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Scientific Notation2020-12-31T20:09:51+10:00

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    Keymaster
    July 8, 2018 at 3:47 pm
    Post count: 1622
    #13923
    Scientific Notation/Standard Notation

    is used to write very large or very small numbers.
    The decimal always goes after the first number and it is always multiplied by 10 to the power.

    whole numbers have a positive index

    1234 = 1.234 × 103

    decimal numbers have a negative index

    0.1234 = 1.234 × 10-1
    Admin
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    July 8, 2018 at 4:04 pm
    Post count: 1622
    #13929

    Simplify (3 × 104) × (2.1 × 105), giving your answer in scientific notation.

    = 6,300,000,000 = 6.3 × 109 calculate first on the calculator and then write out the answer, then convert to scientific by moving the decimal 9 places to the right, remembering that the decimal always goes after the first number

     

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    December 31, 2020 at 8:10 pm
    Post count: 1622
    #18765

    If an atom weighs 6.2 × 10-4 grams, what is the total weight of a substance which has 5.75 × 1010 atoms in the sample? Give the answer in scientific notation to 2 significant figures.

    if one atom weighs 6.2 × 10-4 grams  and we have 5.75 × 1010 atoms, to find the total, multiply

    = 6.2 × 10-4 × 5.75 × 1010 = 35|,650,000     since it is 2 significant figures, we need to ‘chop it off’ after the first 2 numbers so the 35 will round to 36 and then put in scientific notation

    = 3.6 × 107

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    December 31, 2020 at 8:11 pm
    Post count: 1622
    #18766
    Write 300 in scientific notation.
    300 = 3 × 102 to write this in scientific notation, consider this as 300 with a decimal after it: 300. we need to move the decimal from the end to after the 3  ie from 300. to 3.00 which is 2 positions so that will be 102
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    December 31, 2020 at 8:12 pm
    Post count: 1622
    #18767

    Write 4869 in scientific notation.

    4869 = 4.869 × 103

    		 we need to move the decimal from after the 9 to in between the 4 and the 8, which is 3 positions, so 103
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    December 31, 2020 at 8:13 pm
    Post count: 1622
    #18768

    Write 0.058 in scientific notation.

    0.058 = 5.8 × 10-2

    		 we need to move the decimal to in between the 5 and the 8 (the first 2 numbers that are not zero), which is 2 positions, and since this is a decimal, it will be a negative index
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    December 31, 2020 at 8:13 pm
    Post count: 1622
    #18770

    The energy E generated by a mass ‘m’ moving with velocity ‘v‘ is given by formula E= ½mv². Find E given m = 0.08 and v = 7 × 106.

    Answer in scientific notation.
    E = ½ × 0.08 × (7 × 106)2 Substitute the values into the equation
    E = 1.96 × 1012 it is very important to use the brackets around the (7 × 106)2, otherwise only part of the sum will be squared, and we need the entire amount to be calculate, and because this is a very large number, the calculator should give the answer in scientific notation for you
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