Questions: 2.56 × 10^3 / 1.00 × 10^-1 =

Solution Steps

To solve this problem, we need to divide the number \(2.56 \times 10^{3}\) by \(1.00 \times 10^{-1}\). This involves handling the powers of ten separately from the coefficients. We divide the coefficients (2.56 by 1.00) and subtract the exponents of ten in the denominator from those in the numerator (3 - (-1)).

To solve the expression \(\frac{2.56 \times 10^{3}}{1.00 \times 10^{-1}}\), we first divide the coefficients:
\[ \frac{2.56}{1.00} = 2.56 \]

Next, we handle the exponents of 10. We subtract the exponent in the denominator from the exponent in the numerator:
\[ 3 - (-1) = 3 + 1 = 4 \]

Now, we combine the results from the previous steps to form the final expression:
\[ 2.56 \times 10^{4} \]

Final Answer