Answer 1

`6.65* 10^(-4)` of a meter in scientific notation.

0.000665 meter in standard notation.

Step by step explanation:

We have been given that Dr. Calvin measured the thickness of a piece of metal to be 0.00064 of a meter. Dr. Amos measured another piece to be
`2.5* 10^(-5)` of a meter thick.

We can see that Dr. Amos has given measurements in scientific notation. Let us convert thickness measured by Dr. Amos from scientific notation to standard notation.

`2.5* 10^(-5)=0.000025`

Now let us add both measurements to find the thickness of new metal piece.

`\text{Thickness of new metal piece}=0.000025+0.00064`

`\text{Thickness of new metal piece}=0.000665`

Now let us convert thickness of new piece of metal in scientific notation.

`\text{Thickness of new metal piece}=0.000665=6.65* 10^(-4)`

Therefore, the thickness of new piece of metal will be
`6.65* 10^(-4)` of a meter or 0.000665 meter.