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

Question

Emery Allen · Accepted Answer

#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

Emery Allen · Answer

#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

,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #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" #

Levi Adams · Answer

undefined To convert kilograms to grams, you multiply the number of kilograms by 1000 because there are 1000 grams in 1 kilogram.

So, for a moon rock with a mass of 3.5 kilograms, the mass in grams is $ 3.5 \times 1000 = 3500 $ grams. Therefore, the mass of the moon rock is 3500 grams.