Question

evaluate the expression.
-0.8 + 0.7 - 7 × -0.1
write your answer as an integer or a decimal. do not round.

Explanation:

Step1: Perform multiplication

First, we calculate the multiplication part of the expression. According to the order of operations (PEMDAS/BODMAS), we perform multiplication before addition and subtraction. So we calculate \(7\times(- 0.1)\).
\(7\times(-0.1)=- 0.7\)
But in the original expression, it is \(-7\times(-0.1)\), so \(-7\times(-0.1) = 0.7\) (because multiplying two negative numbers gives a positive result).

Step2: Perform addition and subtraction from left to right

Now we substitute the result of the multiplication back into the original expression. The original expression is \(-0.8 + 0.7-7\times(-0.1)\), after substituting the multiplication result, it becomes \(-0.8 + 0.7+0.7\) (since \(-7\times(-0.1) = 0.7\)).
First, calculate \(-0.8+0.7\):
\(-0.8 + 0.7=-0.1\)
Then, add \(0.7\) to the result:
\(-0.1+0.7 = 0.6\)

Answer:

\(0.6\)