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Giải mục 4 trang 13, 14 SGK Toán 7 tập 1 - Chân trời sáng tạo

Cho biểu thức M = ....Giải bài toán ở hoạt động khởi động (Trang 11) Một toà nhà cao tầng có hai tầng hầm. Tầng..

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HĐ 4

Cho biểu thức M = \(\frac{1}{7}.(\frac{{ - 5}}{8}) + \frac{1}{7}.(\frac{{ - 11}}{8})\). Hãy tính giá trị của M theo 2 cách: a) Thực hiện tính nhân rồi cộng 2 kết quả b) Áp dụng tính chất phân phối của phép nhân đối với phép cộng

Phương pháp giải:

a) Thực hiện tính nhân rồi cộng 2 kết quả b) Áp dụng tính chất phân phối của phép nhân đối với phép cộng: a . b + a.c = a. (b +c)

Lời giải chi tiết:

a)  \(\begin{array}{l}M = \frac{1}{7}.(\frac{{ - 5}}{8}) + \frac{1}{7}.(\frac{{ - 11}}{8})\\ = \frac{{ - 5}}{{56}} + \frac{{ - 11}}{{56}} = \frac{{ - 16}}{{56}} = \frac{{ - 2}}{7}\end{array}\) b) \(\begin{array}{l}M = \frac{1}{7}.(\frac{{ - 5}}{8}) + \frac{1}{7}.(\frac{{ - 11}}{8})\\ = \frac{1}{7}.[(\frac{{ - 5}}{8}) + (\frac{{ - 11}}{8})]\\ = \frac{1}{7}.\frac{{ - 16}}{8}\\ = \frac{1}{7}.( - 2)\\ = \frac{{ - 2}}{7}\end{array}\)

Thực hành 5

Tính: a)\(A = \frac{5}{{11}}.\left( {\frac{{ - 3}}{{23}}} \right).\frac{{11}}{5}.\left( { - 4,6} \right);\)        b) \(B = \left( {\frac{{ - 7}}{9}} \right).\frac{{13}}{{25}} - \frac{{13}}{{25}}.\frac{2}{9}\)

Phương pháp giải:

Áp dụng tính chất phân phối của phép nhân đối với phép cộng: a.b+a.c=a(b+c)

Lời giải chi tiết:

a) \(\begin{array}{l}A = \frac{5}{{11}}.\left( {\frac{{ - 3}}{{23}}} \right).\frac{{11}}{5}.\left( { - 4,6} \right)\\A = \frac{5}{{11}}.\left( {\frac{{ - 3}}{{23}}} \right).\frac{{11}}{5}.\frac{{ - 23}}{5}\\A = \frac{{5.\left( { - 3} \right).11.\left( { - 23} \right)}}{{11.23.5.5}}\\A = \frac{3}{5}\end{array}\)   b) \(\begin{array}{l}B = \left( {\frac{{ - 7}}{9}} \right).\frac{{13}}{{25}} - \frac{{13}}{{25}}.\frac{2}{9}\\B = \frac{{13}}{{25}}.\left( {\frac{{ - 7}}{9} - \frac{2}{9}} \right)\\B = \frac{{13}}{{25}}.(-1)\\B = \frac{{-13}}{{25}}.\end{array}\)

Vận dụng 2

Giải bài toán ở hoạt động khởi động (Trang 11) Một toà nhà cao tầng có hai tầng hầm. Tầng hầm B1 có chiều cao 2,7 m. Tầng hầm B2 có chiều cao bằng \(\frac{4}{3}\) tầng hầm B1. Tính chiều cao tầng hầm của toà nhà so với mặt đất.

Phương pháp giải:

-          Tính chiều cao tầng hầm B2 -          Chiều cao tầng hầm của toà nhà so với mặt đất = Chiều cao tầng hầm B1 + Chiều cao tầng hầm B1

Lời giải chi tiết:

Chiều cao tầng hầm B2 là:  \(2,7.\frac{4}{3} = \frac{{18}}{5} = 3,6\,\,(m)\) Chiều cao tầng hầm của toà nhà so với mặt đất là:  \(2,7 + 3,6 = 6,3\,\,(m)\)

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