1. Agenda Monday, Nov. 8
Homework 1 p. 182 # 22 - 30
p. 188 # 3 - 6, 8 - 11, 16 - 23, 36 - 39
Do Now
Write down all the divisibility rules you know.
Example: a number is divisible by 2 if it ends in 0, 2, 4, 6, or 8
Divisibility rules
Exponents
Daily Scribe
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Kaitlyn BrettJulieHunter

3. a number is divisible by 9
if the sum of its digits
is divisible by 9
The Magic Tunnel!
grab a number
and slide through the tunne
to determine the divisibilit
rule
a number is divisible by 3
if the sum of its digits
is divisible by 3
a number is divisible by 5
if it ends in 0 or 5a number is divisible by 10
if it ends in 0
a number is divisible by 4
if it's last two digits are
divisible by 4
a number is divisible by 2
if it ends in 0, 2, 4, 6, 8

4. a number is divisible by 2
if it ends in 0, 2, 4, 6, 8
a number is divisible by 3
if the sum of its digits
is divisible by 3
a number is divisible by 4
if it's last two digits are
divisible by 4
a number is divisible by 5
if it ends in 0 or 5
a number is divisible by 9
if the sum of its digits
is divisible by 9
a number is divisible by 10
if it ends in 0

5. ·Herbivores have wide, flat teeth for grinding leaves, grasses and other plants
·The front of the Herbivores incisor is made of a stronger materials than the back of the incisor
·Goats are examples of herbivores
Factors
·one integer divides into another number with a remainder of zero
·example: factors of 6 are 1, 2, 3,

6. List the positive factors of:
1. 10 1, 2, 5, 10
2. 21 1, 3, 7, 21
3. 24 1, 2, 3, 4, 6, 8 ,12 ,24
4. 31 1, 31

7. ·Herbivores have wide, flat teeth for grinding leaves, grasses and other plants
·The front of the Herbivores incisor is made of a stronger materials than the back of the incisor
·Goats are examples of herbivores
Exponents
·exponents can be used to show repeated multiplication; 2
5
= 2 * 2 * 2 * 2 * 2
·a power has two parts
·a base and an exponent
·the expression 3
2
is read "three to the second power

8. Examples
1. 5 * 5 * 5 = 53
2.
(-3)(-3) = (-3)2
read as negative three to the second
power
3. -4 *
When expression involve variables:
3. 4 * b * a * b = 4ab2
4.
-3 * x * x * y * y = -3x2
y2
read as the opposite of three times x squared times y squared

9. Write the expression using exponents.
1. 4 * 4 * 4 43
2.
3 * x * y * y 3xy2

10. -x4
means the opposite of x to the fourth power
(-x)4
means negative x to the fourth power
Evaluate each for x = 2
-24
= -2 * 2 * 2 * 2 = -16
(-2)4
= (-2)(-2)(-2)(-2) = 16
You try: Evaluate -x4
and (-x)4
, for x = 3
-x4
= -34
= -3 * 3 * 3 * 3 = -81
(-x)4
= (-3)4
= (-3)(-3)(-3)(-3) = 81

11. Using Order of Operations
Simplify 2(3 + 4)2
2(7)2
Parenthesis
2*49 Exponents
98
Evaluate -3x3
+ 4y for x = -2 and y = 4
-3(-2)3
+ 4 * 4
-3 * -8 + 4 * 4
24 + 16
40

12. Your turn.
1. Simplify 2 * 52
+ 4 * (-3)3
2 * 25 + 4 * -27
50 + - 108
-58
2. Evaluate 3a2
+ 6, for a = -5
3(-5)2
+ 6
3 * 25 + 6
75 + 6
81