Evaluate the expression.
$-0.4-0.5--0.7 \div-7$
Write your answer as an integer or a decimal. Do not round.

First, perform the division: − 0.7 ÷ − 7 = 0.1 .
Substitute the result into the expression: − 0.4 − 0.5 − 0.1 .
Perform the first subtraction: − 0.4 − 0.5 = − 0.9 .
Perform the final subtraction: − 0.9 − 0.1 = − 1.0 .
The final answer is − 1.0 ​ .

Explanation

Understanding the Expression We need to evaluate the expression − 0.4 − 0.5 − ( − 0.7 ÷ − 7 ) . To do this, we will follow the order of operations.

Evaluating the Division First, we evaluate the division: − 0.7 ÷ − 7 . A negative divided by a negative is a positive, so we have − 0.7 ÷ − 7 = 0.1 .

Substituting the Result Now, we substitute this result back into the original expression: − 0.4 − 0.5 − ( 0.1 ) .

Performing Subtractions Next, we perform the subtractions from left to right: − 0.4 − 0.5 = − 0.9 . So the expression becomes − 0.9 − 0.1 .

Final Subtraction Finally, we subtract 0.1 from − 0.9 : − 0.9 − 0.1 = − 1.0 .


Examples
Understanding how to evaluate expressions with negative numbers and division is crucial in many real-world scenarios. For instance, consider tracking financial transactions where you have expenses (negative values) and income (positive values). Evaluating such expressions helps you determine your net balance. Similarly, in scientific calculations, you might encounter expressions involving negative temperatures or electrical charges. Accurately evaluating these expressions ensures correct results and informed decision-making.

Answered by GinnyAnswer | 2025-07-07

The evaluated expression is − 1.0 . First, we perform the division which results in 0.1 , then substitute this into the expression and carry out the subtractions. The final answer is − 1.0 .
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Answered by Anonymous | 2025-07-30