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Looking at the numerical expression, and calculating, we will get - 6, numerical expressions, they are mathematical calculations that involve potentiation, addition, and etc... part of the rule of elimination, and operation, apart from that, we also have the sign game! Elimination rule:
- Parentheses. ()
- Brackets. []
- Keys. {}
Now, let's see the operating rule! Which is also very simple, however, it needs attention, like the other little rule. :)
- Potentiation. X²
- Multiplication and division. x/÷
- Addition and subtraction. +/-
And finally, the sign remembering that the sign is also very important! Any wrong sign results in a wrong value. Right?!
- (+) x (+) = (+). Positive with positive results in positive.
- (-) × (-) = (+). Negative with negative results in positive.
- (+) x (-) = (-). Positive with negative results in negative.
- (-) × ( +) = (-). Negative with positive results in negative.
Now, let's get to your exercise! - 4. (-2 + 5) - (-2-4). Let's start by subtracting! + (5-2) = + 3, obtaining: - 4 x 3 - (-2-4). We add... - (2 + 4) = - 6, thus obtaining: - 4 × 3 - (- 6 ). We multiply, - 4 x 3 = - 12 - (- 6 ). Since we have a minus sign in front of this expression co. parentheses, the sign changes to a positive. - 12 + 6... we subtract, - ( 12 - 6) = - 6. See the full calculation below:
[tex] - 4 \times ( - 2 + 5) - ( - 2 - 4) \\ - 4 \times 3 - ( - 2 - 4) \\ - 4 \times 3 - ( - 6) \\ - 12 - ( - 6) \\ - 12 + 6 \\ = - 6[/tex]
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