Let's solve the expression step by step:

\[
5.02 - 0.4(5 + 0.05)
\]

1. First, calculate the expression inside the parentheses:
   \[
   5 + 0.05 = 5.05
   \]

2. Now, multiply \(0.4\) by \(5.05\):
   \[
   0.4 \times 5.05 = 2.02
   \]

3. Finally, subtract \(2.02\) from \(5.02\):
   \[
   5.02 - 2.02 = 3.00
   \]

Thus, the result is:
\[
\boxed{3.00}
\]

Would you like more details or have any questions? Here are 5 related questions for practice:

1. Simplify: \(6.5 - 0.3(8 + 0.1)\).
2. Solve: \(4.5 + 0.7(3 + 0.2)\).
3. What is \(2.8 - 0.5(6 + 0.4)\)?
4. Simplify the expression: \(10 - 0.6(4 + 0.25)\).
5. Evaluate: \(7.01 - 0.5(2.5 + 0.1)\).

**Tip:** Always follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step-by-step solution to the arithmetic expression 5.02 - 0.4(5 + 0.05). Learn how to use the order of operations (PEMDAS) to simplify the expression. Suitable for students in Grades 6-8.

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