Answer
-1
Work Step by Step
-$\frac{1}{10}$- $\frac{9}{10}$
Subtraction is changed to addition
Negative $\frac{9}{10}$ is changed to its opposite (-$\frac{9}{10}$)
-$\frac{1}{10}$ + (-$\frac{9}{10}$)
To add two negative numbers , first add there absolute values
|-$\frac{1}{10}$| = $\frac{1}{10}$ and |-$\frac{9}{10}$| = $\frac{9}{10}$
$\frac{1}{10}$ + $\frac{9}{10}$ = $\frac{10}{10}$ =1
Now write the negative sign in front of 1
-$\frac{1}{10}$- $\frac{9}{10}$ = -1