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8 June, 16:37

1. Write numbers from standard form to Scientific notation for the following: The diameter of human DNA is about 0.000000002

2. Idaho is shaped like a triangle with a base of approximately 320 miles and a height of approximately 520 miles. Calculate the area of Idaho and write the answer in scientific notation.

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  1. 8 June, 16:55
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    Okay, so in order to find scientific notation you're going to either move the decimal place to the left or right in order to make your answer a number between 1 and 9. In this case you're going to need to move it right, because you need to make it bigger in order to make it a number between 1 and 9. You'll have to move the decimal 9 places to the right, which will give you the number 2. Since you are making the number bigger, your exponent will be negative. That happens anytime you move the decimal place to the right. To the left, your exponent will be positive. Therefore the answer to 1 is:

    2.00X10^-9

    As for number two, you must first start by using the area formula of a triangle. That equation would be

    A = 1/2bh or A=bh/2 (b=base and h=height)

    By plugging that in you get an area of 83,200 miles. As mentioned before, when finding scientific notation, you want a number between 1 and 9. To do so, we have to make this number smaller by moving the decimal 4 places to the left (making the exponent positive) and resulting in an answer of:

    8.32X10^4 miles
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