Consider the following two expressions: −3−(−11) and −3+11 . Which statement correctly explains why these two expressions are or are not equivalent?(1 point)
Responses
They are not equivalent because they do not get the same answer.
They are not equivalent because they do not get the same answer.
They are not equivalent because subtracting −11 is not the same as adding +11.
They are not equivalent because subtracting negative 11 is not the same as adding +11.
They are equivalent because the numerals are the same.
They are equivalent because the numerals are the same.
They are equivalent because to subtract integers you can add the opposite of the number that is being subtracted.
They are equivalent because to subtract integers you can add the opposite of the number that is being subtracted.
The correct statement is: They are not equivalent because subtracting −11 is not the same as adding +11.
The correct statement is: "They are not equivalent because subtracting negative 11 is not the same as adding +11."
To understand why these two expressions are not equivalent, we need to look at the operations being performed. In the first expression, -3 - (-11), we are subtracting -11 from -3. According to the rules of subtraction, subtracting a negative number is the same as adding its opposite. Therefore, -3 - (-11) can be rewritten as -3 + 11.
In the second expression, -3 + 11, we are simply adding 11 to -3.
Even though both expressions involve the same numerals, they result in different answers because of the different operations being performed. Therefore, the two expressions are not equivalent.