COMPARING AND ORDERING RATIONAL NUMBERS

Comparing Rational Numbers

Objective: Compare and order Rational Numbers

Multiple Select

Which sets would the number 1.2 fit in the Venn diagram?

• Rational Numbers

• Integers

• Whole Numbers

Multiple Select

Where would the number -3 fit in the Venn diagram?

• Rational Numbers

• Integers

• Whole Numbers

Multiple Select

Where would the number 0 fit in the Venn diagram?

• Rational Numbers

• Integers

• Whole Numbers

Multiple Choice

Which graphic organizer correctly groups the following numbers?

3.4 -2 3 -1.2

Multiple Choice

Compare 2/5 to 0.2

• <
• >
• =

Multiple Choice

Compare 35% to 3/8

• <
• >
• =

Reorder

Reorder the following in order from Least to Greatest.

• $$\frac{8}{25}$$  

• 38%

• 0.41

1

2

3

• 1
• 2
• 3

Multiple Choice

WHICH LIST SHOWS THE STUDENTS IN ORDER FROM THE GREATEST AMOUNT OF TIME USED TO THE LEAST AMOUNT OF TIME USED?

• Andrew, Blake, Jamail, Ernesto

• Blake, Andrew, Jamail, Ernesto

• Ernesto, Blake, Andrew, Jamail

• Andrew, Jamail, Ernesto, Blake

Open Ended

BASED ON THE TRANSACTIONS IN NINA'S CHECK REGISTER, WHAT IS THE BALANCE IN DOLLARS AND CENTS IN HER CHECKING ACCOUNT AT THE END OF THE DAY ON APRIL 23?

Multiple Select

Which set or sets of numbers does -6 belong to?

• Rational Number

• Integer

• Whole Number

Poll

Make a prediction: Which fraction is bigger?

• 1/3

• 2/7

• They are equal

Multiple Choice

6/10 ____ 2/5

• >

• <

• =

Poll

Predict which rational number is larger

• 0.45

• 4/5

• They are equal

Multiple Choice

Compare the two numbers:

7/8 ____ .9

• <

• >

• =

Multiple Choice

Compare 2/5 to 0.2

• <

• >

• =

Multiple Choice

Which is ordered in ascending order?

• 1/4, -3/7, 1/2
• -3/7, 1/2, 1/4
• 1/2, 1/4, -3/7
• -3/7, 1/4, 1/2

Multiple Choice

List in order from least to greatest.
5/4, 56%, 1.07, 4/5

• ^{5/4, 56%, 1.07, 4/5}
• ^{1.07, 4/5, 5/4, 56%}
• ^{56%, 1.07, 4/5, 5/4}
• ^{56%, 4/5, 1.07, 5/4}

Multiple Choice

Fill in the blank with the correct sign >, < , or =
-3/4 ________ -4/5

• >
• <
• =

Multiple Choice

Fill in the blank with the correct sign >, < , or =
-3.4  ________ -2.5

• >
• <
• =

Multiple Choice

Put the rational numbers in order from least to greatest.
-4.2, -4 1/2, -4, 0, 4 

• ^{0, -4 1/2, -4.2, 4, -4}
• ^{-4 1/2, -4.2, -4, 0, 4}
• ^{-4 1/2, -4.2, -4, 4, 0}

Multiple Choice

Put the rational numbers in order from least to greatest.
-1, -1.1, -1.5, -1.15, -0.5

• ^{-1.5, -1.15, -1.1, -1, -0.5}
• ^{-1.1, -1, -1.5, -1.15, -0.5}
• ^{-0.5, -1.1, -1, -1.5, -1.15}

Multiple Choice

Which statement is correct?

• -2.4 > -2

• -1.7 < -1.9

• -3.4 < -3.1

Multiple Choice

Four Madison Bison ran the 50-meter dash during the city track meet. The times are shown in the table above. Which runner had the slowest time?

• Steve

• Mike

• Daniel

• Mauricio

Multiple Choice

Gail's dad has tools in his garage. They're labeled for the size of the tool. Which of these are listed from greatest to least?

• 1/4, 1/3, .20, .75, 1.25, 2 1/2

• 2 1/2, 1.25, .75, 1/3, 1/4, .20

• .20, 1/4, 1/3, .75, 1.25, 2 1/2

• 2 1/2, 1.25, .75, .20, 1/3, 1/4

Multiple Choice

Hunter finished 3/8 of his homework before supper. Macy finished 2/3 of her homework before supper. Which statement correctly compares the fractions?

