Practice Summary (1.4) - REAL NUMBERS

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8 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Find the prime factorization of 18.
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Think about the smallest prime numbers.
Question 2.
Identify if 7 is a prime or composite number.
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Check its factors.
3Question 3.
What does the Fundamental Theorem of Arithmetic state?
- Every prime number is composite.
- Every composite number has a unique prime factorization.
- Prime factorization is not unique.
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Remember the uniqueness of prime factorization.
4Question 4.
Is 2 an irrational number?
- True
- False
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Think about its representation as a rational number.
Question 5.
Prove that the sum of a rational number and an irrational number is irrational.
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Consider the properties of rational numbers.
Question 6.
If p is prime and p divides a², prove p divides a.
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Utilize the Fundamental Theorem of Arithmetic.

4 more questions in this section. Enroll free to practise them all.