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What is the product expressed in scientific notation?

0.00043 ×(6.5 ×10^(8))

2.795 ×10^(6)

2.795 ×10^(3)

2.795 ×10^(4)

2.795 ×10^(5)

What is the product expressed in scientific notation?\newline0.00043×(6.5×108) 0.00043 \times\left(6.5 \times 10^{8}\right) \newline2.795×106 2.795 \times 10^{6} \newline2.795×103 2.795 \times 10^{3} \newline2.795×104 2.795 \times 10^{4} \newline2.795×105 2.795 \times 10^{5}

Full solution

Q. What is the product expressed in scientific notation?\newline0.00043×(6.5×108) 0.00043 \times\left(6.5 \times 10^{8}\right) \newline2.795×106 2.795 \times 10^{6} \newline2.795×103 2.795 \times 10^{3} \newline2.795×104 2.795 \times 10^{4} \newline2.795×105 2.795 \times 10^{5}
  1. Convert to Scientific Notation: Convert 00.0004300043 into scientific notation and multiply it by 6.5×1086.5 \times 10^8.\newline- Convert 00.0004300043 to scientific notation: 4.3×1044.3 \times 10^{-4}.\newline- Multiply 4.3×1044.3 \times 10^{-4} by 6.5×1086.5 \times 10^8.\newline- Calculation: 4.3×6.5=27.954.3 \times 6.5 = 27.95.\newline- Adjust exponents: 27.95×10(84)=27.95×10427.95 \times 10^{(8-4)} = 27.95 \times 10^4.
  2. Multiply in Scientific Notation: Convert the product 27.95×10427.95 \times 10^4 into a standard form for scientific notation.\newline- Standard scientific notation requires one digit before the decimal.\newline- Adjust 27.9527.95 to 2.7952.795 by moving the decimal one place to the left.\newline- Adjust the exponent to compensate: 2.795×1052.795 \times 10^5.

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