A culture of E. coli is diluted as follows: (1) 65mL are added to 435mL of water. (2) 10uL from (1) are then added to 9.99mL of water. (3) A 10-3 dilution is made from tube # (2). (4) 100uL from (3) are plated for a pour plate and incubated. There were 34 colonies counted on one quarter of the plate following incubation. a) What was the overall dilution? b) How many cfu/mL were present in the original culture? c) How many milliliters of water is needed to make a 10-3 dilution using 1000 uL from the original culture?

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Scientific Notation

We have to deal with quantities that are extremely large or very small. For example- I may have 6,500,000,000 red blood cells, or the diameter of an iron atom is 0.000000011 inches. Numbers with many zeros can be inexpedient to work with, so scientists use scientific notation. It represents very large numbers or very small numbers in a simple form. We know that whole numbers can be extended to infinity, but we cannot write such large numbers on paper. Numbers that present in millions of places after the decimal point need to be represented simply. Thus, it is difficult to represent a few numbers in their extended form. Therefore, we use scientific notation.