📌 Integers: Multi-Step Problems

An additive inverse of a number is another number that, when added to it, yields zero. For example, the additive inverse of 7 is -7 because 7 + (-7) = 0.

Multiplying two negative numbers yields a positive result because multiplying by a negative number flips the sign on the number line. Reversing a negative direction twice turns it back into a positive direction (e.g., $(-1) \times (-1) = 1$).

Perform long division ($p \div q$) and track the remainders: if long division reaches a remainder of $0$, it is a terminating decimal (e.g., $\frac{3}{8} = 0.375$). If a remainder repeats, the quotient digits repeat indefinitely (repeating decimal, e.g., $\frac{5}{11} = 0.\overline{45}$). (Shortcut: A simplified fraction terminates if its denominator $q$ contains only $2$'s and/or $5$'s as prime factors.)