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Suppose x and y are two rational number.Then x = p/q and y = r/s where p, q, r and s are integers, with q and s being non-zero.
Then x - y = p/q - r/s = pq/qs - qr/qs = (pq - rs)/qs.
The signs of x and y do not matter, in so far as their signs will be used to determine the signs of p,q, r and s.
What else can I help you with?
IF you are adding two rational numbers with different signs?
Then you are adding two rational numbers with different signs! No big deal!
How do you add numbers with different signs?
You add all the numbers with + signs and subtract all that have minus signs.
What happens if you subtract a positive and a negative numbers?
In addition different signs you subtract and give the sign of the bigger number. Ex: 6+(-8)= -14
What are the rules for adding integers and rational numbers?
When adding integers, if the numbers have the same sign, you add their absolute values and keep the sign. If they have different signs, you subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. For rational numbers, the process is similar: if the fractions have the same denominator, you add the numerators while keeping the denominator. If they have different denominators, you first find a common denominator before proceeding with the addition.
How do you add or subtract integers with a different sign?
Adding two numbers with different signs means subtracting the two absolute integers (without sign) and vice versa.
IF you are adding two rational numbers with different signs?
Then you are adding two rational numbers with different signs! No big deal!
How do you add numbers with different signs?
You add all the numbers with + signs and subtract all that have minus signs.
When multiplying and dividing rational numbers how do you know if the answer will be a negative?
It the two rational numbers have different signs, then the answer will be negative, otherwise it will be positive.
What do you notice about the quotient of two rational numbers with different signs?
The quotient is negative.
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)
Is the ratio of two rational numbers always positive?
No; depends on the signs of the rational numbers.
What happens if you subtract a positive and a negative numbers?
In addition different signs you subtract and give the sign of the bigger number. Ex: 6+(-8)= -14
What are the rules for adding integers and rational numbers?
When adding integers, if the numbers have the same sign, you add their absolute values and keep the sign. If they have different signs, you subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. For rational numbers, the process is similar: if the fractions have the same denominator, you add the numerators while keeping the denominator. If they have different denominators, you first find a common denominator before proceeding with the addition.
When is the sum of two rational numbers with different signs positive?
The sign of the sum is positive when the absolute value of the positive addend is greater than that of the negative addend.
How do you add or subtract integers with a different sign?
Adding two numbers with different signs means subtracting the two absolute integers (without sign) and vice versa.
What is the rule for dividing rational numbers with different signs?
The numerical value is the same as the quotient of the two positive equivalents but the sign is always negative.
How do you know whether you should add or subtract the value of the two numbers?
By the signs: 2+2(Add) 2-2(Subtract) +=add -=subtract
