Download Intro to Integers Notes to print

Name: ___________________________
___________ hr math
Date: ______________________
MC2 text pg 253-254 (1-42 all) (Bonus 43-58)
Introduction to Integers: Ordering, comparing, absolute value, etc.
Integer— positive or negative whole number
Absolute Value—distance an integer is from zero. The symbol for absolute value is a bar
on each side of a number. |-5| = 5 It has NO negative or positive sign.
Terms that usually have POSITIVE values: Gain, deposit, increase, raise, rise, incline,
higher, have $, earned $, above sea level, above freezing oC, etc,
Terms that usually have NEGATIVE values: Loss, withdrawal, decrease, drop,
decline, lower, borrowed $, spent $, below sea level, below freezing oC, etc
Example 1: Use integers to represent the gains and losses,
deposits, withdrawals, money earned, & money spent.
A) In three plays of a football game, there is a gain of 7 yards, a loss of 10 yards, and a gain of
9 yards.
Gain of 7 =
loss of 10 =
gain of 9 =
B) A bank account has deposits of $100 and $150 and a
withdrawal of $75. Use integers to represent the deposits
and withdrawals.
100 deposit =
$150 deposit =
$75 withdrawal =
C) You earned $200, then borrowed $100, and then spent
$50 last month.
$200 earned =
$100 borrowed =
$50 spent =
Example 2: comparing integers using a number line or money
A) Compare –2 and –5 using =, <, or >.
B) Compare –6 and 1 using =, <, or >.
THINK: owing $2 (-2) is better than & is closer to having
THINK: Having $1 (+1) is better than owing $6 (-6)
money than owing $5 (-5)
“–6 _____ 1” OR “1 _____ –6”
“–2 _____ –5” OR “–5 _____ –2”
Example 3: ABSOLUTE VALUE find the absolute value of the integers
A) |8| =
B) |-7| =
C) |0| =
Example 4: OPPOSITES: find the opposite of the integers
A) 8 =
B) -7 =
GUIDED PRACTICE: answer the following questions:
Compare using <, >, or =.
Deposit of $600 =
C) 0 =
5) A bank account has a deposit of $600
and withdrawals of $100 and $250. Use
integers to represent the deposits and
withdrawals.
withdrawals of $100 =
. withdrawals of $100=
6) 0 _____ -7
7) -9 _____ 4
8) -5 _____ -4
Order from least to greatest:
10) 8, -4, -6, 4, -3, 1
11) -7, -12, -16, -10, -8
Find the absolute value of the number:
12) |100| =
13) |-45| =
14) |-9| =
16) The table shows the average temperatures for six months in the Gobi Desert of Mongolia.
.
9) -3 _____ -13
15) |22| =
a) Which of these months has the lowest ave temp? _____ (b) Graph each integer on a number line to order the temperatures.
17-18) Are these numbers positive or negative integers?
(17a) Temperature of 16oC below freezing: _____________
(18a) 535 feet above sea level: _____________
(17b) Temperature of 22oC above freezing: _____________
(18b) 8 feet below sea level: _______________