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LT-10D: scientific notation and standard form

Added May 19, 2017 • Share this video

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everyone my name is Aaron and today I'm going to be showing you learning Target 10 D which is scientific notation  scientific notation stride very small and very large numbers and number is written in scientific notation when they shown using it product for factor in a power of 10 this Factor must be greater when are equal to 1 but misplaced and tame an example of this would be 1.5 x 10 to the 12th power  the standard pharmacist would be 1.5 trillion will learn how to convert something in scientific notation into standard form and something in standard form into scientific notation a little bit later on  okay now let's see some examples to show how to convert from standard form to scientific notation before we get started with her examples we're going to win memorize one equation this equation is a x 10 to the B power hey over here it's going to be our product with factor and be is going to be our exponent to get these two numbers let's look at us are our first example 15 million chicken fritta number scientific notation you have to repeatedly / tan until you have a number that is greater than or equal to one and they sent him  for each that you divide add one to the exponent  here is our decibel and we're going to want to divide  by dividing are decimals move to the left we're going to divide 1 to 3  for 5 7 times  this will leave us with 1.5 which is our product for factor and the number of times we divided by 10 which is 7 1.5 is going to go in the a position because that is where the product of a factor goes so it's going to be 1.5 x 10  and then save it's going to become our exponent to the 7th power but what if we have a an example 0.0004  in this case we can no longer divided by 10 because in dividing by 10 and a small is going to this time we wanted to move to the rights  by moving to the right we're going to subtract from  the Expo we're going to move this day small or ties by Chain one two three four times this is going to leave us with a future exponent of negative 4  it's also going to leave us with our what's the factor for  let's write down our equation a x 10 to the B power and let's plug them in Nikita for goes to the exponent  x 10 to the negative 4  x sis are exponent in this is negative because we time get this number by team  and in times and we have to subtract from our exponent  in this we divided by 10 which means that we are adding TracFone  now let's use some examples to show how to convert scientific notation to standard form what if we want to take a number in scientific notation like 2 x 10 to the 10th power and write it in standard form to do this we would simply take number and move hardly smell Place team to the right or in other words take to and zeros  one two three four five six seven eight nine 10 this is the standard form version of 2 x 10 to the but what if we want to take a number that has a negative exponent instead of positive exponent to do this we would have to move the decimal place to the left instead of the right like we would if we had a so it would say too and we would add one two three four five six seven eight nine is Heroes to it  in other words we could have just moved the additional place to hang to the left instead of to the right finally let's look at our last example 8.8 + 18 this number is the type of number that would shown on a calculator when a problem is being solved and we get a very small or big answer  this simply means 8 times 10 to the 18th power we know that this equals 8 x 10 to the 18th power because when we get in it has an e in it we know that it means that the number is X team to some exponent the exponent shown after the as a teen  the pause find me see over here is to tell us where the exponent is positive or negative and the age of the very beginning is the product of the factor when put all these numbers together such as eight the product of the factor and e or X team  + + 18 week 8 8 x chained to the 18th power  in conclusion in scientific notation gives us away to work with very small and very big numbers there are very simple processes to convert to and from scientific notation when going from scientific notation to standard form when X team for positive exponent or / team for a negative exponent when go from standard form to scientific notation we divided by 10 to get a positive exponent or X teens getting negative exponent when using a calculator you may can answer with an email this simply means that that answer is in scientific notation and has e x t in it  it is also possible to have a negative sign in front of the water to the factor in which case the product and Factor written in scientific notation will also be negative

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LT-10D: scientific notation and standard form

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