Look at the picture answer all 3 of the questions and if you cannot answer all my questions then answer 1 question only.
Accepted Solution
A:
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. _________________________________________________