THE REMAINDER Meaning and
Definition
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The remainder refers to what is left or remains after a certain amount or part has been taken or subtracted. It represents the leftover or the part that has not been used or accounted for. In mathematical terms, the remainder is the value obtained after dividing one number by another.
In arithmetic, when dividing two numbers, the remainder represents the amount that remains after the largest possible whole number of equal parts has been subtracted. For example, when dividing 12 by 5, the result is 2 with a remainder of 2 since 5 can go into 12 twice leaving 2 left over. The remainder can also be expressed as a fraction or decimal, depending on the context.
Similarly, in algebraic division, the remainder is the result obtained when dividing a polynomial by another polynomial. It represents the remaining terms that cannot be further simplified or divided evenly. In this case, the remainder could be zero, indicating that the polynomial division is exact, or a non-zero value indicating that there is a leftover portion.
In general usage, "the remainder" can refer to what is left or remaining out of a larger group or whole. It highlights the concept of something left behind or not included in the original set. For instance, when dividing a group of 30 objects into groups of 7, the remainder would be the number of objects that cannot be evenly divided into complete groups of 7.
Common Misspellings for THE REMAINDER
Etymology of THE REMAINDER
The word "remainder" originated from the Old French term "remainder" and the Latin term "remānēre". The Old French term derived from the Latin verb "remānēre", composed of the prefix "re-" (meaning "back") and the verb "mānēre" (meaning "to stay" or "to remain"). Over time, the Latin term "remānēre" evolved into "remaindre" in Old French, later becoming "remainder" in Middle English. The term "remainder" refers to what is left after a part has been taken away or used, essentially denoting the remaining or the leftover portion of something.
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