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

A-15
B3/5
C0.252525

  1. Which statement is false?

AEvery integer is a real number.
BThe number zero is a rational number.
CEvery irrational number is a real number.
DEvery real number is a rational number.

  1. Which number is not the same type of number as the others in the list?

A5.85
B63.4
C8.52624
D27.5

  1. How would you change this sentence to a true statement?

ASome irrational numbers are also rational numbers.
BAll irrational numbers are also rational numbers.
CHalf of the irrational numbers are also rational numbers.
DOne-third of the irrational numbers are also rational numbers.
EIrrational numbers cannot be classified as rational numbers.

  1. How would you change this sentence to a true statement?

AEvery irrational number is an integer.
BEvery irrational number is a rational number.
CEvery irrational number is a real number.
DEvery irrational number is a whole number.
EEvery irrational number is a perfect square.

Verified Answer :

W0lf93
  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.
  1. 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.
  1. 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.
  1. 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.
  1. 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

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