It is known that |a-1| and |b-2| are opposite numbers, and c is the rational number with the smallest absolute value.

It is known that |a-1| and |b-2| are opposite numbers, and c is the rational number with the smallest absolute value.

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What is the meaning of absolute value, inverse number and reciprocal in the range of rational number?

Absolute value of real number:
Represents the distance from the origin of a number of points (regardless of direction).
Reverse number:
Only two numbers with different symbols but equal absolute values are called opposite numbers
Reciprocal:
If the product of two real numbers is 1, then the two numbers are reciprocal. Formally, the reciprocal of a fraction is its numerator denominator exactly reversed. Essentially, the product of two reciprocal numbers is 1
A little long. Thank you.

Absolute value of real number:
Represents the distance (regardless of direction) that a point of a number is from the origin.
Reverse number:
Only two numbers with different symbols but equal absolute values are called opposite numbers
Reciprocal:
If the product of two real numbers is 1, then the two numbers are reciprocal. Formally, the reciprocal of a fraction is its numerator denominator exactly reversed. Essentially, the product of two reciprocal numbers is 1
A little long. Thank you.

Absolute value of real number:
Represents the distance from the origin of a number (regardless of direction).
Reverse number:
Only two numbers with different symbols but equal absolute values are called opposite numbers
Reciprocal:
If the product of two real numbers is 1, then the two numbers are reciprocal. Formally, the reciprocal of a fraction is its numerator denominator exactly reversed. Essentially, the product of two reciprocal numbers is 1
It's a little long. Thank you.