Remainder addition. Let A and B be two natural numbers. Suppose that, when A is divided by n. the remainder is a, and, when B is divided by n, the remainder is b. How does the remainder when A + B is divided by n compare with the remainder when a + b is divided by n? Try some specific examples first. Can you prove your answer?
Remainder addition. Let A and B be two natural numbers. Suppose that, when A is divided by n. the remainder is a, and, when B is divided by n, the remainder is b. How does the remainder when A + B is divided by n compare with the remainder when a + b is divided by n? Try some specific examples first. Can you prove your answer?
Remainder addition. Let A and B be two natural numbers. Suppose that, when A is divided by n. the remainder is a, and, when B is divided by n, the remainder is b. How does the remainder when
A
+
B
is divided by n compare with the remainder when
a
+
b
is divided by n? Try some specific examples first. Can you prove your answer?
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Understanding Fractions, Improper Fractions, and Mixed Numbers; Author: Professor Dave Explains;https://www.youtube.com/watch?v=qyW2mWvvtZ8;License: Standard YouTube License, CC-BY