SOLUTION: Can you help me with this problem? I need to use long division to find the answer.
0.4558+ 4.3
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Question 726791: Can you help me with this problem? I need to use long division to find the answer.
0.4558+ 4.3
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I do not see any division there.
Did you mean 0.4558 ÷ 4.3 ?
(I get the ÷ to appear by holding the Alt key while typing 0247).
Dividing is like divvying up the loot equally among all the pirates in the crew.
The idea for long division is probably the same everywhere, but the way the symbols and numbers are written on paper is not the same in all countries.
This is how my children were taught to do long division in the USA:
To start, we multiply both numbers (dividend and divisor) times 10.
Dividing 0.4558 by 4.3 is the same as dividing 4.558 by 43. We multiply both numbers times 10 by moving the decimal point one space to the right.
We set to divide 4.558 by 43.
We write the 4.558 to be divided, covered up by a horizontal line.
The result of the division (the quotient) will be written above that line.
To the left of the 4.558, we write the 43 (pirates) to be divided by, and separate them with a vertical line from the 4.558 to be divvied up.
Then we ask the "how many times" questions to see how many units, tenths of a unit, hundredths, and so on each of out 43 "pirates" will receive.
How many times does 43 go into 4? (meaning the 4 at the beginning of 4.588)
The answer is zero, so we write "0." in the units place, above the 4.
Next we consider the 4 units along with the next digit that represents the tenths. We have 45 tenths.
How many times does 43 into 45 tenths?
It goes into 45 tenth 1 time, so we can give 1 tenth to each of the 43 pirates.
We write the 1 in the tenths place, above the first 5, and we figure that giving one to each of the 43 pirates will consume 1 times 43 of those tenths, for a total of 43 tenths, and we will have 45-43=2 tenths left over.
We write all that like this:
Next we consider those 2 leftover tenths along with the next digit, the other 5, that represents the hundredths. With 2 tenths plus 5 hundredths, we have 25 hundredths. We write a 5 to the right of that 2 to remind us of those 25 hundredths, and we ask:
How many times does 43 go into 25?
The answer is zero, so each of the pirates will get zero hundredths, and at the top we write a 0 in the hundredths place:
We are still left with 25 hundredths to divvy up, so we consider them along with the next digit, the 8 that represents 8 thousandths. We write that 8 to the right of the 25, to make 258, because 25 hundredths plus 8 thousandths makes 258 thousandths.
Then we ask
"how many times does 43 go into 258?
Since 4 goes 6 times into 24, 40 goes 6 times into 240, and maybe 43 will go 6 times into 258.
We write (in pencil) a tentative 6 in the thousandths place, above the 8.
(My pencil is green, but I can erase it if needed).
Maybe each pirate will get 6 of those thousandths. That would use up
6 x 43 of those thousandths. As we do that multiplication we write the result (also in pencil) below the 258, so we can then subtract and see what is left over.
6 x 3 = 18, so we write the 8 below the 8 of 258 and carry over the 1.
6 x 4 = 24, and adding the 1 carried over we get 25, that we write below the 25 part of the 258 we had already there.
The result was 258, so we can give each of the 43 pirates 6 of the 258 thousandths and that would take 258 thousandths. Since we have enough, we do that. We can now write those tentative numbers in ink, and subtract the 258 thousandths divvied up from the 258 thousandths we had to get a remainder of zero.
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