Final answer:
The number 0.45 is equivalent to the fraction 9/20, the percentage 45%, and can also be represented as 45.0 when multiplied by a power of ten, such as 100.
Step-by-step explanation:
To find the value that has the same value as 0.45, we must consider different forms of representing this number. One common way to represent 0.45 is by converting it into a fraction. The decimal 0.45 can be expressed as the fraction 45/100. Simplified, this fraction becomes 9/20. Another way is to express the decimal as a percentage, which would be 45%. Lastly, if we multiply 0.45 by a power of ten, such as 100, we change its form but not its value. Therefore, 45.0 also represents the same value when we consider the multiplication rule as shown in an example which illustrates that to multiply 45.86 by 100, one would move the decimal point two places to the right.