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In this video we're going to talk about standard form our standard form is one way of writing very big numbers of very, very small numbers its just a way of writing our writing very big numbers or very small numbers so the way to do well it takes this form here where an is a number, so it could be lets say seven point three two and then times 10 to the power of something so here it could be 10 to the power 7, or you could have a 2.37 times 10 to the power minus 12 12 if you want to so this end here it can be a positive number, or it can be a negative number, but it has to be a whole number it cannot be 6.3 you can't write 10 to the power 6.7 it has to be a whole number, but it can be a negative or a positive whole number and this number here a number here a well a has to be it can be here one or larger than one um, but it has to be less than 10, so you can't write let's say 12 our times 10 to the power of or six say because this number here has to be what it can be one, and it can be one point 0 2 or whatever, but it has to be it has to be one or above, but it has to be less than 10 this 12 is not valid because it's bigger than 10 it can't be a 10-point are too okay because well this is bigger than 10, so it has to be less that this is important it has to be less than ten armed, but it can be one your laptop one, so it can be one or above okay let me give you some examples if you look at the if you look our solar system ah this is Earth here are Pluto's here I know Pluto's not a planet but let's just say the distance from here too here is that is given by this here okay in meters so rather than having to write on r60 000 well, well this is your combo by the way up it just helps us to identify these so thousands here a million here a billion here, and I don't know you've got to look on internet okay um well anyway rather than writing this huge number here we can use standard form, so you can just write six times ten to the power of town wait there so start here just despair with me on this one two three four five six seven eight nine ten eleven twelve so rather than writing this long number here I can just write six times ten to the power of 12 okay, so this number here is the same as this number here okay or if you look at a bacterium let's say if I don't know what bacteria look like so let's let's just say I so a bacterium ah, but bacterium is one fact you have one bacterium but then if you have more than one the plural bacterium is bacteria so let's say you have a bacterium here I don't know what a bacterium like maybe some eyes here a nose here, and I don't know let's give you some fangs okay I don't know what I bacterium looks like so what when you're studying biology in school could try to concentrate a nun and try and get idea what are bacteria a bacterium looks like okay let's say the distance from here to here is I don't know naught point naught naught naught 2 meters okay meters um so here I'm rather than writing this number here we can...
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