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,
Historically, the negative integers (and ) developed later than the natural numbers They were only accepted in Europe in the 17 century In one sense
Numbers that appear to the Left of a given number are Less Than (
Between any two real numbers, there is always a rational number of the integers, starting right after the interval for the strings of length k ?1
R = real numbers, Z = integers, N=natural numbers, Q = rational numbers, P = irrational numbers • ?= proper subset (not the whole thing) ?=subset
Integer A counting number, zero, or the negative of a counting number No fractions or Starts from one point and continue forever in only one direction
Real numbers include integers, positive and negative fractions, and irrational roughly that if you start with a true equation between two real numbers,
simple equations with the available list of integers This leads us to the collection of rational numbers each on the left of zero and starting
numbers Fig 1 2 Now suppose you start walking along the number line, and collecting Now, stretching in front of you are many, many negative integers
Integer A counting number, zero, or the negative of a counting number No fractions or Starts from one point and continue forever in only one direction
I had a debt of $3, but I earned $4 I now have $1 Subtracting a positive integer We will start by thinking of subtraction as 'taking away'
Addition and Subtraction of Integers and Rational Numbers Students They use the number line and the Integer Game to Your hand starts with the 7 cards
How can you end at zero if you start at zero? Getting Started Creating Zero Use a number line to illustrate how the sum of two numbers can
Makes sense, we start counting with the number 1 and continue with 2, 3, 4, 5, and The natural numbers and the whole numbers are both subsets of integers