Comparing Decimal Fractions - Examples, Exercises and Solutions

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?

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

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?

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

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?

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

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?

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

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?

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

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?

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

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

Choose the appropriate sign:

$\frac{12}{10}?1.2$

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:

$12=12.0$

$\frac{12.0}{10}=1.2$

Now we can compare the two fractions and see that:

$\frac{12}{10}=1.2$

$=$$$$$

Determine the appropriate sign according to the number line:

$1.3?1.02$

Let's look at the number 1.3

We'll add 0 to it in order to equate with 1.02

That is:

$1.3=1.02$

Since both numbers start with 1, we'll focus on the numbers after the decimal point and discover that:

1.30>1.02

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Determine the appropriate sign according to the number line:

$0.48?0.84$

Let's compare the numbers after the decimal point since 48 is less than 84, we find that:

0.48<0.84

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Determine the appropriate sign according to the number line:

$0.655?0.55$

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:

$0.55=0.550$

Now let's consider the numbers after the decimal point and we'll discover that:

0.655>0.550

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Determine the appropriate sign according to the number line:

$0.5?0.07$

Let's look at the number 0.5

We'll add 0 one to it in order to equate with 0.07

That is:

$0.5=0.50$

Now let's consider the numbers after the decimal point and we'll discover that:

0.50>0.07

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Determine the appropriate sign according to the number line:

$0.12?0.10$

Let's compare the two numbers after the decimal point, which are 12 versus 10

Therefore:

0.12>0.10

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