Subjects algebra

Scientific Notation 97429C

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1. The problem is to understand and express the number 9.2 × 10^{-11}. 2. This is a number written in scientific notation, where 9.2 is the coefficient and 10^{-11} means we multiply 9.2 by 10 raised to the power of -11. 3. The formula for scientific notation is: $$a \times 10^{n}$$ where $a$ is a number between 1 and 10, and $n$ is an integer. 4. Here, $a = 9.2$ and $n = -11$. 5. To convert this to decimal form, we move the decimal point in 9.2 eleven places to the left because the exponent is negative. 6. Moving the decimal point 11 places left: $$9.2 = 0.000000000092$$ 7. So, the number 9.2 × 10^{-11} in decimal form is: $$0.000000000092$$ This is a very small number close to zero.