Comparing Rational Numbers

Comparing Rational Numbers

Have a pencil and paper to jot down some notes!

Poll

First Question:

How are you doing today?

What is a Rational Number?

• A number that can be made by dividing two integers (an integer is a positive or negative whole number, like -4, 0, 2, etc.).

• Rational numbers include integers, fractions, and most decimals (finite or repeating).

Some Examples of Rational Numbers

• Integers (ex: $-17,0,8$ )

• Positive & Negative Fractions or Decimals:                                     (ex: $-\frac{1}{2},\ -0.5,\ \frac{4}{3},\ 12.75$ )

Multiple Select

Select ALL options that are Rational Numbers:

• $-\frac{5}{8}$

• $-2$
  

• $0$

• $3.5$

• $7$

Comparing Rational Numbers

• We compare rational numbers by their order. For example: 1 is less than 3, -10 is less than 2, etc.

• We can see the order of positive and negative numbers on a number line.

• A number is always LESS THAN the number to its RIGHT on the number line.

Comparing Rational Numbers

• The symbol " $<$ " means LESS THAN

• For example,  $-4<3$   is read as "-4 is less than 3", because -4 is to the LEFT of 3 on the number line.

Comparing Rational Numbers

• The symbol " $>$ " means GREATER THAN

• For example,  $5>-7$ is read as "5 is greater than -7" 

< or > ?

• When remembering which way the inequality symbol goes, pretend it is an alligator.

• The alligator "eats" the bigger value

• Example: In  $1<3$  , the alligator "eats" the bigger number 3

Ready to try out comparing rational numbers?

If yes go to the next slide!

If no then go back and check out slides 5-8 to review.

Multiple Choice

True or False:

-5 is less than (<) 6

• True

• False

Multiple Choice

True or False:

-5 is greater than (>) 2

• True

• False

Multiple Choice

True or False:

0 > -2

• True

• False

Multiple Choice

True or False:

-10 < -5

• True

• False

Multiple Choice

True or False:

-1.5 < -1

• True

• False

Multiple Choice

True or False:

20 > -20

• True

• False

Multiple Choice

True or False:

-1.5 < -1.6

• True

• False

Open Ended

All done!

Make sure to "Turn In" this assignment on Google Classroom when you are done. If you finish early use the rest of class time to complete any missing assignments.

See everyone tomorrow! :)