Question

Answer these In scientific notation with work shown, adding scientific notation.

9.9 x 10^-1 + 5.2 x 10^-2

3.24 x 10^5 + 8.3 x 10^1

1.24 x 10^0 + 5 x 10^-1

Answer 1

1.
`9.9 * 10^(-1)   + 5.2 * 10^(-2) = 104.2 * 10^(-2)`

2.
`3.24 * 10^(5)   + 8.3 * 10^(1) =32408.3 * 10^(1)`

3.
`1.24 * 10^(0)   + 5 * 10^(-1) = 13.64 * 10^(-1)`

Explanation:

1)
`9.9 * 10^(-1)   + 5.2 * 10^(-2)`

Now,
`9.9 * 10^(-1)` =
`99 * 10^(-2)`

So,
`99 * 10^(-2)   + 5.2 * 10^(-2)` =
`104.2 * 10^(-2)`

2.
`3.24 * 10^(5)   + 8.3 * 10^(1)`

Now,
`3.24 * 10^(5)` =
`32400 * 10^(1)`

So,
`32400 * 10^(1) + 8.3 * 10^(1)` =
`32408.3 * 10^(1)`

3.
`1.24 * 10^(0)   + 5 * 10^(-1)`

Now,
`1.24 * 10^(0)` =
`12.4 * 10^(1-)`

So,
`1.24 * 10^(0)  + 12.4 * 10^(1-)` =
`13.64 * 10^(-1)`