Operations with Integers 1.3

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Transcript Operations with Integers 1.3

Warm Up
Name each property
1.
2.
3.
4.
5.
4 + (3 + 6) = (4 + 3) + 6
a(b – c) = ab – ac
8 + -8 = 0
(ab)c = (ac)b
3+2=5
1
6. 3   1
3
Answers
1. Associative
property of
addition
2. Distributive
property
3. Inverse property
of addition
4. Commutative
property
5. Closure
6. Inverse property
of multiplication
Lesson 1.3 Operations with
Integers
SWBAT: Recognize, be able to solve problems
involving addition, subtraction, multiplication
and division of integers.
1. Adding integers
 When
signs are alike, add the
numbers and keep the sign.
-7
 Ex 1. -3 + -4 = ________
 Ex
32
2. 12 + 20 = ________
1. Adding integers continued
●When signs are opposite, subtract
the numbers and use the sign of the
bigger number.
 Ex
3. -10 + 7 = _____
-3
 Ex
2
4. -12 + 14 = _____
2. Subtracting integers
•When subtracting integers, change the
subtraction sign to an addition sign, and
do the opposite to whatever follows.
 Ex
5. -5 - -3 = _______
-2
 Ex
-19
6. -9 - 10 = _______
3. Comparing integers

The number to the right on a number
line is always larger. (>,<, =)

Ex 7.
< -2
-7 ___

Ex 8.
-5 ___
> -8
4. Multiplying and Dividing
Integers.
 When
signs are alike, your
answer is positive.
8
 Ex 9. (-4)(-2) = ______
 Ex
72
10. 9(8) = ______
4. Multiplying and Dividing
Integers continued.
 When
signs are opposite, your
answer is negative.
-36
11. -9 (4) = ______
 Ex.
 Ex
-36
12. 12 (-3) = ______
Your Turn
1.
2.
3.
4.
5.
6.
-5 + -2 =
4–5=
-3 – -6 =
(-3)4 =
(-4)(-4) =
7(6)=
1. -7
2. -1
3. 3
4. -12
5. 16
6. 42
Summary:

Name the different sets of rules when adding,
subtracting, multiplying, and dividing integers.
How will you remember them?
Homework:

Worksheet