Transcript 9-1 Factors and Greatest Common Factors

Do Now
Leave your notebooks and writing utensils
away, take out ONLY your calculators.
Use your calculator to simplify:
(3.5 x 104)(5.7 x 106)
a) 1.995 x 1010
b) 1.995 x 1011
c) 1.995 x 10– 10
d) 19,950,000,000
Midterms
• While some of you did very well, many of your
midterm grades could have been better.
• Quite a few of you did not hand in the take home
quiz or the review labs.
• Quite a few of you were not as focused as you
could have been during the review.
• Keep this in mind: YOU HAVE TO PASS THE
REGENTS IN JUNE TO GRADUATE!!!!
• If you fail math this year, you have to repeat it
again next year.
• Let’s start the new semester on a better note!!
Let’s Look at Your Tests
You can only have your calculators out.
KEEP ALL NOTEBOOKS AND WRITING
UTENSILS AWAY!!!
* We’re only going to look at your tests
quickly. If you would like to look at your
test more, come see me and we can go over
it one day after school.
Factors
When two numbers are multiplied, each
number is called a factor of the product.
List the factors of 18:
18: 1, 2, 3, 6, 9, 18
* Calculators: Y = (your number) / x
Prime and Composite Numbers
Prime Number – a whole number greater than
1, that’s only factors are 1 and itself.
ex. 2, 3, 5, 7, 11, 13, 17, 19
Composite Number – a whole number greater
than 1, that has more than two factors.
ex. 4, 6, 8, 9, 10, 12, 14, 15, 16, 18
Factor each number. Then classify it as prime
or composite.
a. 17
Answer: 1, 17; prime
b. 25
Answer: 1, 5, 25; composite
Greatest Common Factor
Greatest Common Factor (GCF) – the greatest
number or monomial that is a factor of ALL of
the original terms.
Steps:
1. Factor the smallest coefficient.
2. The GCF is the largest factor that goes into
ALL of the other coefficients.
3. For each variable that ALL of the terms have,
the GCF is always the smallest exponent.
Finding the GCF
Find the GCF of each set of monomials.
1) 48, 60
2) x3, x5
3) z4, z2
4) 12a5, 18a2
5) 18xy, 36y2
6) 36x2y, 54 xy2z
4) 12a5c7, 24a3b2c, 18a10b4c3
Homework
Chapter 9 Packet
Pgs. 524 multiples of 3 (right column)