We are given 368,360 and we are asked to round it off to the nearest ten thousand (the underlined digit is in the ten thousands' place).
When rounding off numbers, we need to analyze the digit to the right of the place value we are rounding off to (the underline digit in this case). When the digit is 0, 1, 2, 3, or 4, we round down by keeping the underlined digit and making all other digits to its right zero. But if the digit to the right is 5, 6, 7, 8, or 9, then we round up by adding 1 to the underlined digit and making all digits to its right zero.
In this case, the digit to the right of the underlined digit is 3. This means that we round down. So, we keep the 8 and change 360 to 000.
So the answer is 368,000.