Answer
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Hint: For this problem we need to write the name of the number into decimals. By following a few steps we will solve this problem. These are:
We should write the number from the left to the decimal point.
We will write “and” for the decimal point.
We should name the “number” part to the right of the decimal point as if it were a whole number.
We should name the decimal place of the last digit.
Complete step-by-step answer:
Given: - As the given number is $23 + \dfrac{2}{{10}} + \dfrac{6}{{1000}}$.
Here the terms in the fractional form are $\dfrac{2}{{10}}$ and $\dfrac{6}{{1000}}$.
To get the decimal form of fractions we divide the numerator by the denominator.
So, to get the decimal form of $\dfrac{2}{{10}}$, we divide 2 by 10 to get 0.2.
$ \Rightarrow \dfrac{2}{{10}} = 0.2$
So, to get the decimal form of $\dfrac{6}{{1000}}$, we divide 6 by 1000 to get 0.006.
$ \Rightarrow \dfrac{6}{{1000}} = 0.006$
Substitute the value in an expression,
$ \Rightarrow 23 + \dfrac{2}{{10}} + \dfrac{6}{{1000}} = 23 + 0.2 + 0.006$
Now add the terms on the right side,
$\therefore 23 + \dfrac{2}{{10}} + \dfrac{6}{{1000}} = 23.206$
Hence, the short form of $23 + \dfrac{2}{{10}} + \dfrac{6}{{1000}}$ is 23.206.
Note: Our decimal system of numbers lets us write numbers as large or as small as we want, using a symbol called the decimal point. In our number system, digits can be placed to the left and right of a decimal point, to indicate numbers greater than one or less than one. The decimal point helps us to keep track of where the "ones" place is. It's placed just to the right of the one's place. As we move right from the decimal point, each number place is divided by 10.
We should write the number from the left to the decimal point.
We will write “and” for the decimal point.
We should name the “number” part to the right of the decimal point as if it were a whole number.
We should name the decimal place of the last digit.
Complete step-by-step answer:
Given: - As the given number is $23 + \dfrac{2}{{10}} + \dfrac{6}{{1000}}$.
Here the terms in the fractional form are $\dfrac{2}{{10}}$ and $\dfrac{6}{{1000}}$.
To get the decimal form of fractions we divide the numerator by the denominator.
So, to get the decimal form of $\dfrac{2}{{10}}$, we divide 2 by 10 to get 0.2.
$ \Rightarrow \dfrac{2}{{10}} = 0.2$
So, to get the decimal form of $\dfrac{6}{{1000}}$, we divide 6 by 1000 to get 0.006.
$ \Rightarrow \dfrac{6}{{1000}} = 0.006$
Substitute the value in an expression,
$ \Rightarrow 23 + \dfrac{2}{{10}} + \dfrac{6}{{1000}} = 23 + 0.2 + 0.006$
Now add the terms on the right side,
$\therefore 23 + \dfrac{2}{{10}} + \dfrac{6}{{1000}} = 23.206$
Hence, the short form of $23 + \dfrac{2}{{10}} + \dfrac{6}{{1000}}$ is 23.206.
Note: Our decimal system of numbers lets us write numbers as large or as small as we want, using a symbol called the decimal point. In our number system, digits can be placed to the left and right of a decimal point, to indicate numbers greater than one or less than one. The decimal point helps us to keep track of where the "ones" place is. It's placed just to the right of the one's place. As we move right from the decimal point, each number place is divided by 10.
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