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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 × 10^9 and 4.5 × 10^-5 in scientific notation can be found by multiplying the coefficients and adding the exponents.

Step 1: Multiply the coefficients: 8.2 × 4.5 = 36.9.

Step 2: Add the exponents: 10^9 × 10^-5 = 10^(9-5) = 10^4.

So, the product is 36.9 × 10^4.

To express this in scientific notation, we need to move the decimal point to the right until there is only one non-zero digit to the left of the decimal point.

Step 3: Move the decimal point 4 places to the right: 36.9 × 10^4 = 3.69 × 10^5.

We can find the product of two numbers in scientific notation by multiplying the coefficients and adding the exponents. In this case, we multiplied 8.2 by 4.5 to get 36.9 and added 9 and -5 to get 4. The final answer is 3.69 × 10^5.

The product of 8.2 × 10^9 and 4.5 × 10^-5 in scientific notation is 3.69 × 10^5.

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