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In order for students to begin learning ** multiplication**, they will need a strong foundational grasp of addition facts. It is this strong understanding and mastery of addition facts and concepts that

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Table of Contents
PREFACE iii
1. Introduction 1
2. What is base 5 number 1
3. How to read a ** Multiplication** TABLE 2
4. How to read an Addition TABLE 3
5. Process of multiplying two base 5 number 3
APPENDIX A: LIST OF FIGURES 6
APPENDIX B: REFERENCE PAGE 6
ii
PREFACE
Thanks the help of my professor Nancy Acemian and the students who contribute their ideas when I write this instruction.
Wenjun zhu
February 2008
iii
1. Introduction
In...

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Objectives
Students will do the following:
1.
Discuss how to solve word problems involving time and money
2.
Work as a class to solve word problems focusing on addition, subtraction, ** multiplication**, and simple fractions
3.
Work with a partner to make up their own word problems
Materials
The class will need the following:
•
Overhead projector with transparencies and pens
Procedures
1.
Begin the lesson by asking students to think about how time and money are...

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numbers have the two basic properties of being an ordered field, and having the least upper bound property. The first says that real numbers comprise a field, with addition and ** multiplication** as well as division by nonzero numbers, which can be totally ordered on a number line in a way compatible with addition and

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to the left of most significant digit and the exponent of the result should than be decreased accordingly.
** Multiplication**
Let two number to be multiplied are x and y and the result of the

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variables and remember their meanings
* Look for the "key" words (above)
Certain words indicate certain mathematical operations:
Math expressions (examples):
after you review the keywords, test yourself
addition: 5+x | subtraction: 5-x |
** multiplication**: 5*x; 5x | division: 5 ÷ x; 5/x |
Exercise: ("mouse over" the block for answer) |
Key words for addition +
increased by; more than; combined together; total of; sum; added to |
What is the sum of 8 and y? | 8 + y |
Express the number (x)...

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(-B)=(-1)
2 4
1 1 2 3
3 2 4 4
=>
0 1
1 0
Scalar ** Multiplication**
If A is an mxn matrix and k is a real
number then, by kA, we denote the mxn
matrix obtained by multiplying each entry
in A by k so that (kA)ij=kAij. This operation
is called scalar

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being used to show the exponent for the variable a.
2w – 3 + 3(w – 4) – 5(w – 6) We were given this expression to simplify.
2w – 3 + 3w – 12 – 5w + 30 our first step to simplify is to remove the parenthesis and do the ** multiplication**.
2w + 3w – 5 w – 3 – 12 + 30 Now we will need to take our new expression and combine our like terms by adding our coefficients.
15 15 represents our original expression in its simplest terms.
0.05(0.3m + 35n) – 0.8(-0.09n – 22m)...

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values are substituted it would be a conditional equation since there is only one possible value for a to make it true.
233(24) = 800(a+1)/24(24) multiply 24 on both sides to get rid of the denominator
5592=800(a+1) ** multiplication** carried out
5592/800= 800(a+1)/800 Divide both sides by 800
6.99=a+1 Division carried out
6.99-1=a+1-1 Subtract 1 on both sides to isolate a
5.99=a
The dose of 233mg is prescribed...

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denominator is multiplied
4,761 times each numerator term: 17, 703W, 22.
17(4,761) < 703W(4,761) < 22(4,761) This allows cancelling.
4,761
80,937< 703W < 104,742 After ** multiplication** is carried out,
80,937< 703W < 104,742 703 is divided into each term to isolate W.
703 703 703
115.131< W <148.993 The range of weight is shown here.
Weighing between 115.13 lbs. and 149 lbs., at 69 inches in height...

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