Comparing decimal numbers is done using the system: Digit-by-digit analysis
Comparing decimal numbers is done using the system: Digit-by-digit analysis
Analyze the whole numbers: the decimal number with the larger whole number will be the greater of the two.
Analyze the digits that come after the decimal point (only in the case where the whole numbers are equal)
We will move from digit to digit (starting with the tenths, then the hundredths, and so on)
If they continue to be equal, we will proceed with the comparison of the following digits.
If they are different, we will be able to determine which number is larger.
Are they the same numbers?
\( 0.1\stackrel{?}{=}0.10 \)
Are they the same numbers?
\( 0.8\stackrel{?}{=}0.88 \)
Are they the same numbers?
\( 0.05\stackrel{?}{=}0.5 \)
Are they the same numbers?
\( 0.25\stackrel{?}{=}0.250 \)
Are they the same numbers?
\( 0.23\stackrel{?}{=}0.32 \)
Are they the same numbers?
We will add 0 to the number 0.1 in the following way:
And we will discover that the numbers are indeed identical
Yes
Are they the same numbers?
We will add 0 to the number 0.8 in the following way:
And we will discover that the numbers are not identical
No
Are they the same numbers?
We will add 0 to the number 0.5 in the following way:
And we will discover that the numbers are not identical
No
Are they the same numbers?
We will add 0 to the number 0.25 in the following way:
And we will discover that the numbers are identical
Yes
Are they the same numbers?
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?
\( 0.6\stackrel{?}{=}0.60 \)
Are they the same numbers?
\( 0.5\stackrel{?}{=}0.50 \)
Are they the same numbers?
\( 0.22\stackrel{?}{=}0.2 \)
Are they the same numbers?
\( 0.02\stackrel{?}{=}0.002 \)
Choose the appropriate sign:
\( \frac{12}{10}?1.2 \)
Are they the same numbers?
We will add 0 to the number 0.6 in the following way:
And we will discover that the numbers are identical
Yes
Are they the same numbers?
We will add 0 to the number 0.5 in the following way:
And we will discover that the numbers are identical
Yes
Are they the same numbers?
We will add 0 to the number 0.2 in the following way:
And we will discover that the numbers are not identical
No
Are they the same numbers?
We will add 0 to the number 0.02 in the following way:
And we will discover that the numbers are not identical
No
Choose the appropriate sign:
First, we will convert the simple fraction to a decimal fraction.
We will write the numerator of the fraction in decimal form and divide by 10 as follows:
Now we can compare the two fractions and see that:
Determine the appropriate sign according to the number line:
\( 1.3?1.02 \)
Determine the appropriate sign according to the number line:
\( 0.48?0.84 \)
Determine the appropriate sign according to the number line:
\( 0.655?0.55 \)
Determine the appropriate sign according to the number line:
\( 0.5?0.07 \)
Determine the appropriate sign according to the number line:
\( 0.12?0.10 \)
Determine the appropriate sign according to the number line:
Let's look at the number 1.3
We'll add 0 to it in order to equate with 1.02
That is:
Since both numbers start with 1, we'll focus on the numbers after the decimal point and discover that:
1.30>1.02
>
Determine the appropriate sign according to the number line:
Let's compare the numbers after the decimal point since 48 is less than 84, we find that:
0.48<0.84
<
Determine the appropriate sign according to the number line:
Let's look at the number 0.55
We'll add 0 one to it in order to equate with 0.655
In other words:
Now let's consider the numbers after the decimal point and we'll discover that:
0.655>0.550
>
Determine the appropriate sign according to the number line:
Let's look at the number 0.5
We'll add 0 one to it in order to equate with 0.07
That is:
Now let's consider the numbers after the decimal point and we'll discover that:
0.50>0.07
>
Determine the appropriate sign according to the number line:
Let's compare the two numbers after the decimal point, which are 12 versus 10
Therefore:
0.12>0.10
>