lesson 2 Flashcards
counting numbers
the set of numbers used to count physical objects {1, 2, 3, 4, 5,…}
integers
the set of whole numbers and negative counting numbers
negative numbers
the set of numbers less than zero
rational numbers
the set of numbers that can be written as a quotient of two integers
real numbers
the set of rational numbers and irrational numbers
whole numbers
the set of positive integers and zero {0, 1, 2, 3,…}
Example
a. Which integer is smaller, Notice on the number line that is farther from 0 than Therefore, is smaller.
b. Which integer is larger, Since is farther left on the number line, is larger.
c. Which integer is smaller, A negative number is smaller than any positive number. So, is smaller.
Ordering Integers
Ordering is placing a set of integers in order from least to greatest or greatest to least.
Example
order the set of integers from least to greatest.
1 –Separate the negative and positive integers from zero.
Negative:
Positive: 2, 10, 20
Zero: 0
2 –Write each group in order from least to greatest.
Negative: (Remember, larger negative numbers have less value.)
Positive: 5, 10, 20
3 –Positive integers are larger than negative integers, so list the negative integers first, then zero, and then the positive integers.
Ordering Decimals
As with the integers, ordering sets of decimals that are positive and negative involves the same process:
Example
Order the set of decimals from greatest to least.
1 –Separate the negative and positive integers.
Negative:
Positive: 1.2, 9.1, 4.5
2 –Write each group in order from least to greatest.
Negative: (Remember, larger negative numbers have less value.)
Positive: 1.2, 4.5, 9.1
Example 1
Use the same process to order the set of fractions from least to greatest.
1 –Separate the fractions into negative and positive groups.
Negative:
Positive:
2 –Arrange from least to greatest within the groups.
Negative:
Positive:
3 –Arrange all fractions from least to greatest:
Number line with fractions
