To solve the expression \( \frac{10}{4} + 5(4) \), 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)).

Here are the steps:

1. **Division**: First, perform the division \( \frac{10}{4} \):
   \[
   \frac{10}{4} = 2.5
   \]

2. **Multiplication**: Next, perform the multiplication \( 5(4) \):
   \[
   5 \times 4 = 20
   \]

3. **Addition**: Finally, add the results of the previous steps:
   \[
   2.5 + 20 = 22.5
   \]

Therefore, \( N \) is:
\[
N = 22.5
\]

Do you want more details or have any questions?

Here are some related questions:

1. What is the order of operations and why is it important?
2. How would the result change if the expression was written as \( \frac{10}{(4+5)} \times 4 \)?
3. What is the difference between multiplication and addition in mathematical expressions?
4. How do you handle complex expressions with multiple parentheses?
5. Can you explain why division and multiplication are performed from left to right?
6. How would the expression change if there were exponents involved?
7. What are some common mistakes when solving expressions with multiple operations?
8. How can you check your work to ensure the expression is solved correctly?

**Tip**: Always double-check the order of operations when solving expressions to avoid mistakes.

Learn how to solve the expression 10 divided by 4 plus 5 times 4 step-by-step. This problem covers the order of operations in arithmetic, including division, multiplication, and addition. Suitable for students in Grades 6-8.

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