chapter 4.1 and 4.2
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Divisibility Rules, factors & exponentsTRANSCRIPT
Agenda Monday, Nov. 9
Homework 2 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 Scribe - Danielle
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 5
a number is divisible by 10if 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
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
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
When expression involve variables:
4. 4 * b * a * b = 4ab2
5. -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 * y3xy2
-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
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