Back to Explain operations on rational and irrational numbers — Problem 3 · Task Set 3
Exercises: Explain Why Sums and Products of Rational and Irrational Numbers Follow Specific Rules
Work through each section in order. For explanation problems, write in complete sentences and include the reasoning (proof template, counterexample, or construction). Classification alone is not sufficient — explain why.
Grade 9·21 problems·~32 min·Common Core Math - HS Number and Quantity·standard·hsn-rn-b-3
Work through problems with immediate feedback
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Warm-Up: Classifying Real Numbers
Classify each number and explain your reasoning. Simplify any radicals before classifying.
1.
State the definition of a rational number. Then explain what makes a number irrational. Give one example of each.