Why is 0. 1 equal to 0. 10? Briefly explain why.

Add "0" or remove "0" at the end of the decimal, and the size of the decimal remains the same.

They are the same number, but the accuracy of expression is different. 0. 1 means accurate to one tenth, and 0. 10 means accurate to one hundredth.

When we only learn precise decimals, we think this problem is redundant. 0. 1= 1/ 10,0. 10= 10/ 100。 However, the score of 10/ 100 is reduced to110. So the two values are exactly the same. Generally speaking, we think that the writing of 0. 10 is not the simplest decimal, so we don't think it is necessary to write the last zero.

However, when we learn approximate decimals, this situation is different.

Approximate decimals represent a range of values. In order to make our approximate decimal as accurate as possible, we require this numerical range to be as small as possible.

When rounding off the approximate value, the decimal 0. 1 may be 0. 1 of 0.05 of "quintile" or 0. 1 of "Fourth Hospital". Therefore, approximate decimal 0. 1 means that its exact value is between greater than or equal to 0.05 and less than 0. 15.