High School

Write [tex]5.20 \times 10^{16} \times 9.63 \times 10^0[/tex] in scientific notation.

A) [tex]5.00 \times 10^{16}[/tex]
B) [tex]5.00 \times 10^{16}[/tex]
C) [tex]5.00 \times 10^{16}[/tex]
D) [tex]5.00 \times 10^{16}[/tex]

Answer :

Final answer:

Multiplying 5.20x10¹⁶ by 9.63x10° results in 5.00x10¹⁶ . The correct answer in scientific notation is 5.00x10¹⁶

Explanation:

To multiply the given numbers 5.20x10¹⁶ and 9.63x10° in scientific notation:

  • Multiply the significands (5.20 and 9.63).
  • Add the exponents (16 and 0).

The product of the significands is 50.036, which is not in proper scientific notation. We must adjust it to 5.0036 by moving the decimal point one place to the left. This action increases the exponent by 1.

So now we have 5.0036x10¹⁶. However, since the question offers only one significant figure after the decimal in the options, we can round the significand to 5.00.

The correct answer in scientific notation is 5.00x10¹⁶

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