3 answers
To express the number 0.0255999197 in scientific notation, you can move the decimal point two places to the right, which gives you 2.55999197. Since you moved the decimal point two places to the right, you need to multiply by \(10^{-2}\).
Thus, 0.0255999197 in scientific notation is:
\[ 2.55999197 \times 10^{-2} \]
To solve \(8.03 \times 10^{-8} - 2.56 \times 10^{-2}\), we need to express both terms with the same exponent.
First, \(2.56 \times 10^{-2}\) can be rewritten with the exponent of \(-8\):
\[ 2.56 \times 10^{-2} = 2.56 \times 10^{-2} \cdot \frac{10^{6}}{10^{6}} = 2.56 \times 10^{4} \times 10^{-8} = 25600 \times 10^{-8} \]
Now we can perform the subtraction:
\[ 8.03 \times 10^{-8} - 25600 \times 10^{-8} = (8.03 - 25600) \times 10^{-8} \]
Calculating \(8.03 - 25600\):
\[ 8.03 - 25600 = -25591.97 \]
Putting it all together, we have:
\[ -25591.97 \times 10^{-8} \]
We can express this value in proper scientific notation. Moving the decimal point 4 places to the right, we get:
\[ -2.559197 \times 10^{-4} \]
So, the result of \(8.03 \times 10^{-8} - 2.56 \times 10^{-2}\) is:
\[ -2.559197 \times 10^{-4} \]
