a.-6,37

b.5,3

c.-79

d.17,295

Tính nhanh:

a) (-6,37 × 0,4) × 2,5;

b) (-0,125) × (-5,3) × 8;

c) (-2,5) × (-4) × (-7,9);

d) (-0,375) ×

Hướng dẫn làm bài:

a) (- 6,37 × 0,4) × 2,5

= - 6,37× (0,4 × 2,5)

= - 6,37 × 1 = - 6,37

b) (-0,125) × (-5,3) × 8

= (-0,125 × 8) × (-5,3)

=(-1). (-5,3) = 5,3

c) (-2,5) × (-4) × (-7,9)

= [(-2,5) × (-4)] × (-7,9)

= 10 . (-7,9)

= -79

d)

a) (-6,37.0,4).2,5

= (0,4.2,5).(-6,37)

= 1. (-6,37)

= -6,37

b) (-0,125).(-5,3).8

= (-0,125.8).(-5,3)

= -1. (-5,3)

= 5,3

c) (-2,5).(-4).(-7,9)

= ((-2,5).(-4)). (-7,9)

= 10. (-7,9)

= -79

d) (-0,375). \(4\frac{1}{3}\). \(\left(-2^3\right)\)

= (-0,375). \(\frac{13}{3}\). (-8)

= ((-0,375).(-8)). \(\frac{13}{3}\)

= 3. \(\frac{13}{3}\)

= 13

a)

\(\left(-6,37.0,4\right)2,5=\left(-6,37\right).\left(\frac{2}{5}.\frac{5}{2}\right)=1.\left(-6,37\right)=-6,37\)

b)

\(\left(-0,125\right)\left(-5,3\right).8=\left[\left(-\frac{1}{8}\right).8\right]\left(-5,3\right)=\left(-1\right)\left(-5,3\right)=5,3\)

c)

\(\left(-2,5\right).\left(-4\right).\left(-7,9\right)=\left[\left(-\frac{5}{2}\right).\left(-4\right)\right]\left(-7,9\right)=10.\left(-7,9\right)=-79\)

d)

\(\left(-0,375\right).4\frac{1}{3}.\left(-2\right)^3=\left(-\frac{3}{8}\right).\frac{12}{3}.\left(-8\right)=12\)

a) \(=\left(\frac{-337}{100}:\frac{40}{100}\right).\frac{250}{100}=\frac{-337}{40}.\frac{40}{16}=-\frac{337}{16}\)

b) \(=\frac{-1}{8}.\left(-5,3\right).8=\frac{-1}{8}.8.\left(-5,3\right)=-1.\left(-5,3\right)=5,3\)

c) \(=10.\left(-7,9\right)=-79\)

d) \(=-\frac{3}{8}.\frac{13}{3}.\left(-8\right)=\left[-\frac{3}{8}.\left(-8\right)\right].\frac{13}{3}=3.\frac{13}{3}=13\)

a)(-3,37:0,4).2,5

=(-8,425).2,5

=-21,0625

b) (-0,125) . (-5,3) . 8

=(-0,125).8.(-5,3)

=(-1).(-5,3)

=5,3

c)(-2,5).(-4).(-7,9)

=10.(-7,9)

=-79

d)(-0,375).\(4\frac{1}{3}\).(-2)³

=(-0,375).(-2)³.\(4\frac{1}{3}\)

=3.\(\frac{13}{3}\)

=13

Bài 1: Tìm x

a) Ta có: \(\dfrac{4}{3}:0.8=\dfrac{2}{3}:\left(0.1\cdot x\right)\)

\(\Leftrightarrow\dfrac{2}{3}:\left(\dfrac{1}{10}\cdot x\right)=\dfrac{4}{3}:\dfrac{4}{5}\)

\(\Leftrightarrow\dfrac{2}{3}:\left(\dfrac{1}{10}\cdot x\right)=\dfrac{4}{3}\cdot\dfrac{5}{4}=\dfrac{5}{3}\)

\(\Leftrightarrow x\cdot\dfrac{1}{10}=\dfrac{2}{3}:\dfrac{5}{3}=\dfrac{2}{3}\cdot\dfrac{3}{5}=\dfrac{2}{5}\)

\(\Leftrightarrow x=\dfrac{2}{5}:\dfrac{1}{10}=\dfrac{2}{5}\cdot10=\dfrac{20}{5}=4\)

Vậy: x=4

b) Ta có: \(\left|x\right|=-1.2\)

mà \(\left|x\right|\ge0\forall x\)

nên \(x\in\varnothing\)

Vậy: \(x\in\varnothing\)

Bài 2: Tính

a) Ta có: \(\left(-2.5\right)\cdot\left(-4\right)\cdot\left(-7.9\right)\)

\(=\left(2.5\cdot4\right)\cdot\left(-7.9\right)\)

\(=-7.9\cdot10=-79\)

b) Ta có: \(\left(-0.375\right)\cdot\dfrac{13}{3}\cdot\left(-2\right)^3\)

\(=\dfrac{3}{8}\cdot8\cdot\dfrac{13}{3}\)

\(=3\cdot\dfrac{13}{3}=13\)

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