  # Math 4010 Review

Tomorrow: Questions and answers, on chapters 1–3, and the current home works.
Wednesday: Exam 1, closed books and notes, no calculators. I won’t be able to answer
questions during the exam, on your way out pick up an answer sheet. Do check your

Understand every term , phrase, and concept mentioned in the following notes.
Go over them today, and ask any questions tomorrow. Everything you see here
is covered in the textbook.

• Base conversion. To convert from base 10 to another base, use repeated division with
remainder
. To convert to base 10 from another base, use nested multiplication. Indicate a
base other than 10 by writing the word describing the base as a subscript. • Sets and Venn Diagrams. Understand the following notations:
x ∈ A, A∩B, A∪B, A−B, A ⊆ B, n(A), {a, b, c} , {x|something about x} .
Know how to draw and use Venn diagrams.

• Vocabulary of arithmetic operations . add, multiply, subtract, divide, addition, multiplication,
division, subtraction, sum, product, difference, quotient, term, addend, minuend,
subtrahend, divisor, dividend, plus, minus, times , divided by, +, −, /, ×, *, a missing
operator means multiplication. Precedence of operations: multiplication and division
come before addition and subtraction , for operations of equal precedence work from left to
right, use parentheses to overrule these conventions. Powers, exponent, base, ˆ , **. Concepts
of >, <, ≥, ≤, =, ≠. Whole Number Line . Thousands, millions, billions, trillions,

Properties of arithmetic operations with whole numbers. Associative, Commutative, Closure,
Identity properties of addition and multiplication, Distributive Law . Rules for powers .
Anything non-zero to the power zero is 1. Zero to any positive power is zero. 1 to any
power is 1. You multiply two powers with the same base by adding the exponents, and
you take a power to a power by multiplying the exponents. Division by zero, and zero to
the power zero are undefined.

Roman Numbers . Be able to convert back and forth between Roman and decimal numbers .
Understand the conventions (add if the smaller is to the right, subtract if it ’s to the left)
and know the meaning of the symbols : I, V, X, L, C, D, M.

• Word problems. Go over past word problems. Many of the problems in hw 1 (and later
hws) come with solutions .

Understand the techniques we discussed of introducing the arithmetic operations. Addi-
tion: Set and measurement models; Subtraction: set model (the textbook calls this the
set model ( Cartesian product ), rectangular array (measurement) approach; Division: parti-
tive and measurement division, missing factor approach. Powers: repeated multiplication.

 Prev Next

Start solving your Algebra Problems in next 5 minutes!      2Checkout.com is an authorized reseller
of goods provided by Sofmath

Attention: We are currently running a special promotional offer for Algebra-Answer.com visitors -- if you order Algebra Helper by midnight of February 8th you will pay only \$39.99 instead of our regular price of \$74.99 -- this is \$35 in savings ! In order to take advantage of this offer, you need to order by clicking on one of the buttons on the left, not through our regular order page.

If you order now you will also receive 30 minute live session from tutor.com for a 1\$!

You Will Learn Algebra Better - Guaranteed!

Just take a look how incredibly simple Algebra Helper is:

Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor: Step 2 : Let Algebra Helper solve it: Step 3 : Ask for an explanation for the steps you don't understand: Algebra Helper can solve problems in all the following areas:

• simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
• factoring and expanding expressions
• finding LCM and GCF
• (simplifying, rationalizing complex denominators...)
• solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
• solving a system of two and three linear equations (including Cramer's rule)
• graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
• graphing general functions
• operations with functions (composition, inverse, range, domain...)
• simplifying logarithms
• basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
• arithmetic and other pre-algebra topics (ratios, proportions, measurements...)

ORDER NOW!         