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Multiplying and dividing integers is real easy. All you have to do is do regular dividing and multiplying keeping in mind these simple rules: RULES: 1: When multiplying or dividing integers, when the numbers are a positive, positive they equal a positive. When the numbers are negative, negative they equal a positive. In other words, same signs equal positive. 2: This rule is very similar to the rule above. The only change is that when the signs are different, they equal a negative. ( negative, positive= negative, positive, negative= negative.) Please correct me if I'm wrong.
Multiply integers- my notes from class
positive x positive= positive
positive x negative= negative
negative x negative= positive
Divide integers- again my notes from class
positive divided by a positive= positive
negative divided by a negative= positive
negative divided by a positive= negative
Dividing integers are simple if the number has a different sign than the other it is always negative but if they have the same sign its always positive
ex. -20/5=-4
ex. -20/-4=-5
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What is the rule in comparing a set of fractions?
the top adds what the bottom adds. the top subtracts what the bottom subtracts. the top divides what the bottom divides. the top multiplies what the bottom multiplies.
What multiplies to 240 and adds to 4?
244
Is the divides relation on the set of positive integers antisymmetric?
No it is not.
Is the divides relation on the set of positive integers is reflexive?
No, it is not.
Is the divides relation on the set of positive integers symmetric?
No, it is not.
What method do bacteria use to grow?
Bacteria multiplies by binary fission, that is a single cell divides into two.
Is there a difference between multiplying and dividing integers?
Multiplying is the opposite of dividing, whether it be using integers or other numbers and variables. Technically, multiplying and dividing integers is different, but the two processes are very strongly related to each other. For example, if one multiplies two and two together, one gets four as an answer. If one then divides four by two, one gets two. The multiplication of the 2 was reversed by the division of the 2.
What are two cosecutive positive odd integers whose product is 35?
List all the combination of positive integers that multiplies into 35, then you will see right away
Is the divides relation on the set of positive integers transitive?
Yes. Suppose x divides y then there exist an integer p such that y = px. Suppose y divides z then there exist an integer q such that z = qy. Therefore z = q*px = qp*x Since p and q are integers then pq is an integer and therefore x divides z. That is to say: if x divides y and y divides z, then x divides z.
What is the largest integer that divides without remainder into a set of integers?
The greatest common factor
What is the greatest integer that divides two integers?
The Greatest (or Highest) Common Factor - GCF or HCF.
What adds up to 12 and multiplies to 8?
No integers. It works the other way around. 6 and 2 multiply to 12, add to 8.
