Practice Operations On Real Numbers (1.4) - Number Systems

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8 questions

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6 sample questions

Question 1.
Is 1/2 + $\sqrt{2}$ rational or irrational?
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Remember to consider that adding a rational number to an irrational number results in an irrational number.
Question 2.
What is the product of π and 2?
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Think about the multiplication of rational and irrational numbers.
3Question 3.
What is the result of adding a rational number and an irrational number?
- Rational
- Irrational
- Undefined
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Think about characteristics of irrational numbers.
4Question 4.
True or False: The product of two irrational numbers is always irrational.
- True
- False
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Consider specific examples where this rule may not hold.
Question 5.
Given irrational numbers A = $\sqrt{7}$ and B = $\sqrt{7}$ + $\sqrt{3}$ , classify A + B, A - B, and A * B.
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Use properties of irrational numbers and explore each operation.
Question 6.
If x and y are irrational numbers such that x + y = 6, what can be concluded about x and y?
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Consider the definitions of rational and irrational and how they could together make a rational number.

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