Download Integers

-3.4
-$1.24
53
+$90
-21
+ 1/2
+4
0
-50%
Integers
• Integers are whole numbers
that describe opposite ideas in
mathematics.
• Integers can either be
negative(-), positive(+) or zero.
• The integer zero is neutral. It is
neither positive nor negative, but
is an integer.
• Integers can be represented on
a number line, which can help us
understand the valve of the
integer.
Positive Integers
• Are to the right of zero
• Are valued greater than
zero.
• Express ideas of up, a gain
or a profit.
• The sign for a positive
integer is (+), however the
sign is not always needed.
• Meaning +3 is the same
value as 3.
Negative Integers
• Are to the left of zero
• Are valued less than
zero.
• Express ideas of down
or a lose.
• The sign for a negative
integer is (-). This sign
is always needed.
Zero is neither positive
or negative
Negative integers
are valued less than zero,
and are always to the left of
zero.
Positive integers
are valued more than zero,
and are always to the right
of zero.
The “net worth” of
opposite integers is
zero.
Absolute Value
• Opposite integer have the same
“absolute value”, meaning the
distance from the points on a number
line to zero is the same.
• Absolute value of a number is never
represented as a negative number.
Ex: l-5l = 5
l-31l = 31
l10l = 10
Which integer
has a higher
value?
-4 or -8
Comparing Integers
Use your number line to help you compare each set of number.
(i.e. for the numbers 3 ,and - 2 …. 3 > -2
-2 < 3)
a) - 6, 7
b) 12, 3
c)- 5,- 8
d) 11, - 15
e) - 7, - 4
f) - 3, - 7
g) 7, - 8
h) - 13, -14
Putting Things Together
• What is the greatest valued negative
integer?
Comparing Integers
Use your number line to help you compare each set of
numbers. Copy the question and write two sentences for
each pair of numbers.
(i.e. for the numbers 3 ,and - 2 …. 3 > -2
-2 < 3)
a) - 6, 7
b) 12, 3
c)- 5,- 8
d) 11, - 15
e) - 7, - 4
f) - 3, - 7
g) 7, - 8
h) - 13, -14
i) 8, 7
j) - 8, - 7
k) 5, -1
l) 0, -2
m) 0, 3
n) - 5, 0
o) – 14, -10
p) - 9, 0
q) -7, -6
r) -1, 0
s) 4, -4
t) 0, -15
Comparing Integers Again
• For each of the
previous questions (a)
to (t), write a new
mathematical sentence
showing how much
bigger or smaller the
first number is than
the second.
• (i.e. 3, - 2 ….. 3 is 5
more than –2)
Comparing Integers
• -5 ___ -8
• 0 ___ -3
• 3 ___ +2