$4 + 4.44 + 0.4 + 44.04 + 444 = $ $x$

### Concept & Strategy This question tests basic multi-term decimal addition. The core strategy relies on aligning numbers precisely around their decimal points or grouping them by place values to avoid calculation errors. ### Step-by-Step Solution * Align the numbers vertically by decimal points, adding trailing zeros where needed: * $004.00$ * $004.44$ * $000.40$ * $044.04$ * $444.00$ * Add the hundredths column: * $0 + 4 + 0 + 4 + 0 = 8$ * Add the tenths column: * $0 + 4 + 4 + 0 + 0 = 8$ * Add the units column: * $4 + 4 + 0 + 4 + 4 = 16$ (Write $6$, carry over $1$) * Add the tens column: * $0 + 0 + 0 + 4 + 4 + 1 \text{ (carry)} = 9$ * Add the hundreds column: * $4$ * Combining these values yields $496.88$. ### Exam Strategy & Shortcut **Segmented Mental Math:** Separate the whole numbers and the decimal portions: Whole numbers: $4 + 4 + 44 + 444 = 496$. Decimals: $0.44 + 0.4 + 0.04 = 0.88$. Combine the segments: $496 + 0.88 = 496.88$. This rapid mental separation allows you to bypass complex column carries and spot option (c) instantly. ### Common Pitfall Misaligning single digits like $4$ or $0.4$ under the tens or hundredths columns is a frequent mistake when racing against the clock. Padding whole numbers with `.00` guarantees absolute accuracy. ### Final Answer **Therefore, the correct answer is $496.88$.**