Compare Decimals: Is 0.45 Equal to 0.445?

Question

$0.45\stackrel{?}{=}0.445$

Are the numbers above the same?

00:00 Are the numbers identical?

00:03 Let's convert from decimal to fraction, both 2 numbers

00:16 This number will have 1000 in the denominator due to the number of digits after the decimal point

00:23 It appears that the numbers are different

00:26 And this is the solution to the question

Just as the number 45 is not equal to 445, nor is the number 0.45 equal to 0.445—even though their values are relatively close.

This can be seen more clearly in the form of a regular fraction:

45/100 is not equal to 445/1000