Math Problem Statement

Evaluate the expression (8 / 2) + 2^3 - 5.

Solution

The problem asks to evaluate the expression:

(82)+235\left(\frac{8}{2}\right) + 2^3 - 5

Let's solve this step-by-step.

Step 1: Simplify 82\frac{8}{2}

82=4\frac{8}{2} = 4

Step 2: Simplify 232^3

23=2×2×2=82^3 = 2 \times 2 \times 2 = 8

Step 3: Put everything together

4+854 + 8 - 5

Step 4: Perform the addition and subtraction

4+8=124 + 8 = 12 125=712 - 5 = 7

Thus, the value of the expression is 77.

The correct answer is 7.

Would you like more details or have any questions?

Here are some related questions:

  1. How would this expression change if it included multiplication?
  2. What is the value of 246+12^4 - 6 + 1?
  3. How do you approach similar problems with exponents and fractions?
  4. What happens if you switch the order of operations here?
  5. How would the result change if you added parentheses around the last two terms?

Tip: Always remember to follow the order of operations: parentheses, exponents, multiplication/division (left to right), and then addition/subtraction (left to right).

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Exponents
Order of Operations

Formulas

a / b for division
a^b for exponentiation

Theorems

PEMDAS (Order of Operations)

Suitable Grade Level

Grades 5-7