Archive for December, 2009

Why should students have to memorize multiplication facts?

Wednesday, December 30th, 2009

I need 3 reasons why students should have to memorize multiplication facts. Can you help me out? All I need are 3 reasons and I’ll back it up and find evidence myself.

Three reasons why kids should memorize multiplication facts:
1. As they progress to more advanced math, they will need the basic knowledge of multiplication, which is simply repeated addition.
2. It will make computing numbers easier, because instead of adding over and over you could just multiply.
3. Memorizing multiplication earlier is better than being in a calculus class in high school and trying to memorize them then.

In Excel 2003, how do you copy a cell from one worksheet to another?

Sunday, December 27th, 2009

I am creating a productivity sheet that calculates an average number of units per time. I want to copy that result to another worksheet. Help?

To copy a cell between worksheets of workbooks:

If the content of the cell does not have a formula, then copy and paste as usual.

If the content of the cell you want to copy has a formula then to copy the cell between worksheets/workbooks you need to create a link between the cells (use a formula to indicate: this cell is equal to that cell):
• Select the cell that you want to contain the link, type the equal sign (=)
• Select the source worksheet, then select the source cell
• Press enter

If you want to have on the destination cell the value and not a link between the cells, then after you finish doing the steps above:
• Select the destination cell and right click and select copy
• Select the destination cell and right click and select PASTE SPECIAL
• From the options select VALUES and click OK
In this way you copy the cell value and eliminate the link between the cells

Hope this help

How do I make multiple groups of worksheets in an Excel workbook?

Sunday, December 27th, 2009

I have a load of workbooks, each with a few worksheets in them. I want to put them all together in to one workbook, but keep them in seperate groups (that correspond to their original workbooks). Ideally, I would like it so that there is more than one row of tabs along the bottom. Does anyone know how I might be able to do this?

What you’re looking to do, it can’t be done.

How do you convert decimals to fractions in simplest form?

Tuesday, December 22nd, 2009

Can someone please explain to me how to convert decimals into fractions in simplest form…so then I can help my daughter with her homework? Thank you.

I think its over 100 ex: .50=50/100, .26=26/100

1.25= 125/100
Just take the number and put it over 100.

Do you have an equation?

What will be the equivalent fraction, decimals and percentage?

Tuesday, December 22nd, 2009

What is the equivalent decimal and percentage for 11 over 20 (11/20)
Also what is the equivalent fraction and percentage for 0.875
What is the equivalentt fraction and decimal for 96%

Thanks you so much !

1. 11/20 = 0.55 or 55%

2. 0.875 = 7/8 or 87.5%

3. 96% = 0.96 or 24/25

How to solve a system with fractions by the elimination method?

Tuesday, December 22nd, 2009

I am in 7th grade gifted math learning algebra and am learning how to solve systems by elimination and substitution. I prefer to use elimination so if you could, try to put it in that way. Well, now we have to learn how to solve them with fractions. Like ….

x+16 1/2 = -3/4y
y = 1/2x

How do I solve problems like this?

You need to modify one of the equations so that either the X value or the Y value will cancel out when added to the corresponding X or Y value of the other equation.

Eliminating the Y’s will become a complete mess because of that -3/4 value so lets eliminate the X value instead.

Step 1: swap the 2nd equation so X is on the other side like so
1/2x=y

Step 2: multiply 2nd equation by -2 like so
-2/2x=-2y

-2/2x simplifies to -x

Step 3: Add equation 1 and 2 with one another like so
x+16.5=-3/4y
-x=-2y
0+16.5=-3/4y -2y

Combine -3/4y and -2y together to get -11/4y (-2y is equivalent to -8/4y so -3/4 -8/4 = -11/4)

Step 4: Start Solving for Y in the new equation you just created (we will call this equation #3)
16.5=-11/4y

Lets change 16.5 into the fraction 33/2 (16 1/2 is a sloppy way to write this number in fraction form)

Step 5: Divide both sides by -11/4 so that Y will be by itself. If you are uncomfortable with dividing by fractions then you can first multiply both sides by 4 and then divide both sides by 11. Or you can simply just swap the fraction around and multiply it with what you have on the lefthand side. The SAME answer results from doing this.

