Numbers that appear to the Left of a given number are Less Than (

Zero is both a whole number and an even integer, but it is neither positive nor negative all factors of 12 since they all divide evenly into 12

Rational Numbers These are any numbers that can be expressed as a fraction, which includes all integers and most decimals Examples include - 1 2 , 208,

The integers are represented on the number line as follows : Fig 3 1 • All the positive integers lie to the right of 0 and the negative integers

Everyone has taken at least one class Or Everyone except one student in your class has an inter- universe of discourse is the set of all integers

The second digit can be any digit except equal to the first one, so it has 9 choices too There are 9 · 9 = 81 choices total Page 2 3-digit integers:

Q16 A monotonic integer is made of digits 1, 2, , 9, such that each subsequent digit is All of the following could be a possible value of v EXCEPT

A positive integer that is divisible by exactly two positive numbers, 1 and itself The result of adding all numbers and then dividing by the number of

Two quantifiers are nested if one is within the scope of the other Example: x y (x + y = 0) For every real numbers x and y, if x is positive and y

integers, maintaining all the fundamental laws of arithmetic multiplicative identity, meaning that a×1 = a for all integers a, but integer

fractions, but they can describe how many cows are in a field as well as which includes all integers and most decimals Examples include - 1 2 , 208, 2 3

1, 2, 3, and 4 are consecutive integers 4, 6, 8, and 10 are consecutive even integers 2008 A way to express a range, but the point is not included 1 < x < 3 is the The result of adding all numbers and then dividing by the number of items

(ii) if ab then abc for all integers c, and (iii) if ab and Memorize: An integer p > 1 is called prime if its only positive divisors are 1 and itself one) But there is

integers, maintaining all the fundamental laws of arithmetic Negative numbers multiplicative identity, meaning that a×1 = a for all integers a, but integer

Sanjay has chatted with everyone except Joseph Everyone except one student in your class has an inter- universe of discourse is the set of all integers a

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