# How do you add (- 5.9) + 5.7?

Nov 21, 2017

Just arrange the equation

#### Explanation:

$\left(- 5.9\right) + 5.7$ can be rewritten:

$= 5.7 - 5.9 = - 0.2$

This is your answer $- 0.2$

Nov 21, 2017

ALWAYS follow the 2-step rule for combining signed numbers.
It NEVER fails.
There are NO EXCEPTIONS.

#### Explanation:

To combine signed numbers, here is the two-step rule that
NEVER fails.
There are NO EXCEPTIONS to this rule.

1) If the signs are different, SUBTRACT.

2) The sign of the answer is ALWAYS the sign of the number with the larger absolute value.
......................

Example:
$12 - 15$

1) The signs are different (plus 12 -vs- minus 15), so subtract
15 - 12 = 3

2) The sign of the answer will be "minus" because
$| 15 |$ is larger than $| 12 |$

- 3
...........................

Example:
$- 6 - 8$

1) The signs are not different, so three guesses what you do
$| 6 | + | 8 | = | 14 |$

2) The sign of the answer will be "minus" because
$| 8 |$ is larger than $| 6 |$

- 14
...........................

Example:
$9 - 4$

1) The signs are different, so subtract
$9 - 4 = 5$

2) The sign of the answer will be "plus" because
$| 9 |$ is larger than $| 4 |$

5
(but I bet you already knew that $9 - 4 = 5$)
...............................

For the problem you posted:
−5.9 + 5.7

1) The signs are different, so subtract
$5.9 - 5.7 = 0.2$

2) The sign of the answer will be "minus" because
$| 5.9 |$ is larger than $| 5.7 |$

$- 0.2$|