Number System Review Lesson

Real Number System Review

Poll

How comfortable are you with classifying real numbers?

• Very comfortable

• Comfortable

• I'm okay, but not really sure

• I have no idea how to classify

Natural & Whole Numbers Review

​The numbers we use for counting are the natural numbers: 1, 2, 3, 4, 5, and so on

​

​The set of whole numbers is the set of natural numbers plus zero: {0, 1, 2, 3,…}

​Integers Review

​The integers include all whole numbers together with the “negatives” of the natural numbers.

Multiple Choice

How would you classify -4?

• Whole Number

• Integer

• Natural Number

Multiple Choice

How would you classify the number 0?

• Whole Number

• Natural Number

• Irrational Number

Multiple Choice

True or false.

The number 7 is a natural number.

• True

• False

​Rational vs Irrational Review

The rational numbers are numbers which can be expressed as a fraction.

Caution: The denominator cannot equal zero.

​Rational numbers can also appear in decimal form. If the decimal number either terminates or repeats, then it is possible to write it as a fraction with an integer numerator and denominator. Thus, it is rational as well.

​

​The irrational numbers are all numbers which when written in decimal form do not repeat and do not terminate.

​What do you notice about rational vs irrational?

Multiple Choice

How would you classify $$\sqrt[]{8}$$  ?
(Hint: Plug it into your calculator)

• Whole Number

• Rational Number

• Integer

• Irrational Number

Multiple Choice

How would you classify  $$\frac{5}{9}$$  ?

• Integer

• Rational Number

• Whole Number

• Irrational Number

Fill in the Blanks

Poll

How comfortable are you with classifying real numbers now?

• Very comfortable

• Comfortable

• I am okay, but need to study a bit more

• I am unsure and need tutoring before or after school

Multiple Choice

Classify 3

• Natural

• Whole

• Integer
• Rational

Multiple Choice

Classify 0

• Whole
• Integer
• Rational
• All of the above

Multiple Choice

Classify the following:
0.04769165821735......

• Irrational
• Rational

Multiple Choice

Classify the following:
 -78

• integer
• Real Number

• Whole Number

• Rational Number

Multiple Choice

What is the definition of integers?

• Numbers you count on your fingers and toes
• Natural numbers and zero
• Whole numbers and their opposites
• Terminating or repeating decimals

Multiple Choice

Classify the following:
√17?

• Rational
• Irrational

Multiple Choice

Classify the Number: 120

• Natural

• Irrational

• whole
• Rational

Multiple Choice

How would 7/9 be classified?

• Rational

• Integer

• Real

• Irrational

Multiple Choice

-14 could NOT be which type of number?

• Integer
• Real
• Rational
• Natural

Multiple Choice

Classify 17/10

• Whole
• Rational
• Natural
• None of the above

Ordering real numbers

Multiple Choice

Make the percent to decimal.

142%

• 1.42

• 14.2

• 0.142

Multiple Choice

Make the percent to decimal.

7%

• .007

• 0.07

• 7

Multiple Choice

Between which two consecutive whole numbers is the√200? 

• 13 and 14
• 15 and 16
• 14 and 15
• 11 and 12

Multiple Choice

(-6)²

• 12

• -12

• -36

• 36

Multiple Choice

Estimate √50. Round your answer to the nearest Whole Number. 

• 5
• 10
• 25
• 7

Multiple Choice

Evaluate
√36

• 6
• -9
• 18
• -18

Multiple Choice

Which is the decimal for 4/5?

• 0.08

• 0.45

• 0.8

Multiple Choice

Which set is in descending order?

• 15% , .45 , 9/10

• .45 , 15% , 9/10

• 9/10 , 15% , .45

• 9/10 , .45 , 15%

Multiple Choice

Point B could represent which of the following numbers?

• √24
• √30
• √35
• √42

Multiple Choice

Order 3π, √ 10 , and 3.25 from least to greatest.

• √ 10, 3π, 3.25
• √ 10, 3.25, 3π
• 3π, 3.25, √ 10
•  3.25, √ 10, 3π

Multiple Choice

Which list shows these numbers in order from least to greatest?

Multiple Choice

Place numbers from least to greatest.

• -3/7, -0.44, √2, 0.14, 141%,

• -0.44, 0.14, -3/7, √2, 141%

• -3/7, -0.44, 0.14, 141%, √2

• -0.44, -3/7, 0.14, 141%, √2

Multiple Choice

Write the following number in scientific notation.

360

• $$3.6\times10^2$$  

• $$0.36\times10^2$$  

• $$3.6\times10^3$$  

• $$3.6\times10^{-2}$$  

Multiple Choice

Write the following number in scientific notation.

0.052

• $$5.2\times10^1$$  

• $$5.2\times10^{-1}$$  

• $$5.2\times10^{-2}$$  

• $$5.2\times10^2$$  

Multiple Choice

Choose the smaller number.

• $$9.5\times10^4$$  

• $$9.21\times10^7$$  

Multiple Choice

Choose the smaller number.

• $$9.5\times10^4$$  

• $$9.21\times10^4$$  

Multiple Choice

Choose the bigger number.

• $$2.45\times10^{-6}$$  

• $$7.3\times10^{-8}$$