They don't include fractions Rational Numbers These are any numbers that can be expressed as a fraction, which includes all integers and most decimals
9 mar 2012 · Integers and decimals Integers All whole numbers are called integers Integers can be positive or negative Zero is an integer Remember
7 jan 2016 · Computers don't represent numbers using decimal Instead, they represent numbers using bi- nary All the algorithms you learned in grade school
In the United States, we use the decimal or period (“ ”) to represent the difference between whole numbers and partial numbers
Rational Numbers Can be expressed as a ratio of two Integers: a/b, (b ? 0); such ratios (fractions) can be expressed as terminating or repeating decimals
Ordering integers and decimals Keywords Approximate: To estimate a number, amount or total often using rounding of numbers to make them easier to
Chapter 1 Integers, decimals, fractions, ratios and rates 1B Multiplying and dividing positive and negative integers REVISION 1C Decimal places and
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,
Rational Numbers Can be expressed as a ratio of two Integers: a/b, (b ≠ 0); such ratios (fractions) can be expressed as terminating or repeating decimals
We have spent the last two weeks painstakingly constructing the basic number systems of mathematics: the natural numbers, integers, ratio- nals, and reals
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19044_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 = ି57 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 = 544 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 55 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
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Irrational Numbers Rational Numbers
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