Let's break down the expression step by step:

\[
-3^2 + 8 \times (-0.7)
\]

1. **Calculate the exponent**:  
   \(-3^2 = (-3) \times (-3) = 9\)  

   However, the negative sign in front of \(3^2\) applies after squaring:
   \[
   -3^2 = -(3 \times 3) = -9
   \]

2. **Multiplication**:  
   \(8 \times (-0.7) = -5.6\)

3. **Addition**:  
   Now, add the two results:
   \[
   -9 + (-5.6) = -9 - 5.6 = -14.6
   \]

So, the final result is:

\[
\boxed{-14.6}
\]

Do you need any further details or have questions?

### Related Questions:
1. What is the order of operations (PEMDAS)?
2. How does squaring a negative number differ from a negative squared?
3. How do you multiply decimals by whole numbers?
4. What are the rules for adding and subtracting negative numbers?
5. How would this change if parentheses were around \(-3\)?

**Tip**: Always apply the exponent before the negative sign unless parentheses specify otherwise.

Learn how to solve the expression -3² + 8 x (-0.7) step-by-step. This problem involves key mathematical concepts such as order of operations, exponents, and handling negative numbers, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation