Transcript Comparing & Ordering Integers

Comparing & Ordering Integers
Objective
• Content Objective: We will compare and
order integers. We will communicate
mathematical ideas using graphical models.
• Why learn this: We use positive and negative
numbers to measure temperature, height (as
in above and below sea level), money, and
more. We use absolute value to determine
the distance from a point, without regard to
the direction we are moving from that point.
Vocabulary
• integers: all positive whole numbers, their
opposites, and zero.
• opposites: two numbers that are the same
distance from zero on the number line, but in
opposite directions. Ex. 2, -2
• absolute value: a number’s distance from zero
on the number line (always a positive value).
Finding Absolute Value
Find the l3l and l-3l.
l3l and l-3l = 3
Quick Practice
Write the opposite of each number.
a) 2
b) 4
c) -3
d) -11
a) -2
b) -4
c) 3
d) 11
Quick Practice
Find each absolute value.
a) l-21l
b)l14l
c) l-1l
d)l21l
a) 21
b)14
c) 1
d)21
Comparing Integers
Compare -4 and 1 using <, =, or >.
Remember, numbers increase going from left to right.
-4 < 1
Quick Practice
Which number in the pair is farther away from
zero.
a) 4, -5
b) 2, 5
c) -1, -3
d) -12, 11
a) -5
b) 5
c) -3
d) -12
Quick Check
Compare using <, =, or >.
a) -6 -3 b) -23 0
a) -6 < -3 b) -23 < 0
e) l-21l 21
e) l-21l = 21
c) 17 -18
c) 17 > -18
f) -14 l14l
f) -14 < l14l
d) 5 -1
d) 5 > -1
c) l-1l -5
c) l-1l > -5
Ordering Integers
Order the numbers -8, 7, -4, and 3 from least
to greatest. Use a number line to plot the
points. Then put them in order from least to
greatest.
Remember, numbers increase going from left to right.
-8, -4, 3, and 7
Quick Practice
In golf, the person with the lowest score is the
winner. Rank the players below by ordering
their scores from lowest to highest.
Player
B. Hive
L. Emons
T. Ricks
J. Umps
P. Tree
Score
-12
-4
+10
-3
-5
1. B. Hive
2. P. Tree
1. L. Emons
2. J. Umps
3. T. Ricks
l-4l > l-3l
l12l
= l-12l
l-20l >
l10l
l-14l < l-15l
l-7l >
6
-5
< l-4l
-15
<
5
l-13l
>
l12l
19
= l-19l
l-27l <
28