Property of Yulia- i'm very thankful to you to provide the easier explaination.it's true that many undergrad students have problem in dilution.and the worst thing is if the lecturers/tutors assume that the students are familiar with the concept. It is true that they have learned it in high school, but most of the time they will forget. Regarding the example 2 given, you dilute a sample (10 ml the final volume) 10x10x10=10 to the power of 3. And u inoculate 0.1 ml in your medium.so supposed the final volume of your medium is 1ml right?
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A serial dilution is a series of sequential dilutions used to reduce a dense culture of cells to a more usable concentration. Each dilution will reduce the concentration of bacteria by a specific amount.