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ProfessorAh, what a lovely question! When you add two rational numbers with different signs, the sum will be positive if the absolute value of the number with the larger magnitude is greater. Just remember, there's always a bright side to every equation, and you're doing great exploring these mathematical wonders!
The sum of two rational numbers with different signs is positive when the absolute value of the number with the larger magnitude is greater than the absolute value of the number with the smaller magnitude. In other words, when the positive rational number has a greater value than the negative rational number, their sum will be positive. For example, if you add -3/4 and 1/2, the sum will be 1/4, which is positive.
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When adding two rational numbers with different signs the sum will be zero Is this aways sometimes or never true?
sometimes true (when the rational numbers are the same)
The product of two numbers with different signs is always a negative?
The product of negative number and a positive number is always a negative. The product of two positive numbers, or two negative numbers, is always a positive.
2 numbers that have the same absolute value but different signs?
It is impossible. The absolute value is always positive.
How do you figure out negative 24 multyplied by the fraction two thirds?
Consider that you have a negative times a positive, so the final result will be negative.Work out 24 x 2/3 and make sure the result is negative.When multiplying numbers, there are 2 different cases to think about with regard to the signs of the numbers:If the signs of the numbers are the same (positive and positive, or negative and negative) then the result will be positive;Otherwise if the signs are different (that is if one number is positive and the other is negative) the result will be negative.
What are the basic rules for multiplying and dividing sign numbers?
Temporarily ignore the signs and multiply or divide as usualIf signs of the two numbers to be multiplied or divided, add + sign to your answer. If signs are different, add - ( minus) to your answer.+ signs are optional-- a number without a sign is assumed to be positive.
