Simplify the expression below using the order of operations:

100 – 52 * 2 ÷ 5

To simplify the expression \( 100 - 52 \times 2 \div 5 \), we need to follow the order of operations, often remembered by the acronym **PEMDAS** (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Perform the multiplication and division first, from left to right.
   \[
   52 \times 2 = 104
   \]
   Now the expression becomes:
   \[
   100 - 104 \div 5
   \]
   
2. Next, perform the division:
   \[
   104 \div 5 = 20.8
   \]
   Now the expression becomes:
   \[
   100 - 20.8
   \]

3. Finally, perform the subtraction:
   \[
   100 - 20.8 = 79.2
   \]

So, the simplified expression is \( 79.2 \).

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. What is the order of operations for more complex expressions with parentheses?
2. How does the order of operations affect division and multiplication when both appear?
3. Can you explain what happens if we ignore the order of operations?
4. How would you handle negative numbers in a similar expression?
5. What is the difference between performing division with integers versus decimals?

**Tip**: Always remember to perform multiplication and division from left to right, even though they appear together in the same step of PEMDAS!

Simplify the expression below using the order of operations: 100 – 52 * 2 ÷ 5

Learn how to simplify the arithmetic expression 100 - 52 * 2 ÷ 5 using the order of operations. This step-by-step guide helps students understand the application of PEMDAS, covering multiplication, division, and subtraction. Perfect for students in Grades 6-8.

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