Question

The wavelength of the color red is about 6.5 × 10^−9 m. The wavelength of the color blue is about 4.75 × 10^−9 m. Show that the wavelength of red is longer than the wavelength of blue. (explain plz)

Answer 1

Answer:Concept Development: We have learned why scientific notation is indispensable in science. This means that we have to

learn how to compute and compare numbers in scientific notation. We have already done some computations, so we

are ready to take a closer look at comparing the size of different numbers.

Step-by-step explanation:There is a general principle that underlies the comparison of two numbers in scientific notation: Reduce everything

to whole numbers if possible. To this end, we recall two basic facts.

1. Inequality (A): Let and be numbers and let > . Then < if and only if < .

2. Comparison of whole numbers:

a. If two whole numbers have different numbers of digits, then the one with more digits is greater.

b. Suppose two whole numbers and have the same number of digits and, moreover, they agree digitby-digit (starting from the left) until the

th place. If the digit of in the ( + )

th place is greater than

the corresponding digit in , then > .