Download Integer Review (Chapter 2 Lessons 1 and 2)

Integer Review
(Chapter 2 Lessons 1 and 2)
Review:
Sets of numbers you’ve already studied:
Natural numbers (also called the counting
numbers)
{1, 2, 3, 4, …}
II. Whole numbers
{0, 1, 2, 3, 4, …}
Lesson concept:
A.Integer – a positive or negative whole
number. (p.56)
Integers = {…,-3, -2, -1, 0, 1, 2, 3, …}
 No fractions or decimals
 Zero is neither positive or negative
Who recalls what the following symbol
is called? What does it mean?
The symbol
stands for “absolute value”
and it means “what is the distance a number is
from zero on the horizontal number line.”
5 =5
−5 = 5
both answers are 5
because both numbers are
5 units away from zero on
the number line
What do you think the answer is to the
following problem?
− 10 =
Solve the following:
13 =
− 20 =
0 =
12 − 10 =
Compare. Use < , > , or =.
4
− 4
−16 − −3
25
−25
19
28 + −6
18
When adding integers, there are two cases to
consider:
Adding integers with the same sign.
Ex 1,
7 + 5 = ________
–3 + (–12) = _______
a) Add the values together
b) Carry the sign of the numbers into the answer
Adding integers with different signs.
Ex 2,
10 + (–4) = ______
8 + (–12) = ______
a) Subtract the two numbers
b) Use the sign of the number with the greater absolute
value.
Give it a try!
13 + (–16) = ____
24 + (–4) = ____
Defn. Opposites – two numbers with the same absolute
value but different signs. (p. 66)
Ex 3,
5 and –5
Defn. Additive inverse – the opposite of a given number
(p. 66)
Ex 4,
The additive inverse of 3 is ___
What is the additive inverse of –8? _____