Question

What are three numbers between 0.33 and 0.34?

Answer 1

Hint: Since the number line has infinite real numbers, we can find endless reals in between any two real numbers given. We just need to use the fact that in decimal form, if there are no digits then we can put a 0 there.

Complete step-by-step answer:
1.9 is the same as 1.90, using this trick we can magnify the number line and find three numbers between the numbers given here.
We have 0.33 and 0.34. We see that 0.33=0.330 and 0.34 is the same as 0.340. Now there does not exist any integer between 33 and 34 but there does exist integers between 330 and 340, we pick any three integers say 332, 335 and 337 and we create three new decimals, 0.332, 0.335 and 0.337. It is readily visible that these three numbers lie between 0.33 and 0.34.
You can also add another extra 0 and increase the number of choices that you can have for the decimals.

Note: For example, if we write 0.33=0.3300 and 0.34=0.3400, then we have a wide range of choices. Here you can choose any number between 3300 and 3400, so randomly picking any three out of these many choices we can make three numbers 0.3311, 0.3345 and 0.372, all these three numbers lie between 0.33 and 0.34.