Respuesta :
Answer: [tex]d) 2.0*10^2[/tex]kilo gram
Step-by-step explanation:
To know the greatest mass we have to convert all these measurements to the same unit, the gram. For that we have to state the next units:
[tex]mili = 10^-^3\\micro = 10^-^6\\pico = 10^-^1^2\\kilo= 10^3[/tex]
Now we can convert the measurements to the same unit:
[tex]b)5.0*10^1^2*10^-^1^2gram=5.0gram\\d)2.0*10^2*10^3gram=2.0*10^5gram\\c)9.0*10^9*10^-^6gram=9.0*10^3gram\\a)2.0*10^6*10^-^3gram=2.0*10^3gram[/tex]
Comparating the values, we can see that the option d) is the greatest mass.
Answer:
The greatest mass among the following measurements is:
[tex]2*10^{2}kg = 200kg[/tex]
Step-by-step explanation:
I am going to convert each one of these measurements to kilogram, then the biggest value in kg is the greatest mass.
a) [tex]2*10^{6}mg[/tex]
Each kg has [tex]10^{6} kg[/tex].
So
1 kg - [tex]10^{6} kg[/tex]
x kg - [tex]2*10^{6}mg[/tex]
x = 2.
So
[tex]2*10^{6}mg = 2kg[/tex]
b)[tex]5*10^{12}pg[/tex]
Each kg has [tex]10^{15}pg[/tex].
So
1 kg - [tex]10^{15}pg[/tex]
x kg - [tex]5*10^{12}pg[/tex]
[tex]x = 5*10^{-3}kg[/tex]
This is a smaller mass than a)
c) [tex]9.0*10^{9} mcg[/tex]
Each kg has [tex]10^{9}mcg[/tex].
So
1 kg - [tex]10^{9}mcg[/tex]
x kg - [tex]9*10^{9} mcg[/tex]
x = 9kg.
[tex]9.0*10^{9} mcg = 9kg[/tex]
For now, this is the greatest mass.
d) [tex]2*10^{2}kg = 200kg[/tex]
This is the greatest mass.
