Question

1. find the sum of $4.5 \times 10^{-1}$ and the quotient of $7 \times 10^{-4}$ and $8 \times 10^{-3}$.

Explanation:

Step1: Calculate the quotient of \(7\times10^{-4}\) and \(8\times10^{-3}\)

To divide numbers in scientific notation, we divide the coefficients and subtract the exponents of 10. So, \(\frac{7\times10^{-4}}{8\times10^{-3}}=\frac{7}{8}\times10^{-4 - (-3)} = 0.875\times10^{-1}\)

Step2: Convert \(4.5\times10^{-1}\) to a decimal (or keep in scientific notation) and add the quotient

First, \(4.5\times10^{-1}=0.45\) and \(0.875\times10^{-1}=0.0875\). Now, add them: \(0.45 + 0.0875 = 0.5375\) (or in scientific notation: \(5.375\times10^{-1}\))

Answer:

\(0.5375\) (or \(5.375\times10^{-1}\))