Sean says that to add a number to - 100 and still have-100 is to add. Zero. Candace says that she can add two numbers to - 100 and still have - 100. Who is correct and why?

Question

Scarlet Graves

Mathematics

4 December, 17:01

Sean says that to add a number to - 100 and still have-100 is to add. Zero. Candace says that she can add two numbers to - 100 and still have - 100. Who is correct and why?

+4

Answers (1)

Know the Answer?

Quinn Harrington · Answer 1

They are both correct. Candace must use a pair of additive inverses.

Step-by-step explanation:

Sean is correct. Zero is the "additive identity." That means when you add zero to any number, that number keeps its identity, meaning it remains the same. Adding zero to any number does not change the number.

For example:

5 + 0 = 5

-10 + 0 = - 10

2.89 + 0 = 2.89

Candace is also correct. She can add two numbers to - 100 and still have - 100. the way to do it is that the numbers that she adds to - 100 must be opposites, or additive inverses. Additive inverses, also called opposites, are two numbers whose sum is zero.

For example:

-5 and 5

-22 and 22

Each pair of numbers above is a pair of additive inverses since their sum is zero.

If Candace adds two numbers to - 100, and the numbers are a pair of additive inverses, then she is adding zero to the - 100, so the result is still - 100.

Answer: They are both correct. Candace must use a pair of additive inverses.