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.
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.
