Answer: I want to tell you about my favorite number. The number 1.
This is the only number I’m currently aware of that allows you to directly translate words in to numbers, and do so effortlessly. I’ll give you an example.
What is 10 divided by 10? It equals 1 right?
This is written 10/10 = 1. Well it works with anything. I’m not kidding. 12345/12345 = 1. Cats/Cats = 1. You/You = 1.
So what does this have to do with your question? See those little letters next to those numbers you gave? the L in 2.00 L? The g and the ml in 1.15 g/ml? Those letters represent Liters (a volume), Grams (the mass of something) and Milliliters (Volume again).. When you know this, even you can transmute those letters away.
Are you with me? This is called “cancelling out”. We say “The liters cancel out”. They canceled out because Liters divided by Liters = 1.
Now you have a density it say 1.15 g/ml right? Look at it. Notice how the ml is on the bottom? If we have a ml on the top it will cancel out, and you have 2000 ml to multiply it by so:
Explanation:
For example: 2.00 Liters is a volume. It fills space, as it happens ml (Mililiters) is also a volume. How many Milliliters are in a liter? Well there are 1000 ml / L. So if you multiply 2 L x 1000 ml / L you will get some contortionist idea that says 2000 (L x ml)/L.
Now remember what I said above? You have L/L what does that equal? My favorite Number!! and what is anything multiplied by 1 the same thing. You can litterally just get rid of things that are the same as long as they equal 1 and it will not change your equation.
2000 (L x ml)/L = 2000 ml x L/L = 2000 ml x 1 = 2000 ml.
Are you with me? This is called “cancelling out”. We say “The liters cancel out”. They canceled out because Liters divided by Liters = 1.
Now you have a density it say 1.15 g/ml right? Look at it. Notice how the ml is on the bottom? If we have a ml on the top it will cancel out, and you have 2000 ml to multiply it by so:
1.15 g / ml x 2000 ml (so multiply the numbers then put the units together) 1.15 g/ml x 2000 ml = 2300 (g x ml)/ml = 2300 g x ml/ml = 2300 g x 1 = 2300 g.
Did you see it? Do you see how cool the number 1 is?
I hope you do, because now you can do your own homework.
