Question

A typical coffee mug holds about 355,000 microliters of liquid. How many kiloliters of liquid does this mug hold expressed in standard Scientific notation?

Answer 1

`3.55* 10^(-4)\ kL`

Step-by-step explanation:

Given that,

A typical coffee mug holds about 355,000 microliters of liquid.

`1\ \mu L=10^(-6)\ L`

Also, 1 L = 0.001 kL

`10^(-6)\ L=0.001* 10^(-6)\ kL\\\\=10^(-9)\ kL`

So, a typical coffee mug holds about
`355000 * 10^(-9)\ kL` or
`0.000355\ kL` of liquid.

We need to convert it into Scientific notation.

We will shift 4 zeros to right. As a result,

`V=3.55* 10^(-4)\ kL`

So, the mug will hold
`3.55* 10^(-4)\ kL` of liquid.