Chapter 4 Review Part 2

Chapter 4 Review: Part 2 October 22 nd 2008 Ms. Dewey-Hoffman

Simplifying Fractions (4.4)
Equivalent fractions are fractions that look the same, but when simplified both give the same fraction in simplest form.
A fraction is in Simplest Form when the numerator and the denominator have no factors in common other than 1.
When simplifying fractions, write the factors.
Cancel out the common factors on the top and bottom.

Try These:
25n 3 a 5 /100n 2 a 10 =
9h 2 b/18ha =
309t 4 s 2 /6t 4 s =

Reasoning Strategies (4.5)
Word Problems!
Look for all of the possibilities.
Make sure you have them all.
If it helps: Make Diagrams
If it helps: Shorten things.
Example: Sammy, Jenny and Ben. Shorten to S, J and B.

Baseball Games
There are seven baseball teams in a league. Each team plays each of the other teams twice. What is the total number of games played?
Team 7: 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1.
2x6 = 12 Games.
Team 6: 5, 5, 4, 4, 3, 3, 2, 2, 1, 1.
2x5 = 10 Games
Team 5: …Figure out the pattern. How many Games?
42 Games Total.

4.6: Rational Numbers
Rational Number: any number that can be written as a fraction, decimal, or ratio
(hence RATIO nal Number)
There are an unlimited number of equivalent fractions for every rational number.
Also, remember you can graph rational numbers on a number line.

Rational Numbers and Variables
To evaluate fractions with variables:
Remember that the fraction bar is a grouping symbol!
First: substitute for variables.
Second: Simplify above and blow the line.
Third: Write the fraction in simplest form.

Try These:
(x 2 + y) + 5 / 25, for x = 10, y = 20
45 – t / t – 52, for t = 28
3  3  y / y + 36, for y = 9

4.7: Exponents and Multiplication
Multiplying two powers with the same base?
Just add the exponents.
5 2  5 8 = 5 10
x 4  x 7 = x 11
Taking the Power of a Power?
Just multiply both exponents.
(3 4 ) 3 = 3 12
(m 9 ) 2 = m 18

Try These:
-7x 6  -5x 8
(d 5 ) 8
x _  x 12 = x 15
(r 4 ) _ = r 20

4.8: Exponents and Division
When dividing two powers with the same base: Subtract the exponents.
When dividing exponents and you come across a negative exponent…
Put the negative exponent below a fraction bar.
Positive exponents above the fraction bar.
Negative exponents go below the fraction bar.
If you get rid of everything above or below the fraction bar it is now 1.

Try These:
5x 2 / 10x -5
6 7 / 6 11
42a 6 b 7 / 7a 3 b 3
Write as a Fraction: 4t 3 y -4
Write without a Fraction: 21x 6 r 5 / 7x 7 r 2

4.9: Scientific Notation
Re-writing numbers, either extremely large or small, using powers of 10.
Negative powers of 10 are small numbers, less then 1 and greater than 0.
Positive powers of 10 are large numbers, much greater than 1.

Standard   Scientific
Scientific  Standard, a negative exponent says move the decimal to the left.
Scientific  Standard, a positive exponent says move the decimal to the right.
Standard  Scientific, really small number means negative exponent.
Standard  Scientific, large number means positive exponent.

Order and Compare
Re-write in Scientific Notation
Compare Exponents
Compare Decimals
Put in Order as Directed
Re-write with Original Numbers

Multiplying in Scientific Notation
When multiplying Scientific Notation…
BREAK INTO FACTORS!!!!
Then MULTIPLY!

Try These:
8.43 x 10 6
2 x 10 -4
(7 x 10 2 )(17 x 10 16 )
0.0000000005067
3,405,000,000

Assignment #28
Pages: 217-218: 26-66 All. PLUS!
Definitions to the bolded words in those three sections: Equivalent Fractions, Simplest Form, Rational Number, and Scientific Notation.
We’re going to do a game on Friday, sorry Folks.
Chapter 4 Test Tomorrow.
Extra Credit is: Page 219: All. (1-76).

Chapter 4 Review Part 2

by Middle School on Oct 22, 2008

Accessibility

Categories

Tags

Upload Details

Usage Rights

2 Embeds 13

Statistics

Chapter 4 Review Part 2 — Presentation Transcript

http://www.slideshare.net	8
http://msdhpowerpoints.blogspot.com	5