While both "equal" and "equivalent" suggest similarity or sameness, there's a subtle yet important distinction. "Equal" emphasizes a precise, often mathematical, sameness in quantity, value, or degree. "Equivalent" implies a functional sameness; two things might be equivalent in their effect or purpose, even if their intrinsic properties differ.
Think of it this way: 1 + 1 is equal to 2. This means there's an exact numerical sameness. However, a $10 gift card might be equivalent to $10 in cash. They hold the same purchasing power, but are not the same thing.
Here are some examples to make it clearer:
Equal: "The two lines are equal in length." (meaning they have exactly the same length) /Translation: The lengths of two lines are exactly same.
Equivalent: "This online course is equivalent to a university semester." (meaning it provides the same amount of learning, although the delivery method is different) /Translation: This online course provides the same amount of learning as a university semester.
Equal: "Their scores were equal." (meaning both scores were identical) /Translation: Their scores were exactly same.
Equivalent: "The two job offers are roughly equivalent." (meaning both offers provide similar benefits even if the specific details are different) /Translation: The two job offers provide approximately same benefits.
Equal: "Five plus five is equal to ten." (meaning the mathematical equation is true) /Translation: The sum of five and five is ten.
Equivalent: "A pound of feathers is equivalent to a pound of lead in terms of weight." (meaning both weigh the same) /Translation: In terms of weight, the weight of one pound of feathers is same as the weight of one pound of lead.
Often, you can use either word and still be understood, but using the more precise word shows a better understanding of English nuances. Happy learning!