Compare and Order Rational Numbers

Comparing Rational Numbers

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

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

Comparing Rational Numbers

< or > ?

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

Multiple Choice

Put the following in order LEAST to GREATEST:
125%, 5/3, 12.4

• 5/3, 12.4, 125%

• 12.4, 5/3, 125%

• 125%, 5/3, 12.4

• 125%, 12.4, 5/3

Multiple Choice

Order 5/8, 0.5, 58.3% from greatest to least.

• 5/8, 0.5, 58.3%
• 5/8, 58.3%, 0.5
• 58.3%, 5/8, 0.5
• 58.3%, 0.5, 5/8

Multiple Choice

List the following in descending order.

• 19/20, 19%, 0.192

• 0.192, 19%, 19/20

• 19/20, 0.192, 19%

• 19%, 0.192, 19/20

Multiple Choice

Which symbol makes the statement true?

• <
• >
• =

Multiple Choice

Choose <, >, or = to fill in the circle and create a true statement.

• <
• >
• =

Multiple Choice

Choose <, >, or = to fill in the circle and create a true statement.

• <
• >
• =

Multiple Choice

Which symbol makes the statement true?

• <
• >
• =

Multiple Choice

Put the following in Descending (greatest to least) order:
.25, 1/3, 30%

• 30%, .25, 1/3
• 1/3, 30%, .25
• 30%, 1/3, .25
• .25, 30%, 1/3

Multiple Select

Which of the following inequalities are correct?

• $$-\frac{2}{7}<-\frac{3}{7}$$

• $$0>-\frac{3}{7}$$

• $$-\frac{3}{7}<-\frac{2}{7}$$

Fill in the Blank

Order the following numbers from least to greatest. Place the lowest number on the left. Place one space between each number. No commas.

-62, -19, -42, 0

Multiple Select

Which of the following inequalities are correct?

Choose all answers that apply. 

• $$-\frac{2}{3}<-\frac{1}{3}$$

• $$-\frac{1}{3}<-\frac{2}{3}$$

• $$0>-\frac{2}{3}$$

Multiple Choice

Which number is the greatest? 

$$\frac{5}{4}\ \ \ ,\ \ 1\frac{8}{25}\ \ ,\ \ \ \ 1.3$$  

• $$\frac{5}{4}$$  
  

• $$1\frac{8}{25}$$  

• $$1.3$$  

Multiple Choice

Which number is the smallest?

$$\frac{1}{9}\ \ ,\ \ \ -0.1\ \ \ \ ,\ \ -\frac{2}{12}$$  

• $$\frac{1}{9}$$  

• $$-0.1$$  

• $$-\frac{2}{12}$$  

Fill in the Blank

 Order the following numbers from least to greatest.

Place the smallest number on the left. Add one space between each number. No commas. Type fractions using "/". Example:  $$\frac{1}{4}$$  as 1/4

$$-\frac{14}{3}\ ,\ \ \ \ -5.1\ ,\ \ -4$$  

Multiple Choice

Which shows three equivalent numbers?

• $$40\%,\ \frac{2}{5},\ 0.4$$

• $$7,\ 7\%,\ \frac{7}{100}$$

• $$\frac{3}{5},\ 0.66,\ 66\%$$

• $$0.15,\ \frac{1}{5},\ 15\%$$

Multiple Choice

Which of the statements is true?

• $$0.45<45\%$$

• $$0.66<\frac{1}{3}$$

• $$85\ \%>\frac{2}{3}$$

• $$\frac{1}{2}>55\%$$

Multiple Choice

Which list of values is ordered from GREATEST to LEAST?

• $$0.27,\ \frac{4}{11},\ \frac{1}{5},\ 25\%$$

• $$0.27,\ 25\%,\ \frac{4}{11},\ \frac{1}{5}$$

• $$\frac{4}{11},\ 0.27,\ \frac{1}{5},\ 25\%$$

• $$\frac{4}{11},\ 0.27,\ 25\%,\ \frac{1}{5}$$

Multiple Choice

Which number has the LEAST value?

• $$2\ \frac{3}{4}$$

• $$\frac{5}{2}$$

• $$2.62$$

• $$245\%$$

Multiple Choice

Place the numbers in order from least to greatest.

• $$0.08,\ 0.875,\ 60\%,\ \frac{5}{9}$$

• $$0.08,\ \frac{5}{9},\ 60\%,\ 0.875$$

• $$\frac{5}{9},\ 60\%,\ 0.875,\ 0.08$$

• $$60\%,\ \frac{5}{9},\ 0.875,\ 0.08$$

Multiple Choice

Paulina made the table below to show the distance she hit each of 4 golf balls as a portion of the full length of the golf range. Which golf ball went the furthest distance?

• 1

• 2

• 3

• 4