Math Problem Statement

80÷2(8+2)

Solution

Let's solve the expression step by step:

The given expression is:

80÷2(8+2)80 \div 2(8 + 2)

  1. First, simplify inside the parentheses: 8+2=108 + 2 = 10

Now, the expression becomes:

80÷2×1080 \div 2 \times 10

  1. According to the order of operations (PEMDAS/BODMAS), multiplication and division should be performed from left to right. So, first, we divide:

80÷2=4080 \div 2 = 40

Now, the expression is:

40×1040 \times 10

  1. Finally, multiply:

40×10=40040 \times 10 = 400

So, the result is 400.

Would you like a detailed explanation of the steps? Feel free to ask if anything is unclear!


Here are 5 related questions you can explore:

  1. What is the order of operations in PEMDAS/BODMAS?
  2. How does parentheses affect the evaluation of mathematical expressions?
  3. What happens if you change the order of division and multiplication in the original expression?
  4. How would you solve a similar expression with more complex terms?
  5. Can you simplify expressions with multiple operations in different orders?

Tip: Always simplify inside parentheses first to avoid confusion in multi-step problems!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Arithmetic Expressions

Formulas

PEMDAS
BODMAS

Theorems

Order of Operations

Suitable Grade Level

Grades 5-7