SOLUTION: John had three homework tasks to do. For each homework task there are theee sections. In each of these sections are three questions. Model this problem to work out how many ques

Algebra ->  Exponents -> SOLUTION: John had three homework tasks to do. For each homework task there are theee sections. In each of these sections are three questions. Model this problem to work out how many ques      Log On


   

Question 1110302: John had three homework tasks to do. For each homework task there are theee sections. In each of these sections are three questions.
Model this problem to work out how many questions John has to answer.
Represent as expanded notation.
Solve how many questions does John need to complete?
How do you know you are correct?
(Please provide proof you’re correct, provide multiple ways if you can to represent and solve.)
Thank you this is very important for me.
Found 2 solutions by josgarithmetic, Shin123:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
--------------------------------------------------------------------------
three homework tasks to do. For each homework task there are theee sections. In each of these sections are three questions.
Model this problem to work out how many questions John has to answer.
--------------------------------------------------------------------------

RATIOS! Use the described ratios as conversion factors (taking the form of a "fraction"). ONLY THREE STEPS NEEDED.

3%2Ahomeworks%2A3%28sections%2Fhomeworks%29%2A3%28questions%2Fsection%29

3%2A3%2A3%2Aquestions

highlight%2827%2Aquestions%29

You can also solve this problem using individual proportions; TWO of them. Most people would not want to do it that way, but instead use the ratios as conversion factors and make one setup and work through it.

Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
3 homework tasks*3 sections*3 questions=
3%2A3%2A3
3%5E3=27 questions.