Comparing Decimal Fractions: Identical numbers

Are they the same numbers?

$0.8\stackrel{?}{=}0.88$

We will add 0 to the number 0.8 in the following way:

$0.8=0.80$

And we will discover that the numbers are not identical

No

Are they the same numbers?

$0.05\stackrel{?}{=}0.5$

We will add 0 to the number 0.5 in the following way:

$0.5=0.50$

And we will discover that the numbers are not identical

No

Are they the same numbers?

$0.23\stackrel{?}{=}0.32$

Let's look at the numbers after the decimal point.

Since 23 and 32 are not the same number, the numbers are not identical.

No

Are they the same numbers?

$0.22\stackrel{?}{=}0.2$

We will add 0 to the number 0.2 in the following way:

$0.2=0.20$

And we will discover that the numbers are not identical

No

Are they the same numbers?

$0.1\stackrel{?}{=}0.10$

We will add 0 to the number 0.1 in the following way:

$0.1=0.10$

And we will discover that the numbers are indeed identical

Yes

Are they the same numbers?

$0.25\stackrel{?}{=}0.250$

We will add 0 to the number 0.25 in the following way:

$0.25=0.250$

And we will discover that the numbers are identical

Yes

Are they the same numbers?

$0.6\stackrel{?}{=}0.60$

We will add 0 to the number 0.6 in the following way:

$0.6=0.60$

And we will discover that the numbers are identical

Yes

Are they the same numbers?

$0.5\stackrel{?}{=}0.50$

We will add 0 to the number 0.5 in the following way:

$0.5=0.50$

And we will discover that the numbers are identical

Yes

Are they the same numbers?

$0.02\stackrel{?}{=}0.002$

We will add 0 to the number 0.02 in the following way:

$0.02=0.020$

And we will discover that the numbers are not identical

No

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

Are they the same numbers?

Just as the number 45 is not equal to 445, similarly 0.45 is not equal to 0.445,

even though their values are relatively very close.

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

45/100 is not equal to 445/1000

No