Ask your friends which of the following statements are ‘always true’, ‘sometimes true’ or ‘never true’,
and why and write in detail?
1. The sum of two natural numbers is a natural number.
2. The sum of two integers is NOT an integer.
3. The difference of two irrational numbers is an irrational number.
4. The product of two irrational numbers is an irrational number.
5. The quotient of two whole numbers is a whole number.
6. The quotient of two real numbers is a real number.
7. There are an infinite number of pairs of whole numbers whose sum is 0.
8. There exists a pair of whole numbers whose product is 1.
9. The product of two real numbers is not a non-repeating, non-terminating decimal.
10. The exact location of a natural number cannot be determined on a number line.
11. The difference of two integers is to the left of each of the two integers on a number line.
12. There are finite natural numbers between any two real numbers.
13. The number a2 is a natural number if a is a natural number.
14. The number ab is greater than both a and b.
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Answer:
1.true 2true 3.true 4. true 5. true
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