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9 Cards in this Set

  • Front
  • Back
what is an integer?
the whole numbers and their opposites
what is an opposite?
a pair of numbers such as -1 and 1
What are the rules for adding positive and negative numbers?
1. the sum of two positive numbers is positive.
2. the sum of two negative numbers is negative.
The sum of a positive number and a negative number is:
1. positive if the positive number has the greater absolute value.
2. negative if the negative number has the greater absolute value.
3. zero if the numbers have the same absolute value.
the rule(s) for subtracting positive and negative numbers
for any numbers a and b,
a - b = a + (the opposite of b)
-or-
a - b = a + (-b)
the rule for multiplying positive and negative numbers
the product of a positive number and a negative number is a negative number

the product of two negative numbers is a positive number

the product of -1 and any number equals the opposite of that number
the rule for a product with no zero factors
1. if the number of negative factors is odd, the product is negative.

2. if the number of negative factors is even, the product is positive.
the rules for dividing positive and negative numbers
the quotient of two positive or two negative numbers is positive.

The quotient of a positive number and a negative number is negative.
the rule for negative integers as exponents
for all numbers a(a ±(not equal) 0), m, and n,
a[-m("a" to the negative "m" power)] = 1 over "a" to the "m" power