Consider the number 5601. If I switch the digits in the ones and hundreds place, what would be the resulting number?

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Multiple Choice

Consider the number 5601. If I switch the digits in the ones and hundreds place, what would be the resulting number?

Explanation:
The digits sit in place values: thousands, hundreds, tens, and ones. Swapping the digits in the ones and hundreds places means the 1 moves to the hundreds place and the 6 moves to the ones place, while the 5 and 0 stay in their places. So you get 5 (thousands), 1 (hundreds), 0 (tens), 6 (ones), which is 5106. You can check by breaking it down: 5601 = 5×1000 + 6×100 + 0×10 + 1, and after the swap it becomes 5×1000 + 1×100 + 0×10 + 6×1 = 5000 + 100 + 0 + 6 = 5106. The other options come from swapping different pairs of places or not swapping at all, so they don’t reflect swapping the ones and hundreds digits.

The digits sit in place values: thousands, hundreds, tens, and ones. Swapping the digits in the ones and hundreds places means the 1 moves to the hundreds place and the 6 moves to the ones place, while the 5 and 0 stay in their places. So you get 5 (thousands), 1 (hundreds), 0 (tens), 6 (ones), which is 5106.

You can check by breaking it down: 5601 = 5×1000 + 6×100 + 0×10 + 1, and after the swap it becomes 5×1000 + 1×100 + 0×10 + 6×1 = 5000 + 100 + 0 + 6 = 5106.

The other options come from swapping different pairs of places or not swapping at all, so they don’t reflect swapping the ones and hundreds digits.

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