Краткое пояснение: Чтобы упростить выражение, нужно перемножить числовые коэффициенты и переменные.
ВАРИАНТ 1
1) −2,1 ⋅ 4b = −2,1 ⋅ 4 ⋅ b = −8,4b
2) −0,7y ⋅ (−0,5) = −0,7 ⋅ (−0,5) ⋅ y = 0,35y
3) −4c ⋅ 3,6d = −4 ⋅ 3,6 ⋅ c ⋅ d = −14,4cd
4) −5a ⋅ (−0,6b) ⋅ 0,3c = −5 ⋅ (−0,6) ⋅ 0,3 ⋅ a ⋅ b ⋅ c = 0,9abc
5) -\(\frac{3}{14}\)p ⋅ \(\frac{7}{27}\) ⋅ (−q) = -\(\frac{3}{14}\) ⋅ \(\frac{7}{27}\) ⋅ (−1) ⋅ p ⋅ q = \(\frac{3 ⋅ 7}{14 ⋅ 27}\)pq = \(\frac{1}{18}\)pq = \(\frac{1}{18}\)pq
6) 1\(\frac{3}{5}\)x ⋅ (−\(\frac{15}{32}\)y) = \(\frac{8}{5}\)x ⋅ (−\(\frac{15}{32}\)y) = \(\frac{8}{5}\) ⋅ (−\(\frac{15}{32}\)) ⋅ x ⋅ y = −\(\frac{8 ⋅ 15}{5 ⋅ 32}\)xy = −\(\frac{3}{4}\)xy = −\(\frac{3}{4}\)xy
2. Упростите выражение −1,25a ⋅ 8b и найдите его значение, если a = −2\(\frac{1}{12}\), b = −1\(\frac{1}{5}\).
−1,25a ⋅ 8b = −1,25 ⋅ 8 ⋅ a ⋅ b = −10ab
a = −2\(\frac{1}{12}\) = −\(\frac{25}{12}\)
b = −1\(\frac{1}{5}\) = −\(\frac{6}{5}\)
−10ab = −10 ⋅ (−\(\frac{25}{12}\)) ⋅ (−\(\frac{6}{5}\)) = −10 ⋅ \(\frac{25}{12}\) ⋅ \(\frac{6}{5}\) = −\(\frac{10 ⋅ 25 ⋅ 6}{12 ⋅ 5}\) = −25
ВАРИАНТ 2
1. Упростите выражение и подчеркните его коэффициент:
4) −8x ⋅ 0,6y ⋅ (−0,5z) = -8 ⋅ 0,6 ⋅ (-0,5) ⋅ x ⋅ y ⋅ z = 2,4xyz = 2,4xyz
Ответ: См. решение