To explain this calculation, we need to understand scientific notation and how to multiply numbers in this format.
Scientific notation is a way to express very large or very small numbers using powers of 10. It consists of a number between 1 and 10 (known as the coefficient) multiplied by a power of 10. The power of 10 indicates the number of zeros after the coefficient.
In this case, we have two numbers in scientific notation: (9.1 × 10^9) and (2.6 × 10^2).
To multiply these numbers, we multiply the coefficients (9.1 and 2.6) and add the exponents (9 and 2).
9.1 × 2.6 = 23.66
10^9 × 10^2 = 10^(9+2) = 10^11
Putting it all together, we get:
(9.1 × 10^9) × (2.6 × 10^2) = 23.66 × 10^11
Since 23.66 is greater than 1 but less than 10, we can rewrite it as 2.366 and move the decimal point one place to the left. This gives us:
2.366 × 10^11
So the final answer is 2.366 × 10^11, or in standard notation, 236,600,000,000.
(9.1 × 10^9) ⋅ (2.6 × 10^2) = 2.366 × 10^12
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