Math Problem Statement

10⋅(11−8) 2 +(1+3) 2

Solution

Let's solve the expression step by step:

Expression:

10(118)÷2+(1+3)÷210 \cdot (11 - 8) \div 2 + (1 + 3) \div 2

  1. First, simplify inside the parentheses: \quad \text{and} \quad 1 + 3 = 4$$ Now, the expression becomes: $$10 \cdot 3 \div 2 + 4 \div 2$$
  2. Next, perform the multiplications and divisions: \quad \text{and} \quad 30 \div 2 = 15$$ $$4 \div 2 = 2$$ Now, the expression is: $$15 + 2$$
  3. Finally, add the results: 15+2=1715 + 2 = 17

Final Answer:

1717

Would you like more details on any specific step? Here are 5 related questions for further practice:

  1. What is the value of 12(145)÷3+(2+5)÷212 \cdot (14 - 5) \div 3 + (2 + 5) \div 2?
  2. How would you solve 7(96)÷3+(4+2)÷47 \cdot (9 - 6) \div 3 + (4 + 2) \div 4?
  3. Simplify the expression 5(104)÷2+(6+2)÷25 \cdot (10 - 4) \div 2 + (6 + 2) \div 2.
  4. Can you calculate 8(137)÷4+(1+7)÷28 \cdot (13 - 7) \div 4 + (1 + 7) \div 2?
  5. What is the result of 9(158)÷3+(2+6)÷29 \cdot (15 - 8) \div 3 + (2 + 6) \div 2?

Tip: Always perform operations inside parentheses first, then follow the order of operations (PEMDAS).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations

Formulas

Basic arithmetic operations: addition, subtraction, multiplication, and division

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 5-7