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My math teacher said that we have to write a letter to a fifth grader explaining how to divide decimals by decimals can you give me an example How would you write it?? The fifth graders are going to see if they understand how to divide by decimals. First person to write a letter will get 10 points!! Please help me!!

2006-11-04 03:53:24 · 7 answers · asked by Anonymous in Science & Mathematics Mathematics

7 answers

Dear Fifth Graders,

I know you might find working with decimals kind of hard, and that dividing one decimal number by a second decimal number must be even harder. But, actually, it is quite easy if yo first convert the decimals to whole numbers.

Rule 1: To convert a decimal to a whole number, move the decimal point to the riight until you have a whole number.

For example:
2.75 = 275 by moving the decimal point 2 places to the right.
0.006 = 6 by moving the decimal point 3 places to the right.

Rule 2: When you divide one decimal number into another decimal number, you MUST move the decimal point the same number of places for both numbers.

For example, if you are dividing 2.75 by 0.006, you must move the decimal point 3 places in both numbers so the new problem becomes 2750 divided by 6. So you have changed the division of decimal numbers to division of whole numbers. This is a lot easier, don't you think?

Here's another example:
Divide .05 by .0001
Here we have to move the decimal point 4 places to th right.
This gives 500 divided by 1 which is just 500. Easy, eh?

Remember that if you have to move the decimal point mor places than there appears to be room for, simply add zerooes to get the necessary number of places. In the example above,
.05 and .050, and .0500, and .0500000000 are all the same number. So to move the decimal point 4 places to the right
for the number .05, we simply add 2 zeroes making it .0500 and now we can move the decimal point 4 places changing .05 to 500.

Hope this helps you to understand decimals better

Good Luck

2006-11-04 04:41:09 · answer #1 · answered by ironduke8159 7 · 0 0

Okay, dividing a decimal by a decimal...

The main thing to remember is that when you are dividing, you cannot have a decimal in the denominator (i.e. the bottom number in the fraction. So start moving the decimal point to the right until you have a whole number.

For example if you are dividing 0.0255/0.005, you must move the decimal point three digits to the right. You MUST move the decimal point the same number of digits to the right for the numerator too (the top value). This shifting of the decimal point position is just multiplying the number by 1000/1000 which is just 1 (which doesn't change your answer).

So now you have 25.5/5 to work with.

Now set this up long division style...remember that you need to move your decimal point directly above when you have an answer in long division...and you get 5.1 as an answer. Hope this helps.

2006-11-04 12:05:53 · answer #2 · answered by pummeloman 2 · 0 0

Superrobot! They are fith graders! How should they understand that? Here is mine, I am an 8th grader, so dont be afraid to actually use it:

Dear fith grader,

I am glad to help you. What you should do is just put the multiplication down on paper as if you are multiplying regular numbers. You will not need the decimals until the end. Multiply and when you get the answer do this:
.28
x .5
-----
140.
In this case move the dicimal over 1. So the answer is 14.0

2006-11-04 12:17:19 · answer #3 · answered by Kira S 1 · 0 0

Well, I can't exactly write a letter, but here goes the process:

First, remove the decimals from both the dividend and divisor, but keep note of their positions. Then, just divide by the integers that you get how you would normally divide them. Now, subtract the number of decimal places of the dividend by the number of decimal places of the divisor, and add that many decimal places into the number that you get. If the number is negative, then remove that many decimal places from the final product,

Here is an example:

If you are dividing 5.29 by 2.3:

Remove the decimals and divide:
529 / 23 = 23

Now, subtract the decimal places: 2 places in 5.29 minus 1 place in 2.3 makes 1 place to add to 23, making 2.3.

Here is another example:

If you are dividing 78.4 by 0.28:

Remove the decimal points and divide:
784 / 028 = 28

Now subtract the decimal places: 1 place in 78.4 minus 2 places in 0.28 makes -1 place to add to 28. In this case, where there is no decimal point you must insert 1 zero at the end to make 280, your final answer.

I hope that helps... just make a letter similar to that.

(George T, she genuinely needs help, even if it's her homework.)

EDIT: In the case of a repeating or irrational decimal, use only as many places as you need to. For example:

To divide 1.3333333333... by 2.5:

You cannot remove the decimal from 1.3333333333... so just use 1333333333, and divide by 25. You must remember, however, that you only removed 9 decimal places from 1.3333333333... . For this, you get 53333333.32, so now do the subtraction of decimal places (9 from 1.333333333 and 1 from 25 makes 8 to add to 53333333.32) and you will end up with what a calculator would return, or 0.5333333332. Close enough to the actual number, 0.5333333333... .

2006-11-04 12:01:15 · answer #4 · answered by Anonymous · 0 0

Just write a letter and include this
1.50/0.75=150/100/75*100
=150/100*100/75
=150/75
=2

2006-11-04 12:01:51 · answer #5 · answered by kalyan r 3 · 0 0

0.1 = 1/10
0.1/0.2 = (1/10)/(2/10) = (1/10)*(10/2) = 5/10 = 1/2

2006-11-04 12:01:23 · answer #6 · answered by imajiknation 2 · 0 0

we are not gonna do your homework. stop being lazy

2006-11-04 11:56:31 · answer #7 · answered by Neo 1 · 0 1

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