Answer:
- to the nearest thousand: 0
- to the nearest thousandth: 0.869
Explanation:
Consider the digit in the place to the immediate right of the place you're rounding to. If that digit is 4 or less, set that digit and all digits to its right to zero.
In the number 0000.8693, the digit in the hundreds place (to the right of the thousands place) is 0, so that and all other digits get set to 0:
0000.0000 . . . or simply 0
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The digit in the ten-thousandths place, to the right of the thousandths place, is 3. Since that is not 5 or greater, we set it to zero. There are no more digits to the right of it, so we're done:
0.8693 rounds to 0.869