Answers:
6) The number, "8.2", belongs to:
[C]: "rational numbers only" .
Explanation:
Choice [A]: "whole number only" ; is incorrect; since any decimal value/ decimal-containing value — including this given value: "8.2" — is not a "whole number" ; and NOT an integer.
Thus, we can eliminate Choices: [D]: and [B] ; and we are left with:
"Choice: [C]: "Rational numbers only".
Note: "8.2" is a rational number; since the number is real; and since the number is not "irrational". An "irrational number" would mean that the resulting decimal form would be "non-terminating" AND "non-repeating".
→ As such: Answer choice: [C]: "rational numbers only".
7) The number, "5", belongs to:
[D]: "integers, whole numbers, and rational numbers".
Explanation:
Choice: [A]: is: "whole numbers ONLY". This COULD be correct; since "5" is a whole number; but take note of the the word: "only" in this answer choice.
Choice: [B]: is: "integers and rational numbers". Yes; "5" is both an "integer"; AND a "rational number"; and there is no word, such as "only" in this answer choice. So, this answer could be correct; and arguably is a better answer than "Choice: [A]" .
→ So; at this point, let us "tentatively eliminate": "Answer choice: [A] " .
Choice: [C]: is: "rational numbers only". Note that: "5" ; is, in fact, a "rational number"; however, take note of the word: "only"; (as mentioned in: "Answer choice: [A]" .
→ At this point, "Answer choice: [B]: is arguably a better answer than choices: [A} & [C].
→ So; we can tentatively eliminate choices: [A] & [C].
Choice [D]: is: "integers, whole numbers, and rational numbers" .
→ This choice is the best answer choice given; since "5" ; is an integer, a whole number, AND a rational number.
8) The number, "-27", belongs to:
[B]: "integers and rational numbers".
Explanation:
Choice: [A]: "whole number only" ; is incorrect, because negative numbers; including our given value; "- 27 " ; is NOT a "whole number".
→ As such, we can eliminate:
"Choice [A]" ;
as well as: "Choice [D]: "integers, whole numbers, and rational numbers".
We are left with: "Choices: [B] and [C] " .
Choice [B]: is: "integers and rational numbers". This choice could be correct; since our given value; " -27 " ; is both an "integer" AND a "rational number".
Choice [C]: is: "rational numbers only". Our given value, "-27", is a rational number; however, note the word: "only" ; in this answer choice.
→ Choice [B]: is: "integers AND rational numbers" ; which is the best—and correct—answer choice.
