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




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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

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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,

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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

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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




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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: 

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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

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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

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

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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

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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

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

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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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[PDF] WHAT KIND OF NUMBER IS IT? , 7004_6what_kind_of_number.pdf

WHAT KIND OF NUMBER IS IT?

Natural Numbers Counting Numbers, and

the fingers on your hands or the pieces of candy in a bowl. Whole Numbers These include the natural (counting) numbers, negatives or fractions, but they can describe how many cows are in a field as well as how many cows remain after they all leave. Integers -3, -2, -1, 0, 1, 2, 3...} These include the whole numbers (natural numbers and zero), and they also include negative Rational Numbers These are any numbers that can be expressed as a fraction, which includes all integers and most decimals. Examples include - ଵ 6, 208, - u, 0.66, ଼ ? 6 ;, ି 8 5, -4, ଵଽ <, 0. 75 Integers are rational numbers because 2 = ଶ 5 -13 = ି 5 7 5 Fractions are rational numbers so long as their bottom number (the denominator) is not zero, because dividing anything by zero is impossible. Decimals are rational numbers so long as they either terminate, having a limited number of digits after the decimal point. For example, 0.25 and .07 are both terminating decimals. They can also be expressed as fractions: 0.25 = ଵ 8 0.07 = ଻ 5 4 4 repeat, having an unlimited number of digits after the decimal point that repeat in a regular pattern. For example, the decimal 0.454545 are usually written as 0.6 and 0.45, although they can go on forever. They can also be expressed as fractions: 0.6 = ଶ 7 0.45 = ହ 5 5 Irrational Numbers These are any numbers that can decimals that terminate or repeat. For example, the number pi (ߨ continues for an infinite number of digits in no particular pattern.

No fraction is equal to exactly that number.

Similarly, the square root of two (ξt) can be estimated as 1.4, but 1.4 * 1.4 does not equal 2 exactly. There is no fraction equaling any decimal which, multiplied by itself, equals two. Real Numbers These are all the rational numbers (including natural numbers, whole numbers, and integers) and all the irrational numbers.

Real Numbers

Created Fall 2012

Pocatello I.S.U. Math Center Idaho Falls REND 327 Student Success Center CHE 220

208-282-3662 www.isu.edu/success/math 208-282-7925

Irrational Numbers Rational Numbers

Integers

Whole Numbers

Natural Numbers


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