Question

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Explanation:

To solve this, we need to analyze the expanded forms. Let's assume the first line \(20,000 + 3,000 + 800 + 20 + 9\) represents the base car price, and the second line represents the upgrade cost. We need to check which second line, when added to the first, makes sense (probably by having correct place - value addition).

Step 1: Analyze the place values

The first number in the expanded form is in the ten - thousands place (\(20,000\)), then thousands (\(3,000\)), hundreds (\(800\)), tens (\(20\)), and ones (\(9\)). For the upgrade part, we need to check the place values (thousands, hundreds, tens, ones etc.).

Let's consider the last option:

• Base price expanded form: \(20,000+3,000 + 800+20 + 9\)
• Upgrade expanded form: \(0+1,000 + 900+90 + 9\)

When we add the two expanded forms together, for the thousands place: \(3,000 + 1,000=4,000\)
For the hundreds place: \(800+900 = 1700\)
For the tens place: \(20+90=110\)
For the ones place: \(9 + 9=18\)
And the ten - thousands place remains \(20,000\). This follows the rules of place - value addition.

Let's check the other options:

• Option 1: Upgrade has \(0\) in hundreds and \(90\) in tens but \(0\) in hundreds of the upgrade doesn't match with a proper addition (if we assume the upgrade should add to hundreds, tens, etc. in a meaningful way). The upgrade's hundreds place is \(0\) which would not add properly to the base's \(800\) if we want to increase the price in a logical upgrade - related way.
• Option 2: Upgrade has \(900\) in hundreds but \(0\) in tens. The base has \(20\) in tens, and the upgrade has \(0\) in tens, which is not a proper addition for a typical upgrade (a car upgrade would likely add to multiple place values including tens).
• Option 3: The base's thousands place is \(3,000\) but the upgrade's thousands place is \(0\) and hundreds place of the base is \(800\) while the upgrade's hundreds place is \(100\), which is not a logical upgrade (the upgrade's thousands place is too low and hundreds place is too low compared to a reasonable upgrade).

So the correct option is the last one: \(20,000 + 3,000 + 800 + 20 + 9\) \(\underline{\quad\quad0 + 1,000 + 900 + 90 + 9}\)

Answer:

The correct option is the last one (the fourth option in the list): \(20,000 + 3,000 + 800 + 20 + 9\) \(\underline{\quad\quad0 + 1,000 + 900 + 90 + 9}\)