Answer :

To find which decimal is equivalent to 17.100, we need to understand what each option represents in terms of decimal values.

  1. 17.100: This number is the original one given. The decimal number 17.100 is equivalent to 17.1 because numbers in decimal form like 17.100 and 17.1 actually represent the same value. Trailing zeros after a decimal point do not affect the value of the number.

  2. 17.017: This number is different from 17.100 because there is a '017' fractional part instead of '100'.

  3. 17.010: Similar to the previous option, this number represents a different value (17.010) compared to 17.100 because it has '010' as the fractional part after the decimal point.

  4. 17.1000: This number is actually equivalent to 17.100 for the same reason mentioned earlier about the trailing zeros. Trailing zeros do not change the value in decimal representation, so 17.1000 is the same as 17.1 or 17.100.

  5. 10.1: This number represents a completely different value compared to 17.100.

Therefore, from the given options, option 4, 17.1000, is equivalent to 17.100.