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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

i am guessing that this is $(3\times 10^6)(8\times 10^{-4})$

2. satellite73

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 $2.4\times 10^3$

3. whpalmer4

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.

4. whpalmer4

first part = mantissa

5. studygirl18

thxs

6. whpalmer4

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.