Calculators can perform math functions quickly and easily. The most common functions are addition (+), subtraction (-), multiplication (*) and division (/). Press the “=” sign to get the answer. Note that many calculators use different symbols for multiplication (x) and division (÷), and "C" for "Clear"—the erase function. To use the calculator,

The Simple Virtual Calculator supports the following operations: • Addition (key '+')
• Subtraction (key '-')
• Multiplication (key 'X')
• Division (key '/')

Memory Operation

The calculator has one memory that can be used for storing values temporarily. To clear the memory (set it's value to 0), press the key 'MC'. To recall the value stored in memory use the key 'MR'. To add to the value in memory, press 'M+'. To subtract a value from the memory use the key 'M-'. Turn the calculator on by pressing the "On/C" button. Turn the device off by pushing the "2ndF" button and then "Off." ON

CE.C clears the last number you entered (‘clear entry’) and turns the calculator on. AC clears all numbers entered (‘all clear’).
This is what a calculator can look like. However, every calculator is slightly different. Keys
÷ x + are called operation keys.
0. is the display (for the numbers you have entered
and the answer when you finish).
More function keys
These keys are called advanced function keys.
% is the percentage key.
+/- changes between positive and negative numbers.
MR M- M+ MC are memory keys.
[pic]
[pic]

Modes = Press mode then relevant number depending on what operating mode you wish to use(stats mode is usually one of the options) Or
Press Stat button on calculator to operate the calculator in statistics mode Off = Turns off the calculator in any functional mode
ON = Swithces on the calculator
C = cancel all input into the calculator
CE = cancel last entry into calculator
Basic Calculations = x, -, +, / These are the basic calculations to all mathematical solutions. Numbers = The...

...− 1)( − 2 − 2) = ( − 3)( − 4) = 12
276
Factor denominator
Identify LCD
Multiply each term by LCD, reduce
Distribute
Combine like terms
Make equation equal zero
Subtract 11 from both sides
Factor
Set each factor equal to zero
Solve each equation
Check answers, LCD can ′t be 0
Check 5 in (x − 1)(x − 2), it works
Check − 2 in (x − 1)(x − 2), it works
Source URL: http://www.wallace.ccfaculty.org/book/Beginning_and_Intermediate_Algebra.pdf
Saylor URL: http://www.saylor.org/courses/ma001/
Attributed to: Tyler Wallace
Saylor.org
x = 5 or − 2
Our Solution
World View Note: Maria Agnesi was the ﬁrst women to publish a math textbook in 1748, it took her over 10 years to write! This textbook covered everything
from arithmetic thorugh diﬀerential equations and was over 1,000 pages!
If we are subtracting a fraction in the problem, it may be easier to avoid a future
sign error by ﬁrst distributing the negative through the numerator.
Example 370.
x−2 x+2 5
−
=
x−3 x+2 8
x−2 −x−2 5
+
=
x+2
8
x−3
Distribute negative through numerator
Identify LCD, 8(x − 3)(x + 2), multiply each term
(x − 2)8(x − 3)(x + 2) ( − x − 2)8(x − 3)(x + 2) 5 · 8(x − 3)(x + 2)
+
=
Reduce
x−3
x+2
8
8(x − 2)(x + 2) + 8( − x − 2)(x − 3) = 5(x − 3)(x + 2)
8(x2 − 4) + 8( − x2 + x + 6) = 5(x2 − x − 6)
8x2 − 32 − 8x2 + 8x + 48 = 5x2 − 5x − 30
8x + 16 = 5x2 − 5x − 30
− 8x − 16
− 8x − 16
2
0 = 5x − 13x − 46
0 = (5x − 23)(x + 2)
5x − 23 = 0 or...

...Divisor | Divisibility condition | Examples |
1 | Automatic. | Any integer is divisible by 1. |
2 | The last digit is even (0, 2, 4, 6, or 8).[1][2] | 1,294: 4 is even. |
3 | Sum the digits. If the result is divisible by 3, then the original number is divisible by 3.[1][3][4] | 405 → 4 + 0 + 5 = 9 and 636 → 6 + 3 + 6 = 15 which both are clearly divisible by 3.
16,499,205,854,376 → 1+6+4+9+9+2+0+5+8+5+4+3+7+6 sums to 69 → 6 + 9 = 15 → 1 + 5 = 6, which is clearly divisible by 3. |
| Subtract the quantity of the digits 2, 5 and 8 in the number from the quantity of the digits 1, 4 and 7 in the number. | Using the example above: 16,499,205,854,376 has four of the digits 1, 4 and 7;four of the digits 2, 5 and 8; ∴ Since 4 − 4 = 0 is a multiple of 3, the number 16,499,205,854,376 is divisible by 3. |
4 | Examine the last two digits.[1][2] | 40832: 32 is divisible by 4. |
| If the tens digit is even, and the ones digit is 0, 4, or 8.
If the tens digit is odd, and the ones digit is 2 or 6. | 40832: 3 is odd, and the last digit is 2. |
| Twice the tens digit, plus the ones digit. | 40832: 2 × 3 + 2 = 8, which is divisible by 4. |
5 | The last digit is 0 or 5.[1][2] | 495: the last digit is 5. |
6 | It is divisible by 2 and by 3.[5] | 1,458: 1 + 4 + 5 + 8 = 18, so it is divisible by 3 and the last digit is even, hence the number is divisible by 6. |
7 | Form the alternating sum of blocks of three from right to left.[4][6] | 1,369,851: 851 − 369 + 1 = 483 = 7...

