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studygirl18

Find the simplified form of the expression. Give your answer in scientific notation. (3 × 106)(8 × 10–4) A.1.1 × 103 B.2.4 × 103 C.1.1 × 10–23 D.2.4 × 10–23 please help

  • one year ago
  • one year ago

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  1. satellite73
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    i am guessing that this is \[(3\times 10^6)(8\times 10^{-4})\]

    • one year ago
  2. satellite73
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    multiply \(3\times 8=24\) and \(10^6\times 10^{-4}=10^2\) so the first thing you get it \[24\times 10^2\] but in scientific notation you need to write it as \[2.4\times 10^3\]

    • one year ago
  3. whpalmer4
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    I assume that is really \[(3*10^6)(8*10^{-4})\] Multiplying the 10^{num} pats is easy, just add the exponents. Multiply the other two, combine with the new exponent part: \[(3*10^6)(8*10^{-4})\ = (24 * 10^{(6-4)})\] Now adjust the first part to make it between 1 and 10 and adjust the exponent to match. That gives you \[ 2.4 * 10*10^2 = 2.4*10^3\] because you divided the first part by 10 and increased the last part by 10 to keep the value the same.

    • one year ago
  4. whpalmer4
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    first part = mantissa

    • one year ago
  5. studygirl18
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    thxs

    • one year ago
  6. whpalmer4
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    Engineering notation is like scientific notation, except the exponent is always a multiple of 3 — makes it a bit easier when using kilo or mega or whatever prefixes.

    • one year ago
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