rules of integers [Music] integers are like whole numbers but they also include negative numbers but still no fractions allowed so integers can be negative [Music] can be positive or zero [Music] we can put that all together like this integers examples negative 16 negative 3 0 1 and 198 are all integers but numbers like one-half 1.1 and 3.5 are not integers rules in adding integers positive plus positive equals positive negative plus negative equals negative negative plus positive equals subtract then take the sign of the larger number [Music] examples positive plus positive equals positive 8 plus 7 equals fifteen negative plus negative equals negative negative sixteen plus negative nine equals negative twenty-five negative plus positive subtract then take the sign of the larger absolute value negative 4 plus 9 equals positive five four seven plus negative eleven equals negative four rules in subtracting integers remember k f c keep it the first number stays the same flip it change the subtraction sign to addition change it changing the second integer to its opposite then add using addition rules examples seven minus negative five equals [Music] keep the number seven flip the subtraction sign to addition sign change negative five to positive five seven plus positive five equals positive twelve [Music] another examples negative seven minus five equals [Music] keep the number negative seven flip the subtraction sign to addition sign [Music] change the positive five to negative five negative seven plus negative five equals negative twelve seven minus five equals keep the number 7 flip the subtraction side to addition sign change the positive five to negative five seven plus negative five equals positive two negative seven minus negative five equals [Music] keep the negative seven flip the subtraction side to addition sign negative five change it to positive five negative seven plus positive five equals negative two remember if the signs are the same add and take the sign if the signs are different subtract then take the sign of the larger number rules in multiplying and dividing integers if the signs are the same your answer will be positive if the signs are different [Music] your answers will be negative [Music] examples positive same signs answer is positive 3 times 3 equals 9 negative 3 times negative three equals nine negative different signs answer is negative [Music] three times negative three equals negative nine negative three times positive three equals negative nine [Music] same here in division positive same signs answer is positive [Music] 12 divided by six equals twelve two negative twelve divided by negative six equals two negative different signs answer is negative [Music] 12 divided by negative 6 equals negative 2 negative 12 divided by six equals negative two [Music] that's it for today thank you for watching [Music]