...Fractions are ways to represent parts of a whole. Common fractions are ½ and ¾. These are proper or regular fractions. Some fractions are called mixed numbers. These are represented by a whole number with a fraction (proper fraction). 1 ½ and 2 ¾ are good examples. An improper fraction has a larger number on the top than on the bottom, such as 9/8. I will explain how to convert these fractions to decimals. I will show you how to change an improper fraction to a mixed number. Operations (addition, subtraction, multiplication, and division) will be explained as well.
CONVERSIONS
This section will explain how to convert a fraction into a decimal. First, let's get an example fraction. How about 3/8? To find a decimal, divide the numerator (top number) by the denominator (bottom number). So we would divide 3 by 8. 3)8=0.375 or .38. Lets do another. Try 1/3. 1)3=.33333... So 1/3 is equal to about.33.
Next comes the mixed numbers to the improper fractions . All you do is multiply the denominator by the whole number and add the numerator. This is the numerator of the improper fraction. You keep the same denominator. Let's try 2¾. Four times two is eight. Eight plus three is eleven. Keep the denominator and you have 11/4. Now to convert the improper fraction into a mixed number. You need to remember, keep the same denominator. 9/2=4½. 2 goes into 9 4 times. There is 1 left over. So, it equals 4½.
OPERATIONS
First, I will explain how to add like fractions, then, unlike...

... Unit – Rates, Ratios, Proportions
Rates
A car travelled 348 km in 4 hours .Write the unit rate that describes how fast the car was going.
348 4
4 4
87 1
The car travelled 87 km per hour.
Ratios
A ratio is comparison of measured quantities.
It can be written in two ways:
1. 5:6
2. 5/6
Proportions
A proportion is a statement that two ratios are equal.
1. 4:6 = 2:3
2. 4/6 = 2/3
Fractions into Decimals
Divide numerator with denominator
1. 2/5
= 0.4
2. 6/20
=0.3
Fractions into Percent
Change the fraction to decimal first. Then multiply the decimal by 100.
1. 4/5 = 0.4 =0.4 * 100
=40%
2. 8/40
=0.2 * 100
=20%
Decimals to fraction
Count the decimal places. Reduce
1. 0.432
=432/1000
=54/125
2. 1.52
=152/100
=76/50
=38/25
Decimal to Percent
Multiply with the decimal with 100.
1. 0.45
=0.45 * 100
=45%
2. 0.325
=0.325 * 100
=32.5%
Percent to Fraction
Take the fraction and place it over 100.
1. 25%
=25/100
=1/4
2. 16%
=16/100...

...Grade I MTAP Math Challenge Questions and Reviewer I
Math Challenge
Grade I
Score: __________
Name: ______________________________
School: ___________________________
__________1. Joe found out he can do 6 problems in 15 minutes. About how long will it take Joe finish 18 problems?
__________2. Manie found out he can do 5 problems in 23 minutes. About how long
will it take Manie finish 20 problems?
__________3. Ann took 55 minutes to do her assignment. Rosa took 12 minutes less
than Elsie. How many minutes did Rosa take to do her assignment?
__________4. Lika took 1 hour and 5 minutes to do her assignment. Tita took 48
minutes less than Lika. How many minutes did Tita take to do her assignment?
__________5. Mother had ₱50. She gave an equal amount to each of her 3 children.
She had ₱10 left. How much did each child get?
__________6. Father had ₱150. He gave an equal amount to each of his 3 children. He
had ₱30 left. How much did each child get?
__________7. How many numbers between 11 and 99, have 0 as their ones digit?
__________8. In 5 5 7 8 2 8 4 6 4 9 1 3 , how many pairs with a sum of 10 can you can find? A number may be used with 2 different neighboring numbers.
__________9. A rectangle is 25 cm long. The perimeter is 84 cm. What is 84 cm. What
is the width of the rectangle?
__________10. Lita made 20 ribbons. Sally made ¾ as many as ribbons. How many
garlands did sally made?
__________11.In 5 5 7 8 2 8 4 6 4 9 1 3, how many pairs with a...

