Answer :
To determine which of the given mathematical statements is true, let's review each statement one by one:
A) [tex]\( 28 \div 0 = 0 \)[/tex]
Division by zero is undefined in mathematics. Dividing any number by zero does not result in a defined value, and it is not equal to zero. Therefore, this statement is false.
B) [tex]\( 28 + 0 = 0 \)[/tex]
Adding zero to any number does not change the value of that number. In this case, [tex]\( 28 + 0 \)[/tex] equals 28, not 0. Therefore, this statement is false.
C) [tex]\( 0 \div 28 = 0 \)[/tex]
Division of zero by any non-zero number is defined, and the result is zero. Hence, [tex]\( 0 \div 28 = 0 \)[/tex] is a valid and true statement.
D) [tex]\( 28 - 0 = 0 \)[/tex]
Subtracting zero from any number does not change the value of that number. In this case, [tex]\( 28 - 0 \)[/tex] equals 28, not 0. Therefore, this statement is false.
After evaluating all the statements, we find that the true statement is:
C) [tex]\( 0 \div 28 = 0 \)[/tex]
A) [tex]\( 28 \div 0 = 0 \)[/tex]
Division by zero is undefined in mathematics. Dividing any number by zero does not result in a defined value, and it is not equal to zero. Therefore, this statement is false.
B) [tex]\( 28 + 0 = 0 \)[/tex]
Adding zero to any number does not change the value of that number. In this case, [tex]\( 28 + 0 \)[/tex] equals 28, not 0. Therefore, this statement is false.
C) [tex]\( 0 \div 28 = 0 \)[/tex]
Division of zero by any non-zero number is defined, and the result is zero. Hence, [tex]\( 0 \div 28 = 0 \)[/tex] is a valid and true statement.
D) [tex]\( 28 - 0 = 0 \)[/tex]
Subtracting zero from any number does not change the value of that number. In this case, [tex]\( 28 - 0 \)[/tex] equals 28, not 0. Therefore, this statement is false.
After evaluating all the statements, we find that the true statement is:
C) [tex]\( 0 \div 28 = 0 \)[/tex]