Question

Calculate the quotient below and give your answer in scientific notation.
2.64*10^-3\8.0*10^0

Answer 1

The quotient of:
`(2.64\cdot 10^(-3))/(8.0\cdot 10^0)` is:
`\mathbf{3.3* 10^(-4)}`

Explanation:

We need to find quotient of:
`(2.64\cdot 10^(-3))/(8.0\cdot 10^0)`

We know that
`10^0=1`

Now solving:

`(2.64\cdot 10^(-3))/(8.0\cdot 10^0)\\=(2.64\cdot 10^(-3))/(8.0)\\=(0.00264)/(8)\\=0.00033`

Writing it in scientific notation

`0.00033\\=3.3*10^(-4)`

So, the quotient of:
`(2.64\cdot 10^(-3))/(8.0\cdot 10^0)` is:
`\mathbf{3.3* 10^(-4)}`