• 3/8 < 2/3
• 3/8 > 2/3
• 3/8 =  2/3
• 2/3 < 3/8

Multiple Choice

Three students were reading the same novel.  Romaisa read 3/5 of the novel, Syed read 17/25 of the novel, and Felix read 0.63 of the novel.  Who has read the most?

• Romaisa
• Syed
• Felix

Multiple Choice

Convert 2.75 to a percent.

• 275%
• 2.75%
• 27.5%
• .275%

Multiple Choice

Convert 4/5 to a percent.

• 45%
• 4.5%
• 80%
• 8%

Multiple Choice

28% as fraction is ________.

• 7/25
• 28/50
• 2.8/100
• 14/25

Multiple Choice

6.8% as a decimal is ______________.

• 6.8
• 680
• 0.068
• 0.68

Multiple Choice

Which number is an integer?

• -1/2
• 0.2
• 3/4
• -2

Multiple Choice

Isabella’s recipe for muffins calls for 3/10 teaspoon of ginger, 0.5 teaspoon of nutmeg, and 11/25 teaspoon of cinnamon.  Write the spices in order from the greatest to least amounts. 

• ginger, nutmeg, cinnamon
• ginger, cinnamon, nutmeg
• cinnamon, nutmeg, ginger
• nutmeg, cinnamon, ginger

Multiple Choice

Paula is at Foot Locker.  She wants to save money during Black Friday.  Which discount is the best?

• 1/2
• 55.7%
• 0.578
• 11/20

Multiple Choice

Which set of rational numbers are in ascending order?

• 2/5  1/4  52%
• 1/4  2/5  52%
• 52%  1/4  2/5
• 52%  2/5  1/4

Multiple Choice

Which set of rational numbers are in descending order?

• 15%  .45  9/10
• .45  15%  9/10
• 9/10  15%  .45
• 9/10  .45  15%

Multiple Choice

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

• <
• >
• =

Multiple Choice

Compare 35% to 3/8

• <
• >
• =

Multiple Choice

Sixth grade had 1/4 of the students tryout for the volleyball team, 7th grade had 35%, 8th grade had 0.4.  Which grade had the least portion of students trying out for the team?

• 6th Grade
• 7th Grade
• 8th Grade

Multiple Choice

Order 5/8, 60%, and 0.62 from least to greatest.

• 0.62, 5/8, 60%
• 5/8, 0.62, 60%
• 60%, 5/8, 0.62
• 60%, 0.62, 5/8

Multiple Choice

Order 75%, 9/10 and 0.09 from Greatest to Least.

• 75%, 9/10, 0.09
•    0.09, 75%, 9/10
• 9/10, 75%, 0.09

Drag and Drop

WARMUP: -232​​

Placeholder

-314

Drag these tiles and drop them in the correct blank above

>

<

=

​Comparing Rational Numbers

​Two rational numbers can be equal to, less than, or greater than one another.

​

The symbols that we use are:

Equal to "="

4 = 4​

Less than "<"

4 < 6​

Greater than ">"

​4 > 2

​

When using < or >, remember that the smaller side points at the smaller number (the number that is less). Or it eats the bigger number.

​Comparing Rational Numbers

​Sometimes you will be given fractions and decimals that you need to compare.

​

It is usually easier to convert all fractions to decimals in order to compare them on a number line.

​

To convert a fraction to a decimal, divide the numerator by the denominator.

​EXAMPLES

Dropdown

Compare: $$-\frac{4}{7}$$ ​

Select answer

  $$-\frac{3}{5}$$

​EXAMPLES

Dropdown

Compare: $$-14\frac{7}{10}$$  ​

Select answer

$$-14.9$$  

​Place the following decimals in order from least to greatest.

​

​-0.6, -3.2, -0.2, -0.7, 2.1

​EXAMPLE

​ORDERING RATIONAL NUMBERS

Reorder

Put the rational numbers in order from least to greatest.

-1, -1.1, -1.5, -1.15, -0.5

• -1.5

• -1.15

• -1.1

• -1

• -0.5

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

​EXAMPLE

​ORDERING RATIONAL NUMBERS

Reorder

Order the numbers from least to greatest.

$$0,4,-4\frac{1}{5},-4\frac{1}{2},-4$$  

• $$-4\frac{1}{2}$$  

• $$-4\frac{1}{5}$$  

• -4

• 0

• 4

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Open Ended

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