To find two numbers from the provided list that sum to -2.6, we first need to express -2.6 in a fraction for easier calculations.
-2.6 can be written as -26/10 or simplified as -13/5.
Now let's see if we can find two numbers from your list that add up to -13/5.
Here’s the list of numbers with their fractional equivalents:
- \( 0.7 = \frac{7}{10} \)
- \( -\frac{14}{5} \)
- \( 0.3 = \frac{3}{10} \)
- \( 1.0 = \frac{10}{10} \)
- \( 0.2 = \frac{2}{10} \)
- \( -2 \frac{9}{10} = -\frac{29}{10} \)
- \( 0.8 = \frac{8}{10} \)
- \( -3 \frac{3}{10} = -\frac{33}{10} \)
- \( -3 \frac{2}{5} = -\frac{17}{5} \)
- \( -\frac{18}{5} \)
Now, let’s check combinations:
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Combine \( -\frac{14}{5} \) with \( 0.8 = \frac{8}{10} = \frac{4}{5} \): \[ -\frac{14}{5} + \frac{4}{5} = -\frac{10}{5} = -2 \] (Not -2.6)
-
Combine \( -\frac{14}{5} \) with \( -\frac{18}{5} \): \[ -\frac{14}{5} + -\frac{18}{5} = -\frac{32}{5} = -6.4 \] (Not -2.6)
-
Combine \( -\frac{14}{5} \) with \( 0.3 = \frac{3}{10} \) (which is equivalent to \( \frac{6}{10} \)): \[ -\frac{14}{5} + \frac{3}{10} = -\frac{28}{10} + \frac{3}{10} = -\frac{25}{10} = -2.5 \] (Not -2.6)
-
Combine \( -\frac{14}{5} \) with \( 0.2 = \frac{2}{10} \): \[ -\frac{14}{5} + \frac{2}{10} = -\frac{28}{10} + \frac{2}{10} = -\frac{26}{10} = -2.6 \]
Thus, the two numbers that sum to -2.6 are:
-14/5 and 0.2.