Question

1.

Which of the following numbers is an example of an integer?
• **-15 **
• **3/5**
• **0.252525 . . .**
2.
Which statement is false?
• **Every integer is a real number.**

• **The number zero is a rational number. **
• **Every irrational number is a real number. **

• **Every real number is a rational number.**
3.
Which number is not the same type of number as the others in the list?
• **5.85**
• **63.4**
• **8.52624 . . . **
• **27.5**
4.
How would you change this sentence to a true statement?

Some irrational numbers are also rational numbers.
• **All irrational numbers are also rational numbers.**
• **Half of the irrational numbers are also rational numbers.**
• **One-third of the irrational numbers are also rational numbers. **
• **Irrational numbers cannot be classified as rational numbers.**
5.
How would you change this sentence to a true statement?

Every irrational number is an integer.
• **Every irrational number is a rational number.**
• **Every irrational number is a real number. **
• **Every irrational number is a whole number. **
• **Every irrational number is a perfect square.**

Answer 1

1. The answer would be "-15" since integers are composed of whole numbers and negatives.

2. The statement "Every real number is a rational number." is false, since real numbers are composed of both rational and irrational numbers.

3. The number "8.52624 . . ." because this is the only non-terminating number, which makes it the only irrational number on the list.

4. "Irrational numbers cannot be classified as rational numbers." is the only correct statement. No irrational numbers can be rational numbers, and the opposite is also true.

5. Only the statement "Every irrational number is a real number." is true.