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What are the advantage and disadvantage of each representation for finding patterns and making predictions?
Graph-Advantage:Allows you to see patterns more easily.
Disadvantage:can't see precise values
Table-Advantage:Can allow you to precisely see the effect of the input variable on the output.
Disadvantage:Harder to see patterns
Word Descriptions-Advantage:Allows you to describe data values.
Disadvantage:Can't see precise values
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When you make conclusions based on patterns you observe you use what?
The conclusion may only apply to the patterns that you observe and so you simply use your observational skills. There is no requirement for the conclusion to be a generalisation. If the conclusion is a generalisation based on the observed patterns then you will have used induction.
What is type of reasoning where conclusions are based on patterns you observe called?
inductive reasoning
How are number patterns expressions and equations used to solve problems?
the sum of a number and 16 is equal tu 45
How does graphing show us that some natural phenomena may be predictable?
by entering data into a table or graph, you can see trends and patterns in many events
Is pi 3.1415 ect?
Pi is a type of number called an irrational number. That means it cannot be written as a fraction. If we write the decimal representation of Pi, the first 4 numbers after the decimal are 1415 but it does continue on forever and there is no repeating patterns. The fact that is cannot be written as a fraction is equivalent to saying its decimal repesentation goes on forever. This is because if we COULD write it as a fractions, say by contradition the Pi is 3.14159 exactly (by contradiction means we know it is not) Then we could simply take this number and multiply the numerator and denominatory by 100000 and we would have a fraction, namely 314159/100000, but this means Pi is rational and it is not. THIS IS NOT a proof that pi is irrational. That proof is not too hard, but I will wait for someone to ask for it.
