c) \( (-8) \cdot(-9)= \) f) \( (-100):(-25)= \) i) \( (+13) \cdot(-22)= \) l) \( (+34) \cdot(-45)= \) o) \( (+40) \cdot(-18)= \) r) \( (-126):(+6)= \)
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The Deep Dive
When multiplying two negative numbers, like \((-8)\) and \((-9)\), the result is positive because a negative times a negative equals a positive. So, \((-8) \cdot (-9) = 72\). This principle works for any two negative numbers and is a classic rule in mathematics that makes dealing with negatives easier! Dividing two negative numbers, such as \((-100)\) by \((-25)\), also results in a positive answer: \((-100) : (-25) = +4\). This consistent behavior in both multiplication and division is what helps keep equations balanced and understandable; understanding these rules can save you time and potential hassles in calculations!