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Which one of the following mathematical statements is true?

A. [tex]$28 \div 0 = 0$[/tex]
B. [tex]$28 + 0 = 0$[/tex]
C. [tex]$0 \div 28 = 0$[/tex]
D. [tex]$28 - 0 = 0$[/tex]

Sagot :

GinnyAnsweridn
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]
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