are -0.4 and -0.4... between -0.4 and -0.3... ?
i mean between -0.5 and -0.3... not -0.4
yes, -0.4 is between -0.5 and -0.3
Just draw your number line, and mark the points.
To determine if -0.4 and -0.4... are between -0.4 and -0.3..., we need to compare their values.
First, let's clarify the notation. When you write -0.4..., it means that the number -0.4 repeats indefinitely, typically shown as -0.444... or -0.4444..., and so on.
Now compare the numbers:
- The number -0.4 is not equal to -0.4... because the latter represents an infinite repeating decimal while the former is a finite decimal.
- The number -0.4 is less than -0.4... because -0.4 is the exact value, while -0.4... indicates a value that is continuously getting closer to -0.4 but never actually reaches it.
Now let's compare these numbers to the range between -0.4 and -0.3:
- Since -0.4 is less than -0.3, it is in the range between -0.4 and -0.3.
- However, since -0.4... is less than -0.4 and never reaches it, it is also in the range between -0.4 and -0.3.
So both -0.4 and -0.4... are indeed between -0.4 and -0.3.