For example, we read The second way is to read the whole number part followed by "and", then to read the fractional part in the same way as we read whole numbers but followed by the place value of the last digit. Let us understand this with an example. We have to write the number The above decimal number can be written in words as, One hundred twenty-three and four-hundredth fifty-six thousandth, or one hundred twenty-three point four five six.
For example, let us try to find out how the decimal number Rounding a decimal number or rounding decimals is done by taking the digit in the hundredth place into consideration. The digit in this hundredth's place can have two variations. First, if that number is 4 or less, just remove all the digits to the right of the tenth's digit and the remaining portion is our desired result.
But if that number is 5 or greater, we need to increase the tenth place's digit by 1, and then remove all the digits on the right of the tenths digit. For example, let us try rounding As we can see, the hundredth place digit in Hence, when we round off In order to compare the decimals, keep the following two things in mind.
First, compare the digits before the decimal point, if they are less than or greater than the other number, then it is greater than or less than respectively the other number. Second, if the digits before the decimal point are equal to each other then we compare the first digit after the decimal point which is the tenth digit, and examine which is greater or smaller. We repeat this process and keep on comparing digits to the right until we get the unequal digits.
For example, let's compare Now moving on to the tenths digits to compare. Both of them are equal. Now we move to the next term to the right of the tenths digit which is the hundredth digit.
Decimals can be divided into different categories depending upon what type of digits occur after the decimal point. It will depend upon whether the digits are repeating, non-repeating, end, or un-ending infinite digits after the decimal point. Let us have a look at how the decimals are categorized based on their type here. Below given are some interesting facts and notes on the topic of decimals. This will help you in understanding the topic faster.
Example 1: Raven bought apples from a nearby fruit vendor but later found out that 5 of them were rotten. Can you tell the fraction as well as decimals of the rotten apples to the total apples bought by Raven? Here, we have 5 rotten apples out of Now, how do we write it as decimals?
Such problems are solved by dividing the numerator by the denominator. Here, we need to divide 5 by To divide 5 by , we will simply shift it by 2 decimal places on the right.
The number of decimal places we can shift in the numerator depends upon the trailing zeroes the whole number in the denominator has. Therefore, rotten apples to the fresh apples in the fraction is 0. Example 2: A gas station sold How many gallons of gas did the gas station sell when rounded to the nearest tenths of the decimal place?
What are decimals? How do you convert fractions to decimal notation? How do you find the decimal notation of a percent? What is 7. What's a terminating decimal? How do you write two decimals that are equivalent to 5. How do you write two decimals that is equivalent to 3. How do you write two decimals that is equivalent to 0.
See all questions in Decimals and Place Notation. Mar 21 0. Decimal notation refers to the base 10 notations. This is decimal notation. Topology May 8, Why does base 60 have a lower number of terminating decimals than base 10? Number Theory May 19, Does this decimal to fraction conversion method work? Algebra Oct 2, Does this decimal to fraction conversion method work? Elementary Math Oct 2, Similar threads If you remove the decimal from [ 0 - 1 what does that set match?
Why does base 60 have a lower number of terminating decimals than base 10?
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