Math Problem Statement

4+6÷9-4

Solution

To solve the expression 4+6÷944 + 6 \div 9 - 4, we need to follow the order of operations (PEMDAS/BODMAS), which dictates the sequence: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Step-by-step Solution:

  1. Division first: 6÷9=69=230.676 \div 9 = \frac{6}{9} = \frac{2}{3} \approx 0.67

  2. Substitute back into the expression: 4+0.6744 + 0.67 - 4

  3. Addition and Subtraction from left to right: 4+0.67=4.674 + 0.67 = 4.67 4.674=0.674.67 - 4 = 0.67

Final Answer:

0.67\boxed{0.67}

Would you like more details on this calculation or have any questions?

Here are 5 related questions for further practice:

  1. What is the value of 8+5÷1028 + 5 \div 10 - 2?
  2. How would you solve 104+8÷210 - 4 + 8 \div 2?
  3. Calculate 15÷3+2×5715 \div 3 + 2 \times 5 - 7.
  4. What is 7+6×237 + 6 \times 2 - 3?
  5. If you have 12÷6+5×212 \div 6 + 5 \times 2, what is the result?

Tip: Always remember to perform multiplication and division before addition and subtraction in mathematical expressions.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PEMDAS/BODMAS)

Formulas

Division: a ÷ b
Addition: a + b
Subtraction: a - b

Theorems

Order of Operations

Suitable Grade Level

Grades 5-7