The mass of a moon rock is 3.5 kilograms. What is the mass of the moon rock in grams?

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Answer 1 · 2016-11-20T17:46:21

#3,500 # grams

#1 " kilogram" = 1,000#g

If you use a smaller unit, your answer is bigger.
If you use a bigger unit, your answer is smaller.

To change from Kg to g you need to multiply by 1,000.

#1 " kilogram" = 1,000#g

#3.5kg = 3.5 xx 1000#

=#3,500 # grams

Answer 2 · 2016-11-20T17:51:26

#3.5" kilogram "=" "3500" grams" #

#color(blue)("Preamble")#

When you have an equation the actual value to the left of = must be the same as the actual value to the right of =.

So if you change the left in some way you must also do something to the right so that the equation is still true. Otherwise it becomes false.

#2=2# is true#" "-> 2+5 = 2+5# is also true
#2=1# is false

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#color(blue)("Answering the question")#

Known:

#1" kilogram "=" "1000" grams" #

But we have 3.5 kilograms

Multiply both sides by 3.5

#3.5xx1" kilogram "=" "3.5xx1000" grams" #

#3.5" kilogram "=" "3500" grams" #