Equivalent does not mean total. In mathematics, equivalent refers to two expressions or terms that have the same value, but they may not be the same in every aspect. Total, on the other hand, implies a complete or entire amount or quantity.
To further understand this concept, let’s consider an example. Suppose you have a bag of marbles. The bag contains 10 red marbles and 10 blue marbles. If we say that 10 red marbles are equivalent to 10 blue marbles, it means that both groups of marbles have the same total number, which is 10. However, the red marbles are not the same as the blue marbles, they are just equivalent in quantity.
Another example can be seen with fractions. Let’s say we have the fraction 1/2. This fraction is equivalent to 2/4 because when simplified, both fractions represent the same value of half. The numerator and denominator may be different, but their values are equivalent.
In terms of mathematical operations, we can also see the concept of equivalence without totality. For instance, the equation 2 + 3 = 5 is an example of equivalence because both sides of the equation have the same value of 5. However, the equation does not represent the total of all numbers, but rather the equivalence between the sum of 2 and 3 and the number 5.
Equivalent in mathematics means that different terms and expressions with a similar value are considered equal, but it does not imply totality. Equivalent expressions or terms may have the same value but can differ in other aspects such as composition, arrangement, or form.