Transcript Integers Aug2627x

DO NOW
COMPARE. USE <,>, OR =.
1)
12___18
2)
43___23
3)
12+3___13+2
4)
3+16___4*3
5)
64-27___17+34
Problem
 The highest elevation in North America is Mt.
McKinley, which is 20,320 feet above sea level.
The lowest elevation is Death Valley, which is
282 feet below sea level. What is the distance
from the top of Mt. McKinley to the bottom of
Death Valley?
 Name the opposite of the given words.
1.
2.
3.
4.
5.
Hot
Open
Above
Plus
Positive
INTEGERS
Define integers, absolute value, and opposites.
 Integers are the whole numbers and their
opposites.
 The absolute value of a number is its distance
from 0 on a number line.
 Two numbers that are the same distance from 0 on a
number line are opposites.
 The number line goes on forever in both directions. This is
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indicated by the arrows.
Whole numbers greater than zero are called positive integers.
These numbers are to the right of zero on the number line.
Whole numbers less than zero are called negative integers. These
numbers are to the left of zero on the number line.
The integer zero is neutral. It is neither positive nor negative.
The sign of an integer is either positive (+) or negative (-), except
zero, which has no sign.
Two integers are opposites if they are each the same distance
away from zero, but on opposite sides of the number line. One
will have a positive sign, the other a negative sign. In the number
line above, +3 and -3 are labeled as opposites.
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 Write an integer to describe each situation.
 8 steps backwards ________
 Gained 32 yards ________
 Deposit of $250 ________
 8 degrees below zero ________
 1000 feet below sea level ________
Looking at numbers on a vertical number line can be useful.
Examples of Comparing Integers
Which is greater, -5 or -3?
Locate both numbers on the number line. Numbers
to the right are greater. -3 is to the right of -5 so -3 is
greater.
Zero is neither positive or
negative
Put the following numbers in order starting with the least. -23,
17, -32, 2, -4, 0
Start looking at the negative numbers as these are always less
than positive numbers. Start with the "biggest" negative
number ( -32) as that has the lowest value.
Find the next "biggest" negative number (-23) and continue
until the negative numbers are in order.
Zero and positive numbers can then be put into order to give
the following complete list:
-32 , -23 , -4 , 0 , 2 , 17
Exit Ticket
1. What is an integer?
2. Is .5 an integer?
3. What is the opposite of -100?
4. What can you tell me about negative
integers in respect to its distance from 0 on
a number line?
5. The absolute value of a number is always
what kind of number?
6. What is │-12│?
Exit Ticket
1. What is an integer? The whole numbers and their
opposites.
2. Is .5 an integer? No, because it is not a whole
number.
3. What is the opposite of -100? 100
4. What can you tell me about negative integers in
respect of its distance from 0 on a number line?
Further left, the smaller it gets.
5. The absolute value of a number is always what kind
of number? Positive
6. What is │-12│? 12
7. What is │12│? 12