Math Problem Statement

Evaluate: (-3 + 10.5) ÷ (-1.5 + 3^2)

Solution

Let's evaluate the given expression:

(3+10.5)÷(1.5+32)(-3 + 10.5) \div (-1.5 + 3^2)

Step 1: Simplify each part inside the parentheses.

  1. Simplify 3+10.5-3 + 10.5: 3+10.5=7.5-3 + 10.5 = 7.5

  2. Simplify 1.5+32-1.5 + 3^2: 32=93^2 = 9 So, 1.5+9-1.5 + 9: 1.5+9=7.5-1.5 + 9 = 7.5

Step 2: Divide the simplified results.

7.5÷7.5=17.5 \div 7.5 = 1

The answer is:

B) 1

Would you like further explanation or have any questions? Here are some related questions:

  1. How do you evaluate expressions involving division and addition/subtraction?
  2. How do you simplify expressions with exponents?
  3. Why is it important to follow the order of operations?
  4. How do parentheses affect calculations in mathematical expressions?
  5. How can negative numbers impact division and addition results?

Tip: Always simplify expressions inside parentheses first before performing other operations!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PEMDAS)
Exponents

Formulas

Order of Operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Theorems

Properties of Division
Exponentiation Rules

Suitable Grade Level

Grades 6-8