Lesson: Comparing Rational Numbers

Multiple Choice

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Comparing Rational Numbers

Objective: Compare and order Rational Numbers

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 "="

4.5 = 4.5​

Less than "<"

8.09 < 8.12​

Greater than ">"

​3.6 > 3.5

​

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

Drag and Drop

Checking your understanding:

8.4​​

Placeholder

8.040

Drag these tiles and drop them in the correct blank above

<

=

>

​Comparing Rational Numbers

3.4
3.04
3.004

​Decimals

​3.4 🔲 3.09

​Sometimes making them look like money helps.

​Or you can use the place value.

Reorder

Reorder the following from least to greatest

• 6

• 6.0001

• 6.001

• 6.01

• 6.1

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

​Comparing Rational Numbers

Fractions

Instead of finding a common denominator, we could change the fractions to decimals.

Match

Match the fraction with its decimal equivalent.

• $$\frac{1}{5}$$

• $$\frac{1}{4}$$

• $$\frac{3}{5}$$

• $$\frac{7}{10}$$

• $$\frac{4}{5}$$

0.2

0.25

0.6

0.7

0.8

• 0.2

• 0.25

• 0.6

• 0.7

• 0.8

​EXAMPLES

​Use <, > or =

Dropdown

Compare: $$\frac{4}{7}$$ ​

Select answer

  $$\frac{3}{5}$$

​EXAMPLES

​Use <, > or =

Dropdown

Compare: $$-\frac{5}{6}$$ ​

Select answer

  $$-\frac{2}{5}$$

​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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