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

$3, 500$ $3,500$ grams

$1 kilogram = 1, 000$ $1 " kilogram" = 1,000$ 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.

$1 kilogram = 1, 000$ $1 " kilogram" = 1,000$ g

$3.5 k g = 3.5 \times 1000$ $3.5kg = 3.5 xx 1000$

= $3, 500$ $3,500$ grams

Answer 2 · 2016-11-20T17:51:26

$3.5 kilogram = 3500 grams$ $3.5" kilogram "=" "3500" grams"$

$Preamble$ $color(blue)("Preamble")$

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.

$2 = 2$ $2=2$ is true $\to 2 + 5 = 2 + 5$ $" "-> 2+5 = 2+5$ is also true
$2 = 1$ $2=1$ is false

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

Known:

$1 kilogram = 1000 grams$ $1" kilogram "=" "1000" grams"$

But we have 3.5 kilograms

Multiply both sides by 3.5

$3.5 \times 1 kilogram = 3.5 \times 1000 grams$ $3.5xx1" kilogram "=" "3.5xx1000" grams"$

$3.5 kilogram = 3500 grams$ $3.5" kilogram "=" "3500" grams"$