Calculate the following numbers into scientific notation (include units)'

1) 7800 nm + 95 pm =
(would it be 7.8x10^7pm) ?

2) (65x10 4m) x (4.5x10-6s-1) =

(the 4 is meant to be a little 4 and the -6 and -1 are meant to be small)

1) 7800 nm + 95 pm = 7.800*10^-9 m + 9.5*10^-11 m = 7.8095*10^-9 m

This should be "rounded off" to 7.810*10^-9 m based upon the number of significant figures in the 7800 nm figure, which I assume to be 4.

2) (65x10 4m) x (4.5x10-6s-1) = 2.925 m/s
This should be rounded off to 2.93 m/s

To calculate the given numbers into scientific notation, we need to convert them into a number between 1 and 10 multiplied by a power of 10, while also including the appropriate units.

1) To add the quantities with different units, we first need to convert them to the same unit.
- Convert 7800 nm to pm (picometers):
Since 1 nm = 1000 pm, we have:
7800 nm = 7800 nm * (1000 pm / 1 nm) = 7800000 pm

- Now we can add the quantities:
7800000 pm + 95 pm = 7800095 pm

The result is 7.8 x 10^6 pm. (Note: It is 10^6, not 10^7)

2) To multiply these quantities, we can directly multiply the coefficients and add the exponents of 10. Let's follow the steps:
(65 x 10^4 m) x (4.5 x 10^-6 s^-1)

- Multiply the coefficients:
65 x 4.5 = 292.5

- Multiply the exponents of 10:
10^4 x 10^-6 = 10^(-6+4) = 10^-2

The result is 292.5 x 10^-2. (Note: The units remain the same as meters per second)