Addition and Subtraction of Decimal Fractions - Examples, Exercises and Solutions

First let's fill in the zeros in the empty spaces as follows:

$21.52\\+03.40\\$Note that the decimal points are written one below the other.

Therefore, the positions of the decimal points correspond and thus the exercise is written in the correct form.

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

Therefore, the exercise is not written correctly.

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

Therefore, the exercise is not written correctly.

First let's fill the zeros in the empty space as follows:

$006.310\\+216.222\\\$

Here We should note that the decimal points are written one below the other.

Therefore, the exercise is written in the appropriate form.

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 6.4 as follows:

$1.02\\+6.40\\$

Now let's solve the exercise in order:

We'll add the hundredths after the decimal point:

$2+0=2$

We'll add the tenths after the decimal point:

$0+4=4$

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

$1+6=7$

And we get:

$1.02\\+6.40\\7.42$

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 5.4 as follows:

$5.40\\+3.22\\$

Now let's solve the exercise in order:

We'll add the hundredths after the decimal point:

$0+2=2$

We'll add the tenths after the decimal point:

$4+2=6$

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

$5+3=8$

And we get:

$5.40\\+3.22\\8.62$

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 6.55 as follows:

$6.550\\+3.412\\$

Now let's solve the exercise in order:

Let's add the thousandths after the decimal point:

$0+2=2$

Let's add the hundredths after the decimal point:

$5+1=6$

Let's add the tenths after the decimal point:

$5+4=9$

Finally, let's add the whole numbers before the decimal point:

$6+3=9$

And we get:

$6.550\\+3.412\\9.962$

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 112.3 as follows:

$111.25\\+112.30\\$

Now let's solve the exercise in order:

We'll combine the hundredths after the decimal point:

$5+0=5$

We'll combine the tenths after the decimal point:

$2+3=5$

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

$1+2=3$

$1+1=2$

$1+1=2$

And we get:

$111.25\\+112.30\\223.55$

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 115.32 as follows:

$115.320\\+115.102\\$

Now let's solve the exercise in order:

Let's multiply the thousandths after the decimal point:

$0+2=2$

Let's multiply the hundredths after the decimal point:

$2+0=2$

Let's multiply the tenths after the decimal point:

$3+1=4$

Finally, let's multiply the whole numbers before the decimal point accordingly:

$5+5=10$

We'll add the tens to the tens digit and get:

$1+1+1=3$$1+1=2$

And we get:

$115.320\\+115.102\\230.422$

To avoid confusion in solving the exercise, we'll first add the digit 0 to the number 3.212 in the following way:

$2.1012\\+3.2120\\$

Now let's solve the exercise in order:

Let's multiply the ten-thousandths after the decimal point:

$2+0=2$

Let's multiply the thousandths after the decimal point:

$1+2=3$

Let's multiply the hundredths after the decimal point:

$0+1=1$

Let's multiply the tenths after the decimal point:

$1+2=3$

Finally, let's multiply the whole numbers before the decimal point:

$2+3=5$

And we get:

$2.1012\\+3.2120\\5.3132$

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:

$13.29\\-12.13\\01.16$

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:

$21.38\\+13.41\\34.79$

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:

$3.512\\+4.313\\7.825$

Let's solve the exercise in order.

First, we'll subtract the tenths after the decimal point:

$1-0=1$

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

$2-2=0$

$2-1=1$

We get:

$22.1\\-12.0\\10.1$

To avoid confusion in solving the exercise, we'll first add two zeros to the number 39.2 as follows:

$39.200\\-13.421\\$

Now let's solve the exercise in order:

Let's subtract the thousands after the decimal point:

$0-1=$

Since we cannot subtract, we'll borrow ten from the tenths digit after the decimal point (note that the hundreds digit is 0 and we cannot borrow from there)

After borrowing ten from the tenths digit, the hundreds digit will become 10 and from it we'll borrow ten to solve our exercise.

The hundreds digit will become 9 and we'll get the exercise:

$10-1=9$

Let's subtract the hundreds after the decimal point:

$9-2=7$

Let's subtract the tenths after the decimal point, remembering that we borrowed ten from it, therefore:

$2-1-4=1-4$

Since we cannot subtract, we'll borrow ten from the tens digit of the whole number and get:

$11-4=7$

Finally, let's subtract the whole numbers before the decimal point accordingly:

Remember that we borrowed ten from the tens digit, therefore:

$9-1-3=5$

$3-1=2$

And we'll get:

$39.200\\-13.421\\25.779$