Elaine says that when you add two rational numbers, the sign depends on how many negative numbers you have. do you agree with elaine? explain your answer.

Statement by Elaine

 When you add two rational numbers, the sign depends on how many negative numbers you have.

Incorrect Statement

When you add two rational numbers , sign of the result depend on sign of Bigger Rational number , that is whether sign behind larger rational number is either positive or Negative.

Now, if both the rational number which needs to be added

1.→ Are of positive sign , the expression yields Positive result.

   6 +5=11

2.→If one is positive and another one is negative , one rational number must be subtracted from another and sign behind result is of larger rational number.

 →10 +(-11)= -1, as 11 is greater and it has negative sign behind it, so result will be negative Integer.

→ -5+8=3,larger rational number is Positive.

3.→ If both are of negative sign , result will be negative rational number.

  -5-6= -11

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a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign