Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3." Which statements are true regarding his work? Check all that apply.

A: The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."

B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."

C: The statement is not a conditional statement because it does not include both an "if" and a "then" clause.

D:The statement can be proven true or false.

E:The conclusion of the statement is written before the hypothesis.

Question

Clare Brady

Mathematics

6 July, 19:48

Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3." Which statements are true regarding his work? Check all that apply.

A: The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."

B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."

C: The statement is not a conditional statement because it does not include both an "if" and a "then" clause.

D:The statement can be proven true or false.

E:The conclusion of the statement is written before the hypothesis.

+1

Answers (2)

Know the Answer?

Tony Macias · Answer 1

We have been given a statement written by Galen which is

"If the sum of the digits in a number is divisible by 3, the original number is divisible by 3."

Now we need to select which statements are true regarding his work.

A: The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."

Answer:

TRUE

B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."

Answer:

TRUE

C: The statement is not a conditional statement because it does not include both an "if" and a "then" clause.

Answer:

FALSE, I agree that it has not used the word "then" but meaning of the statement is in the form of if then clause.

D:The statement can be proven true or false.

Answer:

TRUE, As you can take some example of any random number to test that.

E:The conclusion of the statement is written before the hypothesis.

Answer:

FALSE.

Francis Floyd · Answer 2

Answer with explanation:

Property of Divisibility by 3:

"If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3".

For example →, consider number 63,

Sum of the digit = 6 + 3=9

9 is divisible by 3, so 63 is divisible by 3.

→The Statement is Conditional because, if sum of the digit of the number is divisible by 3, then we can say that, the Number is Divisible by 3.

→Yes, the statement can be proven True or False.

Correct Statement are:

Option B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."

Option D: The statement can be proven true or false.