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Solve
Warm
12 + (-17) = -5
12 – 17 =
-21
11 + (-32) =
4
-21 + 25 =
-40
-18 + (-22) =
35 + (-65) = -30
35 – 65 =
113
34 + 79 =
-11 + (-15) = -26
-11 – 15 =
99 + (-105) = -6
99 – 105 =
221+ (-119) =102
221 – 119 =
53
1)
2)
3)
4)
5)
6)
7)
8)
9)
10) 67 + (-14) =
– Up
Integers
-4, -3, -2 , -1 , 0 , 1 , 2, 3, 4

Name the integers in the set.
-4 , -3, -2, -1, 0, 1, 2, 3, 4

Name the whole numbers.
0, 1, 2, 3, 4

Name the least positive integer.
1

Name the greatest negative integer.
-1

Name the integer that is neither positive or
negative.
0
Practice
Write the opposite of the integer.
1) -3
1)3
2) 5
2)-5
3) 8
3)-8
4) -4
4)4
5) -17
5)17
6) 82
6)-82
More Practice
Order the integers from least to greatest.
• -13, 55, 10, -2, 0
-13, -2, 0, 10, 55
•
41, -40 , 42, -43, 44
•
-43, -40, 41, 42, 44
16, 15, 17, 18, -19
•
-19, 15, 16, 17, 18
-11, 10, 9, 8, 7
-11, 7, 8, 9, 10
Absolute
Value
|3|
-5 -4 -3 -2 -1
|3|
0 1 2 3
The absolute value is the distance between the
number and zero.
Example 1: | -3 | = 3
The distance from 0 to -3 is 3.
Example 2: | 3 | = 3
The distance from 0 to 3 is 3.
4
5
Practice
Evaluate the absolute value.
2
1) | -2 | =
2) | 13 | = 13
3) | -22 | = 22
4) |15 | = 15
5) - |10 |= -10
6) - |-10 | = -10
7) | -1123 | = 1123
8) -| -1123 | = -1123
Homework # 9
Evaluate the absolute value.
1)
2)
3)
4)
5)
6)
7)
8)
| 12 | =
| -13 | =
| -42 | =
| 65 | =
- |14 |=
- |-14 | =
| -463 | =
-| -463 | =
Order the integers from least
to greatest.
1) -53, 55, 50, -52, 51
2) -41, 0 , 42, -40, -44
3) -16, -5, 57, 18, -19
4) -41, 30, -29, 8, 7
5) 88, -32, 44, -3, 90
6) -22, 34, 74, -1, 0
7) 93, -4, 3, 0, -2
8) 101, -21, 99, -33, 0
Warm Up
Use the distributive property.
9(3) + 9(7) = 27 + 63 = 90
1) 9 ( 3 + 7) =
11(10) + 11(6) = 110 + 66 = 176
2) 11 ( 10 +6) =
7(12) + 7(3) = 84 + 21= 105
3) 7 ( 12 + 3 ) =
11(10) – 11(6) = 110 – 66 = 44
4) 11 ( 10 – 6 ) =
13(a) + 13(9) = 13a + 117
5) 13 ( a + 9 ) =
13(5a) + 13(11) = 65a + 143
6) 13 ( 5a + 11 ) =
8(12a) + 8(3) = 96a +24
7) 8 ( 12a + 3)=
9(13a) + 9(2b) = 117a + 18b
8) 9 ( 13a + 2b ) =
7(14a) + 7(3b) = 98a + 21b
9) 7 ( 14a + 3b ) =
10) 8 ( 13a + 9b ) =
8(13a) + 8(9b) = 104a + 72b
Power and Exponents
The 5 and 6 is the factor to be multiplied and is called
the base. The 4 and the 2 are the exponent, which
tells how many times the base is to be multiplied.
Example 1
5  5  5  5  5  625
4
6  6  6  36
2
Power and Exponents
This is writing the multiplication using
exponent.
Check that the same factor is being used in the
multiplication.
All factors of 7.
Count the number of times 7 is being
multiplied. There are 6 factors of 7.
Since the factor 7 is being multiplied 6 times,
write
777777  7
6
Practice
Write each multiplication using an
exponent.
•
•
•
•
7
4
7x7x7x7 =
9x9x9x9x9x9x9 =
axaxaxaxa=
16 x 16 = 162
9
7
a
5
More practice
Evaluate each power.
1.
2.
3.
4.
5.
8
2
15
4
3
2
5
3
3
=
2
8 x 8 = 64
=
15 x 15 = 225
=
4 x 4 x4 = 64
=
2 x 2 x 2 x 2 x 2 = 32
=
3 x 3 x 3 = 27
Practice
Evaluate each power.
Write each multiplication using an 8 2 
exponent.
2
•
•
•
•
•
5x5x5x5x5 =
8x8x8x8x8 =
bxbxbxbxb=
12 x 12 =
4x4x4x4x4x4=
15 
43 
25 
33 
42 
112 
63 