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) \(150\)