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This guide explains the rules for multiplying and dividing integers, focusing on how the signs affect the results. If the signs are the same, the answer is positive; if they are different, the answer is negative. The document also includes practical examples of multiplying integers and dividing them, as well as a contextual problem involving temperature rise over time. It illustrates how to calculate the temperature at 6 AM, given a constant increase per hour. Comprehensive rules and examples aid in mastering integer operations.
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State the rule for multiplying and dividing integers…. If the signs are the same, If the signs are different, the answer will be negative. the answer will be positive.
Different Signs Negative Answer What’s The Rule? 1. -8 * 3 4. 6 ÷ (-3) -24 -2 Start inside ( ) first 2. -2 * -61 5. - (20/-5) 122 - (-4) Same Signs Positive Answer 4 3. (-3)(6)(1) (-18)(1) 6. -18 Just take Two at a time 68
7. At midnight the temperature is 8°C. If the temperature rises 4°C per hour, what is the temperature at 6 am? How much does the temperature rise each hour? How long Is it from Midnight to 6 am? +4 degrees 6 hours (6 hours)(4 degrees per hour) Add this to the original temp. = 24 degrees 8° + 24° = 32°C
8. A deep-sea diver must move up or down in the water in short steps in order to avoid getting a physical condition called the bends. Suppose a diver moves up to the surface in five steps of 11 feet. Represent her total movements as a product of integers, and find the product. Multiply What does This mean? (11 feet) (5 steps) (55 feet) 5 * 11 = 55