...Lesson 1-8
2. 16
4. 17
Lesson 1-9
5.A. 5463 divided by 9= 607. Multiply 607 by 9 to check your answer. B. 6.00-3.98= 2.02 C. 5.70x0.03= .1710 I moved the decimal over 4 places. D. 4 1/2 divided by 6= 9/12 or ¾. E. 18 1/5-12 2/3= 5 8/15 I found a common denominator. F. 25.75+40.00= 65.75 G. 546.30 divided by .09 move the decimal over two to the right and you get 6070 as your answer. H. 6 divided by 4 ½ flip the second fraction and you get 1 1/3 as the answer. I. 13 7/8+6 1/3 find a common denom as 24 to get 20 5/24 as the answer. J. 8 2/5x1 5/7= 14 2/5 as the answer.
Lesson 2-1
1.A. 162,87,75 87+75=162, 75+87+162, 162-87+75, 162-75=87 addition and subtraction. B. 2,4,2 2+2=4 2+2=4 4-2=2 4-2+2 Addition and Subtraction C. ¼, 1/6, 2/3 find a common denominator of 24 and solve. 1/4 x2/3=1/6, 2/3x1/4=1/6, 1/6 divided by 1/4=2/3 1/4divided by 1/6=2/3 Multiplication and Division. D. 2.2,6.6,12.12= NONE
5.A. 1000x15= 15000 B. 20.00-12.98= 7.02 C. 345 divided by 100= 3.45 D. 2/3-1/10= 17/30 found a common denominator. E. 36.4+3.6+4.0= 44.0 F. 1/2x3/2= ¾ G. 2850x6.4= 1824 H. 28.5x6.4= 182.4 move the decimal over 2 places. I. 3612 divided by 42= 86 J. 1/10+17/30 find a common denominator of 30 to get 2/3. L. 3/4x2/1= 1 ½
Lesson 2-2
3.A. o=positive x=negative
Xxxxxx, xxxxxxooo, xxx,oooooo,xxxxxxxxx
B. ooo, oooox, oooooxx...

...again is a difference of $6 -- then she would have lost 20%.
Example 4. A cookbook was reduced from $24.50 to $17.95. This was a reduction of what percent?
Solution. Again, this is a difference problem because something has changed -- the price of the book.
To find the difference with a calculator, press
2 4 . 5 - 1 7 . 9 5 =
It is not necessary to enter the 0's on the right of a decimal.
See
6.55
The original price was $24.50. Press
÷ 2 4 . 5 %
(Lesson 14.) See
26.73469
On rounding off to one decimal digit, this is approximately
26.7%.
With a simple calculator, the entire problem can be done at once by pressing
2 4 . 5 - 1 7 . 9 5 ÷ 2 4 . 5 %
"The difference divided by the original."
On some calculators, it is necessary to press = after each calculation; that is, before pressing ÷ .
Example 5. Sarah earns $1800 a month and pays $430 for rent. What percent of her income goes for rent?
Solution. Is this a difference problem or an out of problem? Do we subtract or not?
This is an out of problem because nothing has changed. There has been no increase or decrease in her rent. The problem means that Sarah pays $430 out of $1800 for rent.
With a calculator, press
4 3 0 ÷ 1 8 0 0 %
Displayed is
23.888888
On rounding off to one decimal digit, this is approximately
23.9%.
In an "out of" problem, divide the smaller number by the larger; the part by the whole .
Example 6. Which...

...SCIENTIFIC CALCULATOR
AKNOWLEDGMENT
First and the foremost I would like to thank to my almighty for giving me courage to bring up this term assignment.
At the outset, I would like to propose a word of thanks to my teacher, friends and other sources that gave an unending support and helped me in numerous ways from the first stage of my term assignment conceived.
I would also like to thank my family members for their whole hearted support and cooperation.
I duly acknowledge the contribution of ms.Sukhdilpreet Kaur for invaluable help. Coding scientific calculator is an uphill task and would have not been possible without proper and timely assistance of ms.Sukhdilpreet Kaur.
I would also thanks to all my friends for forwarding their suggestions to make necessary modifications.
Special thanks to Ms.Sukhdilpreet Kaur for her able guidance in my term assignment.
INTRODUCTION
Scientific Calculator
Top of Form
Bottom of Form
The calculator was written by Rolf Howarth in early 1996.
A fully featured scientific calculator with proper operator precedence is implemented, including trig functions and logarithms, factorials, 12 levels of parentheses, logs to base 2 (a handy function for information entropists!), bitwise logical operators, hex, octal, binary and ASCII display.
The...

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