Agenda Monday, Nov. 8

Homework 1 p. 182 # 22 - 30p. 188 # 3 - 6, 8 - 11, 16 - 23, 36 - 39

Do NowWrite 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 ScribeMon. Tues. Wed. Fri.

Kaitlyn BrettJulieHunter

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 tunnel to determine the divisibility 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 0a 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

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 10if it ends in 0

·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,

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

·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; 25 = 2 * 2 * 2 * 2 * 2·a power has two parts·a base and an exponent·the expression 32 is read "three to the second power

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 = -3x2y2 read as the opposite of three times x squared times y

squared

Write the expression using exponents.

1. 4 * 4 * 4 43

2. 3 * x * y * y 3xy2

-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

Using Order of Operations

Simplify 2(3 + 4)2

2(7)2 Parenthesis2*49 Exponents 98

Evaluate -3x3 + 4y for x = -2 and y = 4

-3(-2)3 + 4 * 4

-3 * -8 + 4 * 4 24 + 16

40

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