Math 6 Honors Periods 6 & 7 (Friday)

Quotients of Integers

One of last night's homework problems could have been
-7 X 4 = -28 if that is true then,

-28 ÷ 4 = -7

The rules that apply for multiplication also apply for division.

The quotient of two positive integers is positive

The quotient of two negative integers is positive

The quotient of a positive integer and a negative integers is negative.

Notice: the quotient of two integers need not be an integer. For example, there is no integer n such that 10/4 = n because there is no integer n such that n X 4 = 10

Actually the quotient 10/-4 = -2.5

Remember that we never divide by 0. 10/0 is UNDEFINED

Let n be a positive integer and –n be its opposite

n ÷ -1 = -n

-n ÷ -1 = n

-n ÷ -n = 1

-n ÷ n = -1

n² ÷ n = n