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Illustrative
Mathematics
1
Illustrative
Mathematics
N.RN Operations with Rational
and Irrational Numbers
Task
Experiment with sums and products of two numbers from the following list to answer
the questions that follow:
5, 12 , 0, √‾2, −√2‾,
1
, π.
√2
Based on the above information, conjecture which of the statements is ALWAYS true,
which is SOMETIMES true, and which is NEVER true?
a. The sum of a rational number and a rational number is rational.
b. The sum of a rational number and an irrational number is irrational.
c. The sum of an irrational number and an irrational number is irrational.
d. The product of a rational number and a rational number is rational.
e. The product of a rational number and an irrational number is irrational.
f. The product of an irrational number and an irrational number is irrational.
N.RN Operations with Rational and Irrational Numbers
Typeset May 4, 2016 at 22:29:12. Licensed by Illustrative Mathematics under a
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