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Solve and express your answer in both scientific and standard notation. (4pts) 0.000856+(1.3 ×10^(-6)) Scientific qquad Standard qquad

33. Solve and express your answer in both scientific and standard notation. (44pts)\newline0.000856+(1.3×10−6) 0.000856+\left(1.3 \times 10^{-6}\right) \newlineScientific \qquad \newlineStandard \qquad

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Q. 33. Solve and express your answer in both scientific and standard notation. (44pts)\newline0.000856+(1.3×10−6) 0.000856+\left(1.3 \times 10^{-6}\right) \newlineScientific \qquad \newlineStandard \qquad
  1. Write in Scientific Notation: First, let's write both numbers in scientific notation to make it easier to add them.\newline0.0008560.000856 is the same as 8.56×10−48.56 \times 10^{-4}.\newline1.3×10−61.3 \times 10^{-6} is already in scientific notation.
  2. Add Numbers in Scientific Notation: Now, we add the two numbers together.\newlineSince the exponents are different, we can't add them directly. We need to make the exponents the same.\newlineLet's convert 1.3×10−61.3 \times 10^{-6} to have the same exponent as 8.56×10−48.56 \times 10^{-4}.\newline1.3×10−61.3 \times 10^{-6} is the same as 0.0013×10−40.0013 \times 10^{-4}.
  3. Convert Exponents: Now we can add them together.\newline8.56×10−4+0.0013×10−4=(8.56+0.0013)×10−48.56 \times 10^{-4} + 0.0013 \times 10^{-4} = (8.56 + 0.0013) \times 10^{-4}.
  4. Perform Addition: Let's do the addition.\newline8.56+0.0013=8.56138.56 + 0.0013 = 8.5613.\newlineSo, 8.56×10−4+0.0013×10−4=8.5613×10−48.56 \times 10^{-4} + 0.0013 \times 10^{-4} = 8.5613 \times 10^{-4}.
  5. Write in Scientific Notation: Now, let's write the answer in scientific notation. 8.5613×10−48.5613 \times 10^{-4} is already in scientific notation.
  6. Convert to Standard Notation: Finally, let's convert the scientific notation back to standard notation. 8.5613×10−48.5613 \times 10^{-4} is the same as 0.000856130.00085613.

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