The topic of reducing and expanding decimal numbers is extremely easy.
All you need to remember is the following phrase:
The topic of reducing and expanding decimal numbers is extremely easy.
All you need to remember is the following phrase:
What does this tell us?
Let's look at some examples:
We can compare and precisely because of the phrase we saw earlier.
In fact, tenths is equivalent to hundredths.
Similarly, we can compare and the decimal number and also the decimal number
What does this have to do with the simplification and amplification of decimal numbers?
When we compare these decimal numbers and do not calculate the meaning of , we are simplifying and expanding without realizing it.
Write the following decimal fraction as a simple fraction and simplify:
\( 0.36= \)
For example, if we closely observe the decimal number we will understand that:
The digit represents the units (in the whole part)
The digit represents the tenths
And the digit represents the hundredths.
Since there is no other digit representing the thousandths, we will understand that, in reality, there are no hundredths
The digit represents them.
Now, let's observe this decimal number and analyze it:
The digit represents the units (in the whole part)
The digit represents the tenths
And that's it.
We can clearly say that there are no hundredths or that the digit represents them, therefore
We can easily compare between and
What we have done is, really, reduce the decimal number to .
Write the following decimal fraction as a simple fraction and simplify:
Since there are two digits after the decimal point, we divide 36 by 100:
Now let's find the highest number that divides both the numerator and denominator.
In this case, the number is 4, so:
Write the following decimal fraction as a simple fraction and simplify:
Since there is one digit after the decimal point, we divide 5 by 10:
Now let's find the highest number that divides both the numerator and the denominator.
In this case, the number is 5, so:
Write the following decimal fraction as a simple fraction and simplify:
Since there are three digits after the decimal point, we divide 350 by 1000:
Now let's find the highest number that divides both the numerator and denominator.
In this case, the number is 50, so:
Write the following decimal fraction as a simple fraction and simplify:
Since there are three digits after the decimal point, we divide 630 by 1000:
Now let's find the highest number that divides both the numerator and denominator.
In this case, the number is 10, so:
Write the following decimal fraction as an imaginary fraction and simplify:
Let's write the decimal fraction as a mixed fraction.
Since there is one digit after the decimal point, we'll divide 9 by 10 and add 6, as follows:
Since it can't be simplified further, the answer is:
Write the following decimal fraction as a simple fraction and simplify:
\( 0.5= \)
Write the following decimal fraction as a simple fraction and simplify:
\( 0.350 \)
Write the following decimal fraction as a simple fraction and simplify:
\( 0.630 \)