Download Extending the Number Line

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Law of large numbers wikipedia, lookup

Collatz conjecture wikipedia, lookup

Proofs of Fermat's little theorem wikipedia, lookup

Elementary mathematics wikipedia, lookup

Georg Cantor's first set theory article wikipedia, lookup

Addition wikipedia, lookup

Large numbers wikipedia, lookup

Positional notation wikipedia, lookup

P-adic number wikipedia, lookup

Approximations of π wikipedia, lookup

Real number wikipedia, lookup

Arithmetic wikipedia, lookup

Infinity wikipedia, lookup

Infinitesimal wikipedia, lookup

Location arithmetic wikipedia, lookup

Foundations of mathematics wikipedia, lookup

Mathematics of radio engineering wikipedia, lookup

Abuse of notation wikipedia, lookup

Surreal number wikipedia, lookup

Ethnomathematics wikipedia, lookup

History of logarithms wikipedia, lookup

Bernoulli number wikipedia, lookup

Transcript
Extending the Number Line
The opposite of a number is the same distance from 0 on a number line as the original number, but on the other side of 0. Zero is its own opposite.
Integers are the set of whole numbers and their opposites
Extending the Number Line
Investigation 1.2
Remember: All numbers on the number line must be equally spaced apart with even intervals of numbers
Order the following integers from least to greatest:
Integers increase in value as you move to the right along the number line.
­2, 5, 1, ­1, ­7
Integers decrease in value as you move to the left along the number line.
Hint: Writing numbers on a number line makes it easier to tell which numbers are bigger and which are smaller
Numbers on the left of 0 are smaller than the numbers to the right
Remember:
The symbol < means "is less than"
The symbol > means "is greater than"
Compare using <, >, or =
A. ­32 = 32
From least to greatest: ­7, ­2, ­1, 1, 5
B. ­15 < ­8
C. 2 > ­1
D. 0 > ­7
1
Extending the Number Line
Estimate the values for points A­E
A
|
|
C
B
|
|
|
|
|
­8 ­7 ­6 ­5 ­4 ­3 ­2
A: |
|
­1 0 1
B: E
D
|
C: |
|
|
|
2 3 4 5
D: |
|
|
6 7 8
E:
Now, using the estimations for each point, state the number's opposite for each.
A: B: C: D: E:
For each pair of temperatures, identify which temperature is further from ­2℉. Explain how you decided.
D. ­10℉ or +7℉
A. +6℉ or ­6℉
B. +2℉ or ­7℉
E. ­4℉ or 0℉
C. ­7℉ or +3℉
F. +7℉ or ­12℉
Identify the temperature that is halfway between each pair of temperatures. Explain your reasoning.
D. ­8℉ and +8℉
A. 0℉ and +10℉
B. +5℉ and ­15℉
E. ­3℉ and 0℉
C. ­5℉ and +15℉
F. +7℉ and ­3℉
Rational Numbers are numbers that can be expressed as a fraction, repeating decimal, or a terminating decimal.
­2
Examples: ­2 = 1
3.25 = 3 1 or 13
4
4
1 = 0.333....
3
Are integers rational numbers?
Is zero a rational number?
2