Analyze Robin’s reasoning in her answer to the test question about rational or irrational
numbers. Does she have a deep understanding of rational and irrational numbers? Does her
reasoning make sense? If not, what misconceptions does she have about this topic? Create a
study guide with explanations, examples, and graphics to help clear up any misconceptions
students might have over these topics.
3
rd Block Robin Radical
1. Is
130
rational or irrational? Where would
130
be located
on a number line? Explain your reasoning.
130
is a rational number because 130 is even. All
rational numbers are even and irrational numbers are
odd when the numbers are under the square root sign.
The square root sign is the opposite of squaring a
number. Squaring a number is the same as raising it
to the 2nd power. So, to find the value of a number
under the square root sign, you divide it by 2. So,
130÷2 is 65. The answer is 65.
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