True or false: real numbers

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   Every composite number can be written as a product of primes.

2. Statement is true

   No

   Statement

   There are only finitely many prime numbers.

3. Statement is true

   Yes

   Statement

   253 factorises as 11 times 23.

4. Statement is true

   Yes

   Statement

   Whether a fraction terminates depends on the prime factors of its denominator.

Instructions

Decide whether each statement about real numbers is true or false.

Explanation