Compare and Order Rational Numbers

Compare and Order Rational Numbers

by Omar Shishani

Poll

How well are you doing in math so far?

Multiple Choice

The number on the top of a fraction is called what?

• numerator
• denominator

Multiple Choice

The number on the bottom of a fraction is called what?

• numerator
• denominator

Multiple Choice

What fraction goes in the box?

• 0/4

• 1/4

• 2/4

• 4/4

Multiple Choice

What fraction goes in the box labeled A?

• 0/6

• 1/6

• 3/6

• 5/6

Multiple Choice

What fraction goes in the box labeled B?

• 0/6

• 1/6

• 3/6

• 5/6

Multiple Choice

What fraction of the donut is left?

• 1/8

• 7/1

• 6/8

• 7/8

Multiple Choice

What fraction of the donut is left?

• 3/5

• 2/5

• 3/2

• 2/3

Multiple Choice

What is the fraction of green parts? 

• 1/4
• 3/4
• 2/4
• 4/3

Multiple Choice

What is the fraction of the blue parts? 

• 1/2
• 1/3
• 3/3 or 1

• 2/3

Multiple Choice

What is the fraction of pink parts? 

• 2/3
• 1/3
• 1/5
• 2/4

Multiple Choice

What is the fraction of yellow eggs? 

• 2/3
• 1/2
• 1/3
• 1/4

Multiple Choice

What is the fraction pink dots? 

• 2/3
• 3/4
• 3/2
• 3/5

Multiple Choice

Look at the fraction. Which number line shows this fraction?

Multiple Choice

Look at the fraction. Which number line shows this fraction?

Multiple Choice

Compare:

$$\frac{5}{6}\left[\ \ \right]\ \frac{4}{6}$$  

• $$\frac{5}{6}\left[>\right]\ \frac{4}{6}$$  

• $$\frac{5}{6}\left[<\right]\ \frac{4}{6}$$  

• $$\frac{5}{6}\left[=\right]\ \frac{4}{6}$$  

​Compare Fractions with Different Denominators

​You cut a candy bar into two equal pieces, and eat one. Your friend cuts his candy bar into four equal pieces, and eats two pieces. Who ate more candy? Why do you think so?

Reorder

Reorder the following from smallest to largest

• $$\frac{1}{7}$$  

• $$\frac{3}{7}$$  

• $$\frac{5}{7}$$  

• $$1\frac{2}{7}$$  

• $$3\frac{2}{7}$$  

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

Compare the shaded areas to determine if the fractions are equal

• These are not equal

• this is $$\frac{1}{2}$$ and $$\frac{2}{6}$$

• this is $$\frac{1}{2}$$ and $$\frac{3}{6}$$

• this is $$\frac{1}{3}$$ and $$\frac{1}{2}$$

Multiple Choice

Which symbol belongs in between the following comparison?

• >
• <
• =

Multiple Choice

Which symbol belongs in between the following comparison?

• >
• <
• =

Reorder

Reorder the following from smallest to largest

• $$\frac{1}{8}$$  

• $$\frac{1}{6}$$  

• $$\frac{1}{4}$$  

• $$\frac{1}{3}$$  

• $$\frac{1}{2}$$  

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Simplifying Fractions

Multiple Choice

$$\frac{1}{4\ }<\frac{1}{9}$$  

• True

• False

Multiple Choice

$$\frac{6}{10}<\frac{6}{8}$$  

• True

• False

Multiple Choice

Which symbol belongs in between

$$\frac{3}{8}\ \left\{\right\}\ \frac{1}{6}$$  

• <

• >

• =

Multiple Choice

Which symbol belongs in between

$$\frac{5}{7}\ \left\{\right\}\ \frac{4}{5}$$  

• <

• >

• =

Reorder

Reorder the following from smallest to greatest

• 0.6

• $$\frac{16}{25}$$  

• $$\frac{7}{10}$$  

• $$0.\overline{72}$$  

1

2

3

4

• 1
• 2
• 3
• 4