Practice Real Numbers (1) - REAL NUMBERS

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9 questions

Flashcard drill
3 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
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Express 45 as a product of its prime factors.
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Start by dividing by the smallest prime number.
Question 2.
What is the HCF of 14 and 21?
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List the prime factors.
3Question 3.
What does the Fundamental Theorem of Arithmetic state?
- Every number is prime
- Every composite number can be expressed uniquely as a product of primes
- Primes are infinite
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Focus on the uniqueness aspect.
4Question 4.
Are all prime numbers irrational?
- True
- False
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Consider the definitions of rational and irrational.
Question 5.
Prove that the square root of 5 is irrational.
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Use the prime factorization approach.
Question 6.
Demonstrate the relationship of HCF, LCM in three numbers using examples.
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Look for common and unique prime factors in each.

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