Question

A hardware salesman measures the mass of a box containing

1000
washers. The mass is
0.4168
kg
. What is the mass of a single washer in milligrams? Write your answer as a decimal.

Answer 1

In this question, the box with 1000 washers has 0.4168kg mass. Then, to find the mass of a single washer you need to divide the mass with the number of washers. Then, you need to convert the unit into milligrams(1kg= 10^6mg)
It would be 0.4168 kg / 1000 * 10^6 milligram/kg= 4168mg.

Answer 2

Step
`1`

find the mass of a single washer

Divide the total mass by the number of washers

`(0.4168)/(1000) =0.0004168\ Kg`

`0.0004168kg=4.168*10^(-4) kg`

Step
`2`

Convert kg to mg

we know that

`1 kg=1*10^(6) mg`

so

`4.168*10^(-4)*10^(6) =4.168*10^(2)mg=416.8 mg`

therefore

the answer is

`416.8 mg`