Let’s solve each of these expressions step-by-step:
a) (-28 - 18)
[
-28 - 18 = -46
]
b) (3.4 - 5.6)
[
3.4 - 5.6 = -2.2
]
c) (-0.9\left(-\frac{4}{9}\right))
[
-0.9 \times -\frac{4}{9} = 0.9 \times \frac{4}{9} = \frac{3.6}{9} = \frac{4}{10} = 0.4
]
d) (0(-7.8))
[
0 \times -7.8 = 0
]
e) (-\frac{2}{3} - 0.6)
Convert (0.6) to a fraction:
[
-0.6 = -\frac{6}{10} = -\frac{3}{5}
]
Finding a common denominator (15):
[
-\frac{2}{3} = -\frac{10}{15}
]
[
-\frac{3}{5} = -\frac{9}{15}
]
Now add the fractions:
[
-\frac{10}{15} - \frac{9}{15} = -\frac{19}{15}
]
f) (\frac{1}{(-\frac{3}{8})})
[
\frac{1}{-\frac{3}{8}} = -\frac{8}{3}
]
g) (0.24 \times \frac{1}{5})
Convert (0.24) to a fraction:
[
0.24 = \frac{24}{100} = \frac{6}{25}
]
Now multiply:
[
\frac{6}{25} \times \frac{1}{5} = \frac{6}{125}
]
h) (-1.5 / (-0.01))
[
\frac{-1.5}{-0.01} = \frac{1.5}{0.01} = 150
]
To summarize:
- a) (-46)
- b) (-2.2)
- c) (0.4)
- d) (0)
- e) (-\frac{19}{15})
- f) (-\frac{8}{3})
- g) (\frac{6}{125})
- h) (150)
