Which statement about the sum of two additive inverses is true? Select all that apply.

A.

The sum is 1.

B.

The sum is zero.

C.

The sum must be a positive number.

D.

The sum must be a negative number.

E.

The addends are the same number with opposite signs.

F.

The addends are the same number with the same signs.

Question

Mathematics

Haven Cobb

20 May, 21:25

Which statement about the sum of two additive inverses is true? Select all that apply.

A.

The sum is 1.

B.

The sum is zero.

C.

The sum must be a positive number.

D.

The sum must be a negative number.

E.

The addends are the same number with opposite signs.

F.

The addends are the same number with the same signs.

+4

Answers (1)

Know the Answer?

Annabelle Short · Answer 1

Option B. The sum is zero

Option E. The addends are the same number with opposite signs

Step-by-step explanation:

we know that

The additive inverse of a number is the opposite of that number, that is, the additive inverse of a number n is - n.

The sum of a number and its additive inverse is always zero, that is,

n + (-n) = 0

therefore

The sum is zero

The addends are the same number with opposite signs

Which statement about the sum of two additive inverses is true? Select all that apply.A.The sum is 1.B.The sum is zero.C.The sum must be a positive number.D.The sum must be a negative number.E.The addends are the same number with opposite signs.F.The addends are the same number with the same signs.