Problem preview
N-RN.3 Warmup M2-062-A04-V02

Explain closure properties of rational numbers and irrational results from rational/irrational sums and products.

Classify a rational-irrational product with an explicit zero check

Problem

Simplify \((-1/2)\pi~\), classify the product, and justify the result after explicitly checking whether the \(\text{rational}~\text{factor}~\text{is}~\text{zero}\).

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
N-RN.3
Category
Number and Quantity
Domain
The Real Number System
Objective
Explain closure properties of rational numbers and irrational results from rational/irrational sums and products.
Problem type
Classify a rational-irrational product with an explicit zero check