Carry out decimal calculation with instructions

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Decimal calculation is a form of mathematics in which a number is followed by a comma. It is also called the "decimal system" because the number 10 is used as the basis for the calculation. With this guide you can learn how to calculate decimal.

Carry out decimal calculation with instructions.
Carry out decimal calculation with instructions. © Klicker / Pixelio

Requirements for the decimal calculation

  • Rational Counting can be written as a fraction or a decimal number. Note that the comma separates the whole from the decimal places, with the first digit after the comma representing tenths, the second hundredths and the third thousands.
  • You can use the Decimal numbers with Potencies Expand or shorten from 10.
  • You can expand this by appending zeros to the decimal places for each decimal number. 2.19 becomes 2.1900 with 100.
  • The abbreviation in the decimal calculation consists in leaving out zeros, which are the last decimal places. 2.1900 is shortened by 100 2.19.
  • You can convert any fraction to a decimal number in decimal calculations. To do this, divide the numerator by the denominator to the remainder. The rest is converted into tenths by adding a zero and a comma is placed behind the result calculated so far. Divide the remainder by the denominator and write the result after the decimal point. In this way you can calculate the hundredths place and other places after the decimal point.
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  • You can round decimal places within the decimal calculation. An unneeded place after the decimal point is left out, for example in the case of euro and cent bills. Make sure that it is rounded up to the number 4 and that it is rounded up from the number 5.

Use the four basic arithmetic operations to calculate decimal numbers

  • If you want to add or subtract decimal numbers in written form within the decimal calculation, make sure that the decimal points are below each other. Otherwise the procedure is the same as for the natural numbers.
  • In the case of multiplication, the decimal numbers are multiplied like natural numbers within the decimal calculation. After you have calculated the result, the decimal point must be determined. To do this, add up the decimal places of the factors. The addition gives you the number of decimal places of the product.
  • Divide a decimal number by a natural number, then put a comma in the result when it appears in the dividend. This task helps as an example for the decimal calculation: At 20.48: 4, 20: 4 results in the number 5. You write this result after the equal sign. Since the comma now appears in the dividend, write this after the result calculated so far. Now you can divide 4 by 4 and add 1 after the comma. At the end, divide 8: 4 and write the result 2 after the 1. The answer is now 5.12.
  • If you want to divide a decimal number by a decimal number in the decimal calculation, it is necessary that you do the division before Multiply the dividend and the divisor by an equal power of 10 each, so that the divisor becomes an integer will. As an example of this decimal calculation, this task helps: At 12.55: 0.5 multiply by 10 so that 12.55 becomes 125.5 and 0.5 becomes 5. Now you can do the decimal calculation with the rule for division for natural numbers.

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