Question

Express 5 kg and 8 g in decimals as kg.

Answer 1

Hint:Here in this question, we have to express the given weight in only unit i.e., kg using a decimals, this question belongs to conversion topic that is we have to convert the unit from one form to other here we have to convert the unit gram ‘g’ to the unit kilogram ‘kg’. First, we have to know that 1 kg is equal to 1000 g or \[1g = \dfrac{1}{{1000}}kg\] by using this hint and by using a decimal simplification we get the required solution.

Complete step by step answer:
The kilogram (kg) and gram (g) are the units to measure the weight quantities. Weight is the measurement of the amount or quantity of heaviness or mass of any thing. To measure weight, a unit of measurement is used. There are two different systems for measuring: customary and metric. This concept is about Customary Units of measurement.

The most common customary units of measurement are the kilogram and gram. Consider the given data in question:
5 kg and 8 g.
As we know,
1 kilogram = 1 kg
1 gram = 1 g
But
1 kilogram = 1000 gram
\[ \Rightarrow \,\,\,1\,kg = 1000\,g\,\]
Given,
\[ \Rightarrow \,\,\,5\,kg\] and \[8g\]
\[ \Rightarrow \,\,\,5\,\left( {1000} \right) + 8\]
\[ \Rightarrow \,\,\,5000 + 8\]
\[ \Rightarrow \,\,\,5008\,g\]
Let
$1000 g = 1 kg \\
\Rightarrow 5008 g = x\, kg$
On cross multiplication, we have
\[ \Rightarrow \,\,\,x = \dfrac{{5008}}{{1000}}\]
\[\therefore \,\,\,\,x = 5.08\,kg\]

Hence, 5 kg and 8 g is equal to 5.08 kg.

Note:We have different units for solid quantity, liquid quantity and gaseous quantity.Every quantity has a measurement unit from the low quantity to the high quantity. While converting the unit of a quantity from one form to another form we have standard value by multiplying or dividing that value we can convert the unit of the quantity.