Lesson 2.1 – Using Integers and Rational Numbers Real numbers ...

Lesson 2.1 – Using Integers and Rational Numbers

Real numbers: Any number that can appear on the number line.

Whole Numbers:

Integers:

No fractions, no decimals, no negatives numbers

No fractions, no decimals, but positives or negatives are ok

Positive integers are greater than 0 Negative integers are less than 0 0 is neither positive nor negative

Rational numbers in fraction form with an integer in the numerator and an integer in the denominator. Ex:

2

1

0.4

In decimal form, a rational number either terminates or repeats.  Repeating:  Terminating:

Venn Diagram

…

Opposites – two numbers that are the same distance from zero.

Ex:

on a number line but on opposite sides of the

is read “the opposite of ”

If

then

______

If

then

_______

Absolute Value – the distance a number is from zero on the number line. The symbol

represents the

absolute value of a. *because absolute value is a distance, the absolute value of a number is always non-negative*

Find the opposite of:

What is the absolute value of:

Conditional Statements – an if-then statement that has a hypothesis and a conclusion. If = hypothesis Then = conclusion

Conditional Statement

Ex:

if

is a positive number, then

Hypothesis

Conclusion

If/then statements are either true or false. It is false if you can come up with even one example of the conclusion being false. This is called a counterexample.

Ex: Identify the hypothesis and the conclusion. Tell whether it is true or false, if it is false give a counter example.  If a number is a integer, then it is a whole number.