Question

1. What happened when you had a negative plus a negative, (-a) + (-b)?

Answer 1

Answer:

See Explanation

Step-by-step explanation:

1.

What happens when negative adds to negative; e.g (-a) + (-b)

First, we need to simplify the expression

$(-a) + (-b)$

Open the brackets

$-a - b$

Factorize

$-(a+b)$

So, what happens is that: the two numbers are added together and the result is negated;

E.g.

$(-5) + (-3) = -(5 + 3) = -8$

2.

What happens when positive is added to negative; e.g. a + (-b)

First, we need to simplify the expression

$a + (-b)$

Open the brackets

$a - b$

So, what happens is that: the negative number is subtracted from the positive number

And Yes; $a + (-b)$ is the same as $a - b$ (As shown above)

E.g.

$5 + (-3) = 5 - 3 =2$

3.

What happens when to positive minus a negative; e.g. a - (-b)

First, we need to simplify the expression

$a - (-b)$

Open the brackets

$a + b$

So, what happens is that; the two numbers are added together.

E.g.

$5 - (-3) = 5 + 3 = 8$

4.

What happens when negative minus a negative; e.g. (-a) - (-b)

First, we need to simplify the expression

$(-a) - (-b)$

Open the brackets

$-a + b$

Reorder

$b - a$

So, what happens is that; the first number is subtracted from the second.

E.g.

$(-5) - (-3) = 3-5 = -2$