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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.
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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
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.
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
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
What is the difference between subtracting with regrouping in whole numbers and subraction with regrouping in fractions?
We look at the signs of numbers when we need to combine them. We subtract only if numbers have different signs, otherwise we add them. So that, if we have in an expression several positive and negative numbers, we prefer to group numbers with the same sign and add them in order to subtract just once. While with fractions we like to group fractions with the same denominator first, and after that we can combine all fractions by finding their LCD.
