To solve the expression:

\[ 5 \times 100 + 3 \times 1 + 6 \times \frac{1}{10} + 2 \times \frac{1}{100} \]

Let's break it down step by step:

1. \( 5 \times 100 = 500 \)
2. \( 3 \times 1 = 3 \)
3. \( 6 \times \frac{1}{10} = 0.6 \)
4. \( 2 \times \frac{1}{100} = 0.02 \)

Now, add all these results together:

\[ 500 + 3 + 0.6 + 0.02 = 503.62 \]

So, the final answer is **503.62**.

Would you like further details or have any questions? Here are 5 related questions you might find interesting:

1. What would the result be if you changed \( 6 \times \frac{1}{10} \) to \( 6 \times \frac{1}{100} \)?
2. How does the value of the expression change if you double each coefficient?
3. Can you break down how fractions like \( \frac{1}{10} \) are converted to decimals?
4. What happens to the expression if you switch the order of the operations?
5. How would the answer change if the last term was \( 2 \times \frac{1}{1000} \) instead of \( \frac{1}{100} \)?

**Tip:** When solving mathematical expressions, always follow the order of operations and simplify step by step for accuracy.

Learn how to solve the arithmetic expression 5 x 100 + 3 x 1 + 6 x 1/10 + 2 x 1/100 with a detailed step-by-step solution. This problem covers key concepts in arithmetic, including multiplication, addition, and decimal conversion. Suitable for students in Grades 5-6.

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