Decimal Fractions - Advanced - Examples, Exercises and Solutions

Determine whether the exercise is correctly written or not.

The position of the decimal point corresponds.

Note that the decimal points are not written one below the other.

Therefore, the exercise is not written correctly.

Not true

Determine whether the exercise is correctly written or not.

The position of the decimal point corresponds.

La posición del punto decimal coincide.

Note that the decimal points are not written one below the other.

Therefore, the exercise is not written correctly.

Not true

Determine whether the exercise is correctly written or not.

The position of the decimal point corresponds.

Let's fill in the zeros in the empty space as follows:

$21.52\\+03.40\\$

Note that the decimal points are written one below the other

Therefore, the exercise is written in the correct form

True

Determine whether the exercise is correctly written or not.

The position of the decimal point corresponds..

Let's fill in the zeros in the empty space as follows:

$006.310\\+216.222\\\$We should note that the decimal points are written one below the other.

Therefore, the exercise is written in the appropriate form.

True

Write the following decimal fraction as a simple fraction and simplify:

$0.36=$

Since there are two digits after the decimal point, we divide 36 by 100:

$\frac{36}{100}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 4, so:

$\frac{36:4}{100:4}=\frac{9}{25}$

$\frac{9}{25}$

Write the following decimal fraction as a simple fraction and simplify:

$0.350$

Since there are three digits after the decimal point, we divide 350 by 1000:

$\frac{350}{1000}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 50, so:

$\frac{350:50}{1000:50}=\frac{7}{20}$

$\frac{7}{20}$

Write the following decimal fraction as a simple fraction and simplify:

$0.630$

Since there are three digits after the decimal point, we divide 630 by 1000:

$\frac{630}{1000}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 10, so:

$\frac{630:10}{1000:10}=\frac{63}{100}$

$\frac{63}{100}$

Write the following decimal fraction as a simple fraction and simplify:

$0.5=$

Since there is one digit after the decimal point, we divide 5 by 10:

$\frac{5}{10}$

Now let's find the highest number that divides both the numerator and the denominator.

In this case, the number is 5, so:

$\frac{5:5}{10:5}=\frac{1}{2}$

$\frac{1}{2}$

Solve the following exercise and circle the appropriate answer:

Let's solve the exercise in order:

We'll subtract the tenths after the decimal point:

$1-0=1$

Finally, we'll subtract the whole numbers before the decimal point accordingly:

$2-2=0$

$2-1=1$

And we get:

$22.1\\-12.0\\10.1$

10.1

Solve the following exercise and circle the appropriate answer:

Let's solve the exercise in order:

We'll subtract the hundredths after the decimal point:

$9-3=6$

We'll subtract the tenths after the decimal point:

$2-1=1$

Finally, we'll subtract the whole numbers before the decimal point accordingly:

$3-2=1$

$1-1=0$

And we'll get:

$13.29\\-12.13\\01.16$

1.16

Solve the following exercise and circle the appropriate answer:

Let's solve the exercise in order:

We'll add up the hundredths after the decimal point:

$8+1=9$

We'll add up the tenths after the decimal point:

$3+4=7$

Finally, we'll add up the whole numbers before the decimal point accordingly:

$1+3=4$

$2+1=3$

And we get:

$21.38\\+13.41\\34.79$

34.79

Solve the following exercise and circle the appropriate answer:

Let's solve the exercise in order:

We'll add up the thousandths after the decimal point:

$2+3=5$

We'll add up the hundredths after the decimal point:

$1+1=2$

We'll add up the tenths after the decimal point:

$5+3=8$

Finally, we'll subtract the whole numbers before the decimal point:

$3+4=7$

And we get:

$3.512\\+4.313\\7.825$

7.825

Write the following decimal fraction as an imaginary fraction and simplify:

$11.3$

Let's write the decimal fraction as a mixed fraction.

Since there is one digit after the decimal point, we will divide 3 by 10 and add 11, as follows:

$11+\frac{3}{10}$

Since it cannot be simplified further, the answer is:

$11\frac{3}{10}$

$11\frac{3}{10}$

Write the following decimal fraction as an imaginary fraction and simplify:

$6.9$

Let's write the decimal fraction as a mixed fraction.

Since there is one digit after the decimal point, we'll divide 9 by 10 and add 6, as follows:

$6+\frac{9}{10}$

Since it can't be simplified further, the answer is:

$6\frac{9}{10}$

$6\frac{9}{10}$

Fill in the missing sign:

$19.88\text{ }_{—\text{ }}17.10$

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

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