I’ll show both steps:
First is just simply swapping 11/4 to 4/11 and multiplying it with 33/2 to get the fraction 132/22. This is not simplified all the way but we will do that later.
Second method is to multiply both sides by 4 which eliminates the "4" on the righthand side and gives us 132/2 on the lefthand side. Now we divide both sides by 11 to get rid of the 11 on the righthand side and gives us 1/11 times 132/2 on the lefthand side. When we multiply those together we get 132/22 which is the same number we got from doing the first method (first method is much quicker, so get comfortable doing it if you can).

132/22 simplifies to 6/1 which is just "6"

Step 6: Write out our Y value answer
Y = 6

Step 7: Substitute "Y=6" into either the first or second equation (but NOT the third equation) to get the x value.

I’ll let you do that part, good luck

(Linear Algebra) How to determine the expression of this linear mapping ?

Tuesday, December 22nd, 2009

Could someone please show me the solution to this problem in Linear algebra? Thanks a lot!

Determine the expression of the linear mapping in the plane, which reflects all points with respect to the straight line y=2x.

If you can find a basis for R2 and figure out what this does to the basis, you are done.

There are two approaches:

      • Use the standard basis — calculations are harder, but the matrix is easy to find
      • Use a "nice" basis — calculations are easy, but the matrix is harder to find.

I will do the first method. Where does (1,0) go when reflected by that line? It goes to (-3/5,4/5).

And where does (0,1) go? It goes to (4/5,3/5).

So the matrix is simply:

[ -3/5 4/5 ]
[ 4/5 3/5 ]

which are those two things, put into the columns.

What are some fraction math project Christmas ornament ideas?

Saturday, December 19th, 2009

What are some fraction math project Christmas ornament ideas?
I am teaching my little brother, who has severe learning disabilities, how to add, subtract, multiply, and divide fractions. Our Christmas tree this year is also looking a little bare. So what is a way that I can make some ornaments and make it into a math project? Or am I just expecting too much? Lol.

If you don’t care about the ornaments looking *perfect*, here’s an idea you can try:

Make some "people" ornaments. For example, you could make a reindeer, a Santa, an elf, a penguin, a snowman and a family consisting of Mom, Dad, brother, sister, baby, dog and cat*. Then, make some cookie ornaments…just a big round circle with chocolate chips. Take one "cookie" and tell your brother, "This cookie is for EVERYone. How will they all get the same amount?" He’ll have to count the "people" and then decide that you need to cut the cookie into 12 equal pieces. Or, start off with twelve cookies and ask him how many everyone gets. Or, 24 cookies and ask how many everyone gets. Once he gets that, take two cookies, and ask him how to divide the cookie so everyone gets the same amount. Set aside the animals (reindeer, penguin, dog and cat) and divide a cookie in fourths. Have him put the cookies back together after they’ve been cut ("three thirds equals one cookie", etc) and tape them back into a whole cookie when you’re ready to hang it on a tree.

*I used these example because 12 is an easy number to divide, as opposed to, like, 9. I also listed different "people", instead of 12 penguins, so it would be easier for a young child to understand and visualize. He can picture in his mind a brother and a sister splitting a cookie for a snack easier than imagining two divided by one.

How do you solve fractions equations by adding and subtracting?

Saturday, December 19th, 2009

i have so much hard times in pre-algebra and i don’t know how to solve fractions equations addition and subtraction.the problem is k+3 3/4=5 2/3-1 1/3.the problem is i don’t know how to solve it!

I understand the problem is

k + 3 and 3/4 = 5 and 2/3 - 1 and 1/3

Change the mixed fractions into

k + 15/4 = 17/3 - 4/3

k + 15/4 = 13/3

k = 13/3 - 15/4

k = 7/12

Have a good day!

How is algebra used in the healthcare field?

Saturday, December 19th, 2009

How is algebra used in the healthcare field?
Do you think that if the algebraic expression had never been created for you to learn that you would be able to do your job in health care with accuracy?

As a nurse I use algebra in figuring out medication doses, IV rates. I wouldn’t want to try to do my job without algebra.