Algebra negative and positive rules11/24/2023 Since a whole number exponent larger than 1 tells us the number of times to multiply the base by itself, it also tells us whether or not we will have a positive or negative result. 10 comments ( 203 votes) Upvote Downvote Flag Show more. When we get an odd number (1,3,5,7,9.) of negative factors the opposite is true and we will get a negative product. Therefore an even (2,4,6,8,10.) number of negative factors produces a positive product. If a positive and a negative number are multiplied or divided, the answer is negative. Recall that when multiplying with negative numbers, each pair of negatives yields a positive product. The reason here is that our exponent (3) is odd. Multiplying and dividing negative numbers positive × positive positive, positive : positive positive positive × negative negative, positive. If we work through the example above, we see that we get the same answer whether or not we use parentheses around the base. it is a number with a plus sign (+) which is to indicate a positive quantity or by a minus sign (-) to indicate a negative quantity. Since the negative is wrapped inside of the parentheses, both are now part of the base. Positive and Negative Number Rules Learn The EASY WAY TabletClass Math 397K subscribers Subscribe 2. Remember that adding a negative number is the same as subtracting a positive one. For example: (7) + 4 3 6 + (9) 3 (3) + 7 4 5 + (3) 2 The sign will be that of the larger number. Now let’s think about the other scenario. To get the sum of a negative and a positive number, use the sign of the larger number and subtract. In this case, we would raise 2 to the 2nd power first, and then multiply the result by -1. From the order of operations, we know that we must perform exponent operations before we multiply. We can really think about: -2 2 as -1 x 2 2. It won’t give us a different answer in every scenario, but it’s important to know what’s causing a different answer. We can see from the above example that parentheses around a negative base do make a difference. If we are working with a negative number raised to a power, the base does not include the negative part unless we use parentheses: Multiplication and division (positive) × (positive) positive (negative) × (negative) positive (positive) × (negative) negative (negative) × (positive). When we work with exponents, we need to be extra cautious when dealing with negative numbers.
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