Multiply. Write your answer in scientific notation.
(5 × 10^(-12))(2 × 10^(8))
Multiply. Write your answer in scientific notation. (5 × 10^(-12))(2 × 10^(8))
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Multiply. Write your answer in scientific notation.
(5 × 10^(-12))(2 × 10^(8))
To multiply these two numbers in scientific notation, you multiply the coefficients (the numbers in front) and add the exponents of the powers of ten.
1. Multiply the coefficients:
(5 times 2 = 10)
2. Add the exponents:
(-12 + 8 = -4)
3. Combine the results:
You get (10 times 10^{-4}).
Since (10) is not in proper scientific notation (which requires a coefficient between (1) and (10)), you rewrite (10) as (1.0 times 10^1), so:
[
(1.0 times 10^1) times (10^{-4}) = 1.0 times 10^{1 – 4} = 1.0 times 10^{-3}
]
So, the final answer in scientific notation is:
[
1.0 times 10^{-3}
]
Great job working through this! If you need further clarification or assistance, feel free to ask!