How to combine number signs.
3–(+6)–(–7)=?
When you combine the signs of numbers, they will give you different results. Their signs could be Positive (+) or Negative (-).
+3 ⇔ 3
–3 ⇔ –3
If a number doesn’t have a sign, it usually means it’s Positive (+). 3 is same as (+3).
+(3) ⇔ +3
+(3) ⇔ 3
–(3) ⇔ –3
Signs in brackets, is the same when they are outside brackets.
++ ⇒ +
+(+3) ⇒ +3
When you combine Positive (+) and Positive (+), the sign will become Positive (+).
+ – ⇒ –
+(–3) ⇒ –3
– (+6) ⇒ –6
When you combine Positive (+) and Negative (-), the sign will become Negative (-).
– – ⇒ +
–(–6) ⇒ +6
When you combine Negative (-) and Negative (-), the sign will be Positive (+).
–(–6+7) ⇒ -(-6) –(+7)
–(–6) –(+7) ⇒ +6 –7
When you have multiple numbers with different signs, put them in separate brackets, then combine then signs.
3–(+6)–(–7)
⇓
3–(+6)⇐ ⇒–(–7)
⇓
3–(+6) –(–7)
Separate them to two parts, to make it easier to combine them.
3–(+6) –(–7)
⇓ ⇓
3–6 +7
Combine the signs for each part.
3–6 +7
⇓ ⇓
–3 +7
Add or subtract on each part.
–3 ⇒⇐ +7
⇓
–3 +7
Combine sides.
–3 +7
⇓
4
Finish up.
3–(+6)–(–7) = 4.