It is -1 or 1 because they are both integers
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The closest integer to left of 11.7 on the number line is 11.
-132
The closest integer to the left of 4.7 on the number line is 4. Since 4.7 is closer to 5 than it is to 4, the integer to the left of 4.7 is 4. This is because integers are whole numbers without any decimal or fractional parts, so the closest integer to the left of 4.7 is 4.
The integer/whole number closet to 0.1 is zero. If you can use decimal numbers, you will always be able to come up with a number closer to 0.1 than anyother number (exept 0.1 itself). For example 0.100000001 is very close to 0.1, but 0.10000000000000001 is even closer.
The way the number line is usually drawn, the greatest integer is the one that is to the right of all the others.