Question

Rank the following five quantities in order from the largest to the smallest. If two of the quantities are equal, give them equal rank in your list. (a) 0.031 kg (b) 6 g (c) 1.5 105 mg (d) 4.6 10-8 Gg (e) 1.5 108 µg

Answer 1

Step-by-step explanation:

In this case, we need to rank the following quantities in order from the largest to the smallest. The quantities are as follows :

(a) 0.031 kg (b) 6 g (c) 1.5 105 mg (d) 4.6 10-8 Gg (e) 1.5 108 µg

Firstly, it is required to convert all the units in one single unit so as to rank the given quantities. Let's convert all the quantities in grams (g).

(a) 0.031 kg = 31 g

(b) 6 g

(c)
`1.5* 10^5\ mg=150\ g`

(d)
`4.6* 10^(-8)\ Gg`

`1\ Gg=10^9\ grams`

`4.6* 10^(-8)\ Gg=46\ grams`

(e)
`1.5* 10^8\ \mu g`

`1\ \mu g=10^(-6)\ grams`

`1.5* 10^8\ \mu g=150\ g`

So, the correct ranking is
`150\ g=150\ g\ge 46\ g\ge 31\ g\ge 6\ g\ge`. Hence, this is the required solution.