1. which of the following numbers is an example of an integer?

a. -15
b. 3/5
c. 0.252525

2. which statement is false?

a. every integer is a real number.
b. the number zero is a rational number.
c. every irrational number is a real number.
d. every real number is a rational number.

3. which number is not the same type of number as the others in the list?

a. 5.85
b. 63.4
c. 8.52624
d. 27.5

4. how would you change this sentence to a true statement?

a. some irrational numbers are also rational numbers.
b. all irrational numbers are also rational numbers.
c. half of the irrational numbers are also rational numbers.
d. one-third of the irrational numbers are also rational numbers.
e. irrational numbers cannot be classified as rational numbers.

5. how would you change this sentence to a true statement?

a. every irrational number is an integer.
b. every irrational number is a rational number.
c. every irrational number is a real number.
d. every irrational number is a whole number.
e. every irrational number is a perfect square.

1. All whole numbers (0, 1, 2,...) and their negative equivalent ( -1, -2, -3, ...) are considered integers. Hence, from the choices provided, the answer would be A. 2. Real numbers consist of rational and irrational numbers. So the statement "Every real number is a rational number" is not correct. Thus, the answer is D. 3. 5.85, 63.4, and 27.5 are terminating decimals. This means that they have a fixed decimal conversion and does continue endlessly. Meanwhile, for 8.52624 . . ., its digit goes on forever. So, odd one out would be C. 4. Irrational numbers are those that cannot be expressed as the ratio of two numbers. Examples for this would be the value of the constant e, √2, etc. Rational numbers, on the other hand, are numbers that can be expressed as ratio of two numbers. As can be seen irrational and rational numbers are opposite of ech other, by definition. Hence, irrational numbers cannot be classified as rational numbers. That will give an answer of E. 5. From the previous items, we can see that both rational and irrational numbers are part of the real number system. This means that every irrational number is a real number. Hence, the answer is C. Answers: A, D, C, E, C