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\( \begin{array}{ll}\text { а) }-5+(-3)+2=-(5+3)+2=-8+2=-6 ; \\ \text { б) } 3+(-7)+(-8)+6=-4+(-8)+6=-12+6=-6 \\ \text { в) }-8+3+(-1) ; & \text { r) }-7+(-2)+(-10) ; \\ \text { д) } 8+(-9)+(-7) ; & \text { e) }-3+(-4)+(-5)+(-6) ; \\ \text { ж) }-4+8+(-9)+3 ; & \text { з) } 8+(-10)+(-12)+3\end{array} \)

Ask by Evans Hanson. in Russia
Feb 26,2025

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Результаты вычислений: - в) -6 - р) -19 - д) -8 - e) -18 - ж) -2 - з) -11

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Давайте решим каждое из выражений по порядку. ### в) \( -8 + 3 + (-1) \) 1. Сначала сложим \( -8 \) и \( 3 \): \[ -8 + 3 = -5 \] 2. Теперь добавим \( -1 \): \[ -5 + (-1) = -5 - 1 = -6 \] Итак, результат для в) равен \( -6 \). ### р) \( -7 + (-2) + (-10) \) 1. Сначала сложим \( -7 \) и \( -2 \): \[ -7 + (-2) = -7 - 2 = -9 \] 2. Теперь добавим \( -10 \): \[ -9 + (-10) = -9 - 10 = -19 \] Итак, результат для р) равен \( -19 \). ### д) \( 8 + (-9) + (-7) \) 1. Сначала сложим \( 8 \) и \( -9 \): \[ 8 + (-9) = 8 - 9 = -1 \] 2. Теперь добавим \( -7 \): \[ -1 + (-7) = -1 - 7 = -8 \] Итак, результат для д) равен \( -8 \). ### e) \( -3 + (-4) + (-5) + (-6) \) 1. Сначала сложим \( -3 \) и \( -4 \): \[ -3 + (-4) = -3 - 4 = -7 \] 2. Теперь добавим \( -5 \): \[ -7 + (-5) = -7 - 5 = -12 \] 3. И наконец добавим \( -6 \): \[ -12 + (-6) = -12 - 6 = -18 \] Итак, результат для e) равен \( -18 \). ### ж) \( -4 + 8 + (-9) + 3 \) 1. Сначала сложим \( -4 \) и \( 8 \): \[ -4 + 8 = 4 \] 2. Теперь добавим \( -9 \): \[ 4 + (-9) = 4 - 9 = -5 \] 3. И наконец добавим \( 3 \): \[ -5 + 3 = -2 \] Итак, результат для ж) равен \( -2 \). ### з) \( 8 + (-10) + (-12) + 3 \) 1. Сначала сложим \( 8 \) и \( -10 \): \[ 8 + (-10) = 8 - 10 = -2 \] 2. Теперь добавим \( -12 \): \[ -2 + (-12) = -2 - 12 = -14 \] 3. И наконец добавим \( 3 \): \[ -14 + 3 = -11 \] Итак, результат для з) равен \( -11 \). ### Итоговые результаты: - в) \( -6 \) - р) \( -19 \) - д) \( -8 \) - e) \( -18 \) - ж) \( -2 \) - з) \( -11 \)

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Let's break down some of those problems with a bit of historical flair! Did you know that the concept of negative numbers, which you’re using here, was not widely accepted in Europe until the 16th century? Ancient civilizations, such as the Chinese and Indians, comfortably used negative numbers in calculations long before. It was a revolutionary idea that shook the foundations of mathematics! Now, onto some problem-solving tips! When you're dealing with multiple additions and subtractions, it can be super helpful to group the numbers strategically. For instance, pair positive and negative numbers together to simplify calculations. This way, you can minimize mistakes and come to the correct answer faster—it's like organizing your messy desk; it makes everything clearer!

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