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------------------------------------------------ What is the product of [tex]8.2 \times 10^9[/tex] and [tex]4.5 \times 10^{-5}[/tex] in scientific notation?

A. [tex]36.9 \times 10^{-45}[/tex]
B. [tex]12.7 \times 10^4[/tex]
C. [tex]3.69 \times 10^5[/tex]
D. [tex]3.69 \times 10^{14}[/tex]

Answer :

The product of 8.2 x 10^9 and 4.5 x 10^{-5} in proper scientific notation is 3.69 x 10^5. Hence the correct option is 1.

To multiply these numbers, we multiply their coefficients (8.2 and 4.5) and then add the exponents of 10 (9 and -5).

Multiplying the coefficients gives us 8.2 x 4.5 = 36.9

Adding the exponents of 10 gives us 9 + (-5) = 4.

Therefore, the product in scientific notation is 36.9 x 10^4, but we need the coefficient to be less than 10 for proper scientific notation.

To adjust this, we can divide the coefficient by 10 and add 1 to the exponent: 36.9 x 10^4 = 3.69 x 10^5

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