Simplify : `5xx 10^(6)+4xx 10^(3)+5xx 10^(2)xx (1)/(10)`

Answer

To simplify the expression \( 5 \times 10^6 + 4 \times 10^3 + 5 \times 10^2 \times \frac{1}{10} \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ 5 \times 10^6 + 4 \times 10^3 + 5 \times 10^2 \times \frac{1}{10} \]

### Step 2: Simplify \( 5 \times 10^2 \times \frac{1}{10} \)
The term \( 5 \times 10^2 \times \frac{1}{10} \) can be simplified:
\[ 5 \times 10^2 \times \frac{1}{10} = 5 \times \frac{10^2}{10} = 5 \times 10^{2-1} = 5 \times 10^1 = 5 \times 10 \]

### Step 3: Rewrite the expression with the simplified term
Now, we can rewrite the expression:
\[ 5 \times 10^6 + 4 \times 10^3 + 5 \times 10 \]

### Step 4: Convert each term to the same power of 10
To add these terms, we can express them in terms of the same power of 10. The highest power here is \( 10^6 \). We can rewrite the other terms:
- \( 4 \times 10^3 = 4 \times 10^3 \times \frac{10^3}{10^3} = 4 \times 10^6 \div 1000 = 0.004 \times 10^6 \)
- \( 5 \times 10 = 5 \times 10^1 \times \frac{10^5}{10^5} = 0.00005 \times 10^6 \)

So we have:
\[ 5 \times 10^6 + 0.004 \times 10^6 + 0.00005 \times 10^6 \]

### Step 5: Combine the terms
Now we can combine the terms:
\[ (5 + 0.004 + 0.00005) \times 10^6 = 5.00405 \times 10^6 \]

### Final Answer
Thus, the simplified expression is:
\[ 5.00405 \times 10^6 \]