why is 9.06 a rational number?

Question

thesmartone · Answer

Because it can be written in the form of p/q where p and q are both integers

9.06 is the same thing as 9.06/1

multiply numerator and denominator by 100, what do you get?

tashywuzhere · Answer

@TheSmartOne

thesmartone · Answer

I answered right before you tagged me xD

tashywuzhere · Answer

Lol i didnt see that till after XD

thesmartone · Answer

so 9.06/1

multiply it by 100/100

We're multiplying it by 100 so we can get the numerator to be an integer. The denominator already is, but we need the numerator because then we know that 9.06 can be expressed as p/q where both p and q are integers

tashywuzhere · Answer

What would i get cuz i cant think of it? If i multiply both the top and the bottom what numbers would those be to multiply and what would i do after?

misssmartiez · Answer

9.06 ends at 6 right?

misssmartiez · Answer

Sorry, glitches, but yes, does it end at 6?

tashywuzhere · Answer

corrct it does

misssmartiez · Answer

So, its a terminating decimal ;)

misssmartiez · Answer

Terminating decimals and repeating decimals are RATIONAL, because its easy to predict what number will come next:

0.66666666666666 What will come next? 6 MOST likely.

0.7 ends at 7, so it is easy to rationalize. 


Other rational numbers? Whole numbers, (8, 5, 6,) and integers, (-5, 3, -4.)


IF ITS IRRATIONAL, its random and cannot be predicted:

0.56056563542666788632463535....

misssmartiez · Answer

TheSmartone gave you an expanded form to calculate it, so.