Examples with solutions for Comparing Decimal Fractions: Identical numbers

Exercise #1

Are they the same numbers?

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

Video Solution

Step-by-Step Solution

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

0.1=0.10 0.1=0.10

And we will discover that the numbers are indeed identical

Answer

Yes

Exercise #2

Are they the same numbers?

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

Video Solution

Step-by-Step Solution

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

0.8=0.80 0.8=0.80

And we will discover that the numbers are not identical

Answer

No

Exercise #3

Are they the same numbers?

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

Video Solution

Step-by-Step Solution

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

0.5=0.50 0.5=0.50

And we will discover that the numbers are not identical

Answer

No

Exercise #4

Are they the same numbers?

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

Video Solution

Step-by-Step Solution

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

0.25=0.250 0.25=0.250

And we will discover that the numbers are identical

Answer

Yes

Exercise #5

Are they the same numbers?

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

Video Solution

Step-by-Step Solution

Let's observe the numbers after the decimal point.

Due to the fact that 23 and 32 are not identical, the numbers cannot be considered as the same number.

Answer

No

Exercise #6

Are they the same numbers?

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

Video Solution

Step-by-Step Solution

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

0.6=0.60 0.6=0.60

And we will discover that the numbers are identical

Answer

Yes

Exercise #7

Are they the same numbers?

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

Video Solution

Step-by-Step Solution

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

0.5=0.50 0.5=0.50

And we will discover that the numbers are identical

Answer

Yes

Exercise #8

Are they the same numbers?

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

Video Solution

Step-by-Step Solution

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

0.2=0.20 0.2=0.20

And we will discover that the numbers are not identical

Answer

No

Exercise #9

Are they the same numbers?

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

Video Solution

Step-by-Step Solution

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

0.02=0.020 0.02=0.020

And we will discover that the numbers are not identical

Answer

No

Exercise #10

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

Are they the same numbers?

Step-by-Step Solution

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

Answer

No