Question

Convert \[87g\] and \[28mg\] to kg.

Answer 1

Hint: we have two sub questions here first we need to convert 87g to kg we can do that by multiplying it with the value of 1gram in terms of kg and next we need to convert 28 mg to kg we can do it first by converting mg in terms of gram and then we can convert it to kg.

Complete step by step answer:
First let us convert \[87g\] to kg
Since \[1kg = 1000g\]
 \[ \Rightarrow 1g = \dfrac{1}{{1000}}kg\]
Now, figure out if we are converting from a smaller unit to a larger or a larger unit to a smaller unit. You are converting grams to kilograms, which is a smaller unit to a larger unit. So, we have to divide it by 1000 or multiply it with \[\dfrac{1}{{1000}}\] as shown below
 \[87g = 87 \times \dfrac{1}{{1000}}kg = 0.087kg\]
 \[\therefore 87g = 0.087kg\]
Now, let us convert \[28mg\] to kg
To convert it we First convert mg to gram we get
 \[ \Rightarrow 1mg = \dfrac{1}{{1000}}g\]
 \[28mg = 28 \times \dfrac{1}{{1000}}g = 0.028g\]
Now we can convert gram to kg as we done above
 \[0.028g = 0.028 \times \dfrac{1}{{1000}}kg = 0.000028kg\]
 \[\therefore 28mg = 0.000028kg\]

Note: The most commonly used units of mass are kilogram, gram, and milligram. Of the three units, the kilogram is the largest and the milligram is the smallest. The prefix “kilo” means a thousand and “milli” means one-thousandths. A gram is the basic unit of mass. You can use equivalent units of mass to convert different units to the same unit for comparison.
Note that to convert a larger unit to a smaller unit, multiply by a power of ten to move the decimal to the right. Also note that to convert a smaller unit to a larger unit, divide by a power of ten to move the decimal to the left as per the requirement.