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The 4 is in the thousands place.

The 1 is in the hundreds place.

The 5 is in the tens place.

The 2 is in the "ones" place.

Because you are rounding to the nearest hundred, you want to round at the 1.

4152

Look at the number to the right of the 1. If it is less than 5, you keep the number as is. If it is greater than or equal to 5, you round up to the next digit. The number to the right happens to be a 5 (in the tens place). Therefore you round the 1 up to a 2.

4152 <--- you round the 41 to a 42, because the 5 is greater than or equal to 5.

The answer is 4200.

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Q: What is 4152 to the nearest hundred?
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