Question

Write the converse of the conditional statement and state whether it is true or false.



If a number is a whole number, then it is an integer.




A.
If a number is not a whole number, then it is not an integer. The converse is false.


B.
If a number is an integer, then it is a whole number. The converse is false.


C.
If a number is not an integer, then it is not a whole number. The converse is true.


D.
If a number is not an integer, then it is a whole number. The converse is false.

Answer 1

@amoodarya

Answer 2

@amoodarya

Answer 3

I believe it is C

Answer 4

@mathstudent55

Answer 5

@Jadeishere

Answer 6

thank you for coming to help me @mathstudent55

Answer 7

Statement: If p then q.
Converse: If q then p.

Statement: If hypothesis, then conclusion.
Converse: If conclusion, then hypothesis.

To find the converse of an "if statement", you must first identify the hypothesis and the conclusion. Then switch their positions.

Answer 8

then it would be C right

Answer 9

Choice C. has "not" added to the hypothesis and the conclusion. Do you see any "not" in the original statement?

Answer 10

Look in the original statement. Here it is:

\(\Large \sf If ~a ~number ~is ~a ~whole ~number, ~then ~it ~is ~an ~integer.\)

What is the hypothesis?
What is the conclusion?

Answer 11

what about B then?

Answer 12

The hypothesis is red, and the conclusion is green.
Do you agree?

\(\Large \sf If ~\color{red}{a ~number ~is ~a ~whole ~number}, ~then ~\color{green}{it ~is ~an ~integer}.\)

Answer 13

yes

Answer 14

Now switch them. You may need to slightly modify the language for the sentence to make sense.

\(\Large \sf If~\color{green}{it ~is ~an ~integer} , ~then ~\color{red}{a ~number ~is ~a ~whole ~number}.\)

Now we slightly adjust the language:

\(\Large \sf If~\color{green}{~a ~number ~is ~an ~integer} , ~then ~\color{red}{~it ~is ~a ~whole ~number}.\)

Answer 15

so it's sctually D

Answer 16

No. D again has "not" in it. You were correct before. The answer is B.
You can't add "not". You can only switch the hypothesis and the conclusion.

Answer 17

oo ok yea i was kind of confused and thanks

Answer 18

You're welcome.