Math Problem Statement

Evaluate (-3)^2 + (-2)^3 ÷ 2 + 15.

Solution

To solve the problem in Question 7:

Expression:
(3)2+(2)3÷2+15(-3)^2 + (-2)^3 \div 2 + 15

Step-by-Step Solution:

  1. Evaluate (3)2(-3)^2: (3)2=9(-3)^2 = 9

  2. Evaluate (2)3(-2)^3: (2)3=8(-2)^3 = -8

  3. Divide (8)÷2(-8) \div 2: 8÷2=4-8 \div 2 = -4

  4. Combine all terms: 9+(4)+159 + (-4) + 15

  5. Simplify the expression: 94+15=209 - 4 + 15 = 20

So, the correct answer is C) 20.

Would you like further clarification or details on any of these steps?


Here are some related questions for practice:

  1. How would the result change if the expression were (3)3+(2)3÷2+15(-3)^3 + (-2)^3 \div 2 + 15?
  2. What is the result of (4)2+(3)3÷3+10(-4)^2 + (-3)^3 \div 3 + 10?
  3. How does the answer change if we use (+3)2(+3)^2 instead of (3)2(-3)^2?
  4. What is the answer if you divide by 44 instead of 22 in the expression?
  5. How would you solve if the last term was subtracted instead of added, such as +(15)+ (-15)?

Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to ensure accurate results.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Exponents
Division
Addition

Formulas

a^b (Exponentiation)
Division (÷)
Addition (+)

Theorems

PEMDAS/BODMAS Order of Operations

Suitable Grade Level

Grades 6-8