Reduction and Expansion of Decimal Fractions: Identify the greater value

To compare which is greater, we will compare the numbers by adding 0 to 0.8 as follows:

$0.80\text{?}0.08$

Let's note that before the decimal point, we have 0 in both numbers.

After the decimal point, we have 8 compared to 0.

Since 8 is greater than 0, the appropriate sign is as follows:

0.80 > 0.08

In order to compare which is larger, we'll compare the numbers by adding 0 to 0.08 in the following way:

$0.008\text{?}0.080$

Note that before the decimal point we have 0 in both numbers

After the decimal point in both numbers we have 0

The different numbers are the following ones, 0 versus 8

Since 8 is greater than 0, the appropriate sign is:

0.008 < 0.080

In order to compare which is greater, we will compare the numbers by adding 0 to 0.3 in the following way:

$0.30\text{?}0.30$

Note that before the decimal point we have 0 in both numbers

After the decimal point in both numbers we have the number 3 and then the number 0

Therefore, the appropriate sign is:

$0.30=0.30$

In order to compare which is larger, we'll compare the numbers by adding 0 to 1.5 as follows:

$1.50?1.50$

Note that before the decimal point we have 1 in both numbers

After the decimal point in both numbers we have 5 and then 0

Therefore the numbers are equal to each other and the appropriate sign is:

$1.50=1.50$

In order to compare which is larger, we will compare the numbers by adding 0 to 1.33 as follows:

$1.330\text{?}1.333$

Note that before the decimal point we have 1 in both numbers

After the decimal point in both numbers we have the number 3 and then the number 3

The different numbers are the last numbers 0 versus 3

Since 3 is greater than 0 the appropriate sign is:

1.330 < 1.333

Let's compare the numbers in the following way:

We notice that before the decimal point, both numbers start with 202

After the decimal point, we notice that the number is 1 versus 0

Since 1 is greater than 0, the appropriate sign is:

202.1 > 202.01

Let's compare the numbers in the following way:

We notice that before the decimal point, we have the numbers 2 and 20

Since 20 is greater than 2, the appropriate sign is:

2.021 < 20.21

To compare the numbers $1.500$ and $1.50$, observe the following:

1. $1.500$ and $1.50$ are equivalent because trailing zeros do not change the value of a decimal.

2. Therefore, $1.500 = 1.50$.

The correct sign to fill the gap is $=$.

Let's compare the two decimal numbers $0.45$ and $0.450$.

1. Convert $0.45$ to the same decimal places as $0.450$:

$0.45 = 0.450$

2. Now compare the expanded forms. Since both are numerically equal, we have:

$0.450 = 0.450$

Therefore, the missing sign is $=$.

To determine the relationship between $2.300$ and $2.30$, follow these steps:

1. Note that $2.300$ can be simplified to $2.30$ because trailing zeros in a decimal do not affect its value.

2. Therefore, $2.300 = 2.30$.

The missing sign is $=$.

To decide whether $0.33$ is less than, greater than, or equal to $0.303$, align both by the decimal point:

$0.33$ can be considered as $0.330$. Compare the numbers starting from the left:
The digit "3" after the decimal in $0.33$ is greater than "3" in $0.303$ due to the next digit in the sequence, making $0.33$ greater than $0.303$. Thus, the sign is $>$.

In order to compare which is greater, we will compare the numbers by adding 0 to 0.30 in the following way:

$0.305\text{?}0.300$

Note that before the decimal point we have 0 in both numbers

After the decimal point in both numbers we have the number 3 and then the number 0

The different numbers are the last numbers 5 and 0

Since 5 is greater than 0 the appropriate sign is:

0.305 > 0.300

To compare which is greater, we'll compare the numbers by adding 0 to 0.35 as follows:

$0.350\text{?}0.135$

We should notice that before the decimal point, we have 0 in both numbers.

After the decimal point, we have 3 compared to 1.

Since 3 is greater than 1, the appropriate sign is:

0.350 > 0.135

In order to compare which is larger, we will compare the numbers by adding 0 to 2.16 in the following way:

$2.160?2.150$

Note that before the decimal point we have 2 in both numbers

After the decimal point in both numbers we have 1

The different numbers are the ones that follow, 6 versus 5

Since 6 is greater than 5, the appropriate sign is:

2.160 > 2.150

Let's compare the numbers in the following way:

We notice that before the decimal point, both numbers start with 1

Then we have the number 9 versus the number 7

Since 9 is greater than 7, the appropriate sign is:

19.88 > 17.10

Let's compare the numbers in the following way:

We notice that before the decimal point, both numbers start with 1 and then 0

After that, the numbers are different, 1 versus 2

Since 2 is greater than 1, the appropriate sign is:

101.0 < 102.1

Let's compare the numbers in the following way:

We notice that before the decimal point, we have the number 66 versus the number 6

Since 66 is greater than 6, the appropriate sign is:

66.101 > 6.6101

First let's compare the numbers.

We can see that, before the decimal point, both numbers start with 24.

After the decimal point, we also have the digit 3 in both numbers.

Then the digits are 0 in one number and 1 in the other.

Since 1 is greater than 0, the appropriate sign is the 'less-than' sign:

24.305 < 24.315