The topic of reducing and expanding decimal numbers is extremely easy.
All you need to remember is the following phrase:
Master reducing and expanding decimal numbers with step-by-step practice problems. Learn when decimals are equal and how trailing zeros work in mathematics.
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.
Reduce the following fraction:
\( 0.5005 \)
Reduce the following fraction:
To reduce the decimal fraction , trailing zeros are removed. Therefore, simplifies to . Hence, the reduced fraction is .
Answer:
Reduce the following fraction:
To reduce the fraction , we look to express it in its simplest form. By removing trailing zeros, we arrive at , which is the same value and represents the simplest form of the number. The trailing zeros in a decimal do not affect its value.
Answer:
Reduce the following fraction:
To reduce the decimal fraction , we eliminate the trailing zeros. Thus, becomes . As a result, the reduced fraction is .
Answer:
Reduce the following fraction:
To reduce the fraction , we note that it is already in its simplest form as a decimal fraction and cannot be reduced further. Therefore, the reduced form is itself.
Answer:
Reduce the following fraction:
To reduce , notice that it represents .
The greatest common divisor of 75 and 100 is 25, so divide both the numerator and the denominator by 25.
This reduces the fraction to , which is when expressed as a decimal.
Answer: