Classifying Numbers Review and Ordering Rational Numbers

Comparing and ordering rational numbers

who is better, bigger, stronger??

​Classifying Real Numbers Review

​What do you remember from the Classifying Real Numbers review?

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​Please take a few minutes to view this anchor chart of Real Numbers.

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1. ​What do you notice about rational vs. irrational?

2. How are rational numbers and integers different?

3. Where is zero?

Multiple Choice

Is 8.27 rational or irrational?

• Rational

• Irrational

• Both

• None of the above

Multiple Choice

Which of the following is rational?

• .211232112421125. . . .

• π

• √25

• √12

Converting my numbers into a decimal

​Please practice converting the numbers below into decimals or a whole number with your calculator:

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​35%

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​

​

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To compare decimals

• line up the decimal points

• compare digits from left to right until you find the place where the digits are different.

• It is good to convert values to decimal form so that you can compare place value

Poll

Why is it important to convert real numbers into a decimal or whole number first?

• To compare place value

• Because it is pretty

• I should not do this

• Because it is fun

Multiple Choice

Let's practice!

Convert $$\frac{5}{6}$$   into a fraction

• .70

• 2

• .8333...

• .3333...

Multiple Choice

Let's practice! 

Convert  $$\sqrt[]{16}$$   to a decimal or whole number

• 5

• 4

• .40

• .04

Multiple Choice

Find the best estimate for √18 .
Look at the number line.

• 4.2
• 4.4
• 5.1
• 4

Multiple Choice

Round to the Nearest Tenth: √28

• 5.6
• 5.9
• 5.3
• 8

Multiple Choice

Point B could represent which of the following numbers?

• √24
• √30
• √35
• √42

Multiple Choice

The √40 is between which two consecutive whole numbers?

• 7 & 8
• 4 & 5
• 5 & 6
• 6 & 7

Multiple Choice

7/8 as a decimal

• 0.958

• 0.875

• 0.739

• 0.856

Multiple Choice

2/9 as a decimal

• 0.2222...

• 0.22

• 0.2

• 0.222

Multiple Choice

Convert 53% to a decimal

• 53.0

• 0.53

• 5.30

• 0.053

Multiple Choice

Convert 27% to a decimal

• 0.27

• 0.027

• 2.7

• 27.0

Multiple Choice

Convert 9% to a decimal

• 0.9

• 0.09

• 9.0

• 90.0

Multiple Choice

Which number has a greater value?

• 0.07

• 0.7

Multiple Choice

Which number has a greater value?

• √2
• 1 ¹/₃

Multiple Choice

Which number has a greater value?

• √2
• ⁵/₄

Multiple Choice

Put in the symbol to make the statement true...
-17.5   _________ -√121

• >
• <
• =

Multiple Choice

Which list of numbers is in order from least to greatest?

• A √23, 5, 6, 43%

• B 5, √23, 6, 43%

• C 43%, 5, √23, 6

• D 43%, √23, 5, 6

Multiple Choice

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

• -64 , 3.5 , √27 , 6.666...

• 3.5 , √27 , 6.666..., -64

• 3.5, -64, √27, 6.666...

• 6.666, √27, -64, 3.5

Multiple Choice

Please look at the number line before you answer

The  $$\sqrt[]{20}$$   is between what two integers?

• 4 and 5

• 6 and 7

• 3 and 4

• 7 and 8

Multiple Choice

Point B could represent which of the following numbers?

• $$\sqrt[]{24}$$  

• $$\sqrt[]{30}$$  

• $$\sqrt[]{35}$$  

• $$\sqrt[]{42}$$  

Multiple Choice

Which answer displays the numbers from least to greatest?

$$\sqrt[]{2}$$  , 141%, -0.44,  $$-\frac{3}{7}$$  , 0.14

• -0.44,  $$-\frac{3}{7}$$ , 0.14, 141%,  $$\sqrt[]{2}$$

• -0.44, 0.14,  $$-\frac{3}{7}$$ ,  $$\sqrt[]{2}$$ , 141%

• $$-\frac{3}{7}$$ , -0.44, 0.14, 141%,  $$\sqrt[]{2}$$

• -0.44,  $$-\frac{3}{7}$$ , 0.14, 141%,  $$\sqrt[]{2}$$

Poll

How comfortable are you with comparing and ordering real numbers?

• I am very comfortable

• I am okay with this

• I need to study a bit more

• I do not understand