Numberline notes
-
Upload
melanieanderson -
Category
Education
-
view
370 -
download
0
description
Transcript of Numberline notes
![Page 1: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/1.jpg)
Number line and Number line and the INTERESTING the INTERESTING
INTEGERS!INTEGERS!
5
-7 -3
-8
4
![Page 2: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/2.jpg)
What You Will Learn:What You Will Learn:
Vocabulary related to integers Comparing of integers Ordering of integers Absolute Value
Are you ready??Are you ready??
![Page 3: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/3.jpg)
Introduction to IntegersIntroduction to Integers•VocabularyVocabulary• positive numberpositive number• negative numbernegative number
•Horizontal & vertical number linesHorizontal & vertical number lines•Comparing IntegersComparing Integers•Ordering IntegersOrdering Integers•Vocabulary - continuedVocabulary - continued• opposite numberopposite number• integerinteger
•Real World Applications & ExamplesReal World Applications & Examples• temperaturetemperature• sea levelsea level• money money
![Page 4: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/4.jpg)
Vocabulary:Integers – all the whole numbers and all of their opposites on the number line including zero
0 1 2 3 4 5 6-1-2-3-4-5-6
integers
![Page 5: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/5.jpg)
Positive number – a number greater than (>) zero
0 1 2 3 4 5 6
Vocabulary:
![Page 6: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/6.jpg)
Hint:Hint:
If you don’t see a negative or positive sign in front of a number, the number is positive.
9 is the same as +9
![Page 7: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/7.jpg)
Negative number – a number less than (<) zero
0 1 2 3 4 5 6-1-1-2-2-3-3-4-4-5-5-6-6
Vocabulary:
![Page 8: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/8.jpg)
Integer Number LineInteger Number Line
Horizontal
Numbers above or right of 0are positive
Numbers below or left of 0
are negative ZER
O
![Page 9: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/9.jpg)
Integer Number LineInteger Number LineV
ertica
lNumbers above
0 are positive
ZERO
Numbers below 0
are negative
![Page 10: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/10.jpg)
0 1 2 3 4 5 6-1-2-3-4-5-6
You would write the comparison as -6 < -1
Comparing IntegersComparing IntegersOn a number line the number to the left is always less than the number on the right.Look at the digit -6 it is less than -1 because it is to the left on the number line.
![Page 11: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/11.jpg)
Use the number line to compare the following integers with >, <, or =.
-4 -2 1 -3 -5 0
Hint: On a number line, the number to the left is always less than the number to the right.
Comparing IntegersComparing Integers
<
< >
![Page 12: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/12.jpg)
Use the number line to compare the following integers with >, <, or =.
Comparing IntegersComparing Integers
Hint: On a number line, the number on the top is always greater than the
number on the bottom.
-3 -5 -5 0 0 -1>
>
>
![Page 13: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/13.jpg)
Ordering IntegersOrdering Integers
Use the number line to put the following integers in order from least to greatest.-4, 3, 0, and -5 -5, -4, 0, 3
![Page 14: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/14.jpg)
Opposite Numbers – numbers that are the same distance from zero in the opposite direction
0 1 2 3 4 5 6-1-2-3-4-5-6
Vocabulary:
![Page 15: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/15.jpg)
What is the opposite of each integer?
+7 -7
+5
-1
+8
+1
5 -8
![Page 16: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/16.jpg)
Is the number’s distance from “0” on the number line.
0 1 2 3 4 5 6-1-2-3-4-5-6
Vocabulary: Absolute Value
The Absolute Value of -3 is 3 because -3 is 3 units from 0.
![Page 17: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/17.jpg)
Now, you’re probably saying, “That’s interesting and everything, BUT where are negative numbers in the real world?? ??
![Page 18: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/18.jpg)
Negative Numbers Are Used to Measure Temperature
![Page 19: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/19.jpg)
Negative Numbers Are Used to Measure Under Sea Level
0102030
-10-20-30-40-50
![Page 20: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/20.jpg)
Positive and negative numbers are used when keeping track of money.
+ Positive +$$ you earn
- Negative -$$ you spend
![Page 21: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/21.jpg)
Positive Numbers are Used to Show Earnings or Assets
When you get paid (or win the lottery), you add that $$ to your account.
![Page 22: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/22.jpg)
Negative Numbers are Used to Show What You Owe or
DebtIf your mom loaned you $10 for pizza, Mom,
I. O. U.$10
The $10 you owe her is described by the integer -10.
![Page 23: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/23.jpg)
Write an integer to describe the real world situation:
Gain 3 pounds:
Withdraw $15:
5 feet below sea level:
Move ahead 4 spaces:
3 or +3
-15
-5
4 or +4
![Page 24: Numberline notes](https://reader036.fdocuments.in/reader036/viewer/2022070302/547ae48eb4af9fed2f8b4673/html5/thumbnails/24.jpg)
Aren’t integersinteresting?