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What is standard form standard forms a method that scientists use to write very large or very small numbers instead of using lots of zeros they write numbers in terms of power 10 for example the diameter of Venus would normally write as 12 million 100000 meters scientists would write that as 1 point to 1 times 10 to the 7 meters this means it's the number 1 point 2 1 multiplied by 10 a total of 7 times that's 12 1 times 10 times 10 times 10 times 10 so the speed of light we'd normally whites approximately 300 million meters a second scientists would write that as 3 times 10 to the power 8 meaning it's 3 times 10 times 10 times 10 a total of 8 times using the standard form method is very easy to see the speed of light is actually bigger than diameter of Venus that's because the power of 10 is bigger for the speed of light than the power of 10 for Venus numbers in standard form are written in two parts the first part is a number between 1 and 10 I'll call it a notice that the number could be equal to 1, but it must be less than 10 the second part is a times 10 to a power of n where n can be any integer look at let's look at some examples that's why these numbers in standard form so this number here I'm first part is a number between 1 and 10, so there's, and it's got to be seven point three five and then times 10 to a power times 10 to the power of well we've got to go and see how many times you're multiplying by 10 now every time you multiply the top by 10 now every time we multiply by 10 the decimal place moves so if we go and consider we've now got seven point three five the decimal place used to be at the end here we've moved the decimal place 1 2 3 4 5 6 7 8 9 10 11 12 13 places, so it's actually seven point three five times 10 to the 13 if we take the second number as a standard form representation it's going to be written as a whole number between 1 and 10, so that's got to be six point five four and the power of 10 times 10 to thee let's have a look we've moved our decimal place from there 1 2 3 4 5 6 7 8 places, so it's times 10 to the 8 next we've got this 20 billion 300000 the first part number between 1 and 10 must be 2 point zero 3 the second part is time to tend to the best place to move 1 2 3 4 5 6 7 8 9 10 places, so it's 10 to the 10 and our last number the number part must be three point nine eight around it, so it's only three figures and then times ten to the decimal place has moved one two three four five six seven eight nine ten eleven twelve total of twelve, so it's ten to the twelve we can apply a similar method to writing very small numbers in standard form, so I forgot these examples here these numbers are all at less than 1 this number here starts off the same, so it must be a whole number between 1 and 10, so it must be 32 7 times 10 to a power of now in fact it's not times 10 because this number is significantly smaller it's actually divided by 10 to signify it's divided by 10 we still keep the times 10 bites, but we...
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