Decimal and Real Number System Review

Decimal and Real Number System Review

Important Facts for the Real Number System 

• All integers are rational (can be written as a fraction) and cannot have decimals

• Natural and Whole numbers cannot be negative 
  

• Decimals that terminate (end) or have a repeating pattern are rational 

• Decimals that go on forever with no repeating pattern are irrational

• ALL NUMBERS ARE REAL 

For another review of the Real Number System, go to the link below. 

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Multiple Choice

All numbers can be written as a fraction

• True

• False

Multiple Select

Select the option(s) that apply.

-14.57 is ...

• Irrational

• Terminating decimal

• Whole

• Integer

• Rational

Multiple Select

Select the option(s) that apply.

 $\frac{16}{2}$  is ... (it might help to read it as a division problem)

• Natural 

• Whole

• Integer

• Rational 

• Irrational 

Multiple Select

Select all that apply.

8.77777...

• Terminating decimal

• Integer

• Rational

• Irrational

• Repeating decimal

Multiple Select

Select all that apply.

 $\sqrt{3}$  (You can use your caluclator) 

• Real 

• Rational 

• Integer

• Irrational

• Terminating decimal 

Poll

How do you feel about the Real Number System?

• It's easy!

• I'm starting to understand it better

• I'm still a little confused and need more practice

• I am completely lost

Important Notes for Place Value and Rounding Decimals 

• If it has a "-ths" at the end, the place value is to the right of the decimal (smaller values)

• You round by looking to the number to the right of the place value that you're rounding. If that number is 5 or greater, the place value you're rounding rounds up! If not, it stays the same number. 

Multiple Choice

64.295 Rounded to the nearest tenth is...

• 60

• 64

• 64.30

• 64.3

• 64.2

Multiple Choice

2055.348 rounded to the nearest hundred is...

• 2055.35

• 2060

• 2055

• 2055.358

• 2100

Multiple Choice

What number is in the thousandths place?

3489.1627

• 4

• 6

• 2

• 3

• 1

Multiple Choice

What number is in the ones place?

352.57

• 5

• 2

• 7

• 3

Poll

How are you feeling about place value and rounding?

• It's easy!

• I'm starting to get the hang of it!

• I need more practice

• I'm still confused and need a lot of help