# Integers

Integers
Natural Numbers: { 1, 2, 3, 4, 5, …} or Counting Numbers
Whole Numbers: {0, 1, 2, 3, 4, 5,…}
Integers: {… -4, -3, -2, -1, 0, 1, 2, 3, 4, }Includes positive numbers and negative numbers.
Also the neutral number zero
Number Line
Absolute Value: A number’s distance from zero on a number line
Real Numbers. The set of all numbers that can be represented by points on a number line.
Rational Number. Is a real number that can be expressed as the ratio of two integers {n/m}
Rational numbers are whole numbers, fractions, and decimals )
Irrational Number. Is a real number that is not a rational number (it cannot be expressed as the ratio of two integers)

Prime Numbers. Numbers that can only be divided by 1 and itself and have no remainders.

Prime Numbers = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43,

Composite Numbers. Numbers that can be divided by more than two factors and have no remainders.

Composite Numbers = 4, 6, 8, 10, 12, 14, 16, 18, 20, .

Neutral Numbers. These numbers are not prime nor composite: 0 and 1

Place Value. It’s determined by its position with respect to the decimal point.

### Compare and order Integers

We can compare different integers by looking at their positions on the number line. For any two different places on the number line, the integer on the right is greater than the integer on the left.
Ex. Order 3, 5, -3, 1, -5 When we compare whole numbers we line up place values (so that similar place values are lined up). Start at the left and find the first place where the digits differ.

Example: To compare the numbers 1,245,214 and 1,236,789, we will line up the numbers so the digits in the ones place line up. Since 4 > 3,    We conclude that 1,245,214 is bigger than 1,236,789 ### IN02    Comparing

Comparing Vocabulary

Comparing Symbols Help

Comparing Writing

Integers Vocabulary

Create a graphic organizer (Frayer Model) for the following vocabulary words:  Natural Number, Whole Number, Rational Number and Irrational Number.