Long Division and how 1/2=0.5

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In summary, the conversation discusses the concept of long division and how it can be used to determine the answer to a division problem. It explains that the decimal system works in long division by using the rule of decimal point placement, which is a hidden powers of ten notation. It also mentions that if 1/2=x, then multiplying both sides by 10 gives 10/2=10x, and to get x, you divide by 10. This means that you can add a zero to the number being divided if you remove a zero from the answer.
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I understood the logic behind long division which many teachers don't make any student understand! For example if I have 1506/2 then 1506 can be written as 1000+500+00+6 and then we can determine how many 'twos' are there in 1000,500,00 and 6. That gives us an answer of 500+250+0+3=753.

1) Now, what I don't understand is how do we get 0.5 using the long division method when we divide 1 by 2?

2) How does the decimal system work in long division??
 
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  • #2
One uses the rule of decimal point placement, in actuality it's a hidden powers of ten notation. By allowing a decimal point for every number, whether we write it or not(mainly whole numbers much like the plus sign for positive numbers), then applying the rules, we get a decimal expansion.
 
  • #3
if 1/2=x then multiplying both sides by 10, 10/2=10x, which you calculate out to get 10x. To get x, you divide by 10. So you can add a zero to the number being divided if you remove a zero, (ie shift the comma), from the answer.
 

What is long division?

Long division is a method of dividing large numbers into smaller numbers. It involves dividing the dividend (the number being divided) by the divisor (the number that divides the dividend) and finding the quotient (the answer) and remainder (the leftover amount).

How does long division work?

Long division involves a series of steps and calculations. The basic steps are: 1) Divide the first digit of the dividend by the divisor, 2) Multiply the divisor by the quotient and subtract it from the first part of the dividend, 3) Bring down the next digit of the dividend and repeat the process until all digits have been brought down, and 4) If there is a remainder, it is written as a fraction and added to the quotient.

What is the significance of 1/2=0.5 in long division?

In long division, the number 1/2 is equal to 0.5, which means it can be written as a decimal. This is important because it allows us to divide numbers that cannot be evenly divided, such as 1 divided by 2. By converting the fraction to a decimal, we can continue the long division process and obtain an accurate answer.

Why is long division important in scientific research?

Long division is important in scientific research because it allows for precise and accurate calculations. Scientists often work with large numbers and complex equations, and long division is a useful method for solving these equations and obtaining accurate results. It is also helpful in converting fractions to decimals, which is necessary for many scientific calculations.

Are there any tips for making long division easier?

Yes, there are a few tips that can make long division easier. These include: 1) Writing out the steps and using a ruler or grid to help keep the numbers in the correct place, 2) Starting with simpler problems and gradually working up to more complex ones, and 3) Practicing regularly to improve speed and accuracy.

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