Question

question 10
the wavelength of microwaves (like those used in microwave ovens) is about (1 \times 10^{-4}) meters. the wavelength of x - rays (like those used at dentist offices) is about (1 \times 10^{-11}).
how many times longer are microwaves than x - rays? express your answer in scientific notation.

Explanation:

Step1: Set up division

$\frac{1 \times 10^{-3}}{1 \times 10^{-11}}$

Step2: Divide coefficients

$\frac{1}{1} = 1$

Step3: Subtract exponents

$10^{-3 - (-11)} = 10^{8}$

Step4: Combine results

$1 \times 10^{8}$

Answer:

$1 \times 10^{7}$