Addition and Subtraction of Decimal Fractions: Solving the problem

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 following exercise in the correct order:

Add up the hundredths after the decimal point:

$8+1=9$

Add up the tenths after the decimal point:

$3+4=7$

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

$1+3=4$

$2+1=3$

We obtain the following result:

$21.38\\+13.41\\34.79$

Let's solve the following exercise in the correct order:

Subtract the hundredths after the decimal point:

$9-3=6$

Subtract the tenths after the decimal point:

$2-1=1$

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

$3-2=1$

$1-1=0$

We'll obtain the following result:

$13.29\\-12.13\\01.16$

Let's solve the following exercise in the correct order.

First, we'll proceed to 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 obtain the following result:

$22.1\\-12.0\\10.1$

To solve this problem, we'll follow these steps:

• Align the numbers by their decimal points.
• Add the numbers starting from the rightmost column.
• Ensure each column's sum does not exceed ten; if it does, carry over to the next column.

Now, let's work through each step:
Step 1: Align the decimals: 0.61 + 0.20
Step 2: Add the hundredths place: $1 + 0 = 1$.
Step 3: Add the tenths place: $6 + 2 = 8$.
Step 4: Add the units (whole number) place: There are no whole numbers to add here, so the sum remains as is.

Therefore, the solution to the problem is $0.81$.

Let's solve the exercise in order:

We'll first subtract the hundreds after the decimal point:

$0-0=0$

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

$1-1=0$

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

$3-1=2$

$3-1=2$

Therefore:

$33.10\\-11.10\\22.00$

Solve the following exercise in the correct order:

Subtract the hundreds after the decimal point:

$8-9=$

Given that we cannot subtract, we will instead borrow ten from the tenths digit after the decimal point as shown below:

$18-9=9$

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

$2-1-3=1-3$

Since we cannot subtract, we will instead borrow ten from the tens digit of the whole number to obtain the following:

$11-3=8$

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

Let's remember that we borrowed ten from the tens digit, therefore:

$9-1-5=3$

$1-1=0$

We obtain the following result:

$19.28\\-15.39\\03.89$

Ignoring the zero before the 3 we obtain the number: 3.89

Solve the following exercise in the correct order:

Let's subtract the hundreds after the decimal point:

$8-9=$

Given that we cannot subtract, we will instead borrow ten from the tenths after the decimal point and obtain the following:

$18-9=9$

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

$1-1-2=0-2$

Due to the fact that we cannot subtract, we will instead borrow ten from the tens digit of the whole number as shown below:

$10-2=8$

Finally, let's proceed to subtract the whole numbers before the decimal point accordingly.

Since we borrowed ten from the tens digit of the whole number, we will obtain the following:

$8-1-9=7-9$

Given that we cannot subtract, we will instead borrow ten from the ones digit of the whole number as shown below:

$17-9=8$

Remember that we borrowed ten from the ones digit, therefore we obtain the following:

$2-1-1=0$

And we obtain:

$28.18\\-19.29\\08.89$

Ignoring the 0 before the 8, we obtain the number: 8.89

Let's solve the exercise in order:

Let's subtract the hundreds after the decimal point

$3-9=$

Since we cannot subtract, we'll borrow ten from the tenths after the decimal point and get:

$13-9=4$

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

$3-1-5=2-5$

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

$12-5=7$

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

Since we borrowed ten from the tens digit of the whole number we get:

$6-1-5=0$

$1-1=0$

And we get:

$16.33\\-15.59\\00.74$

We can ignore the 0 before the 0 and therefore we got the number: 0.74

Let's solve the exercise in order:

Let's subtract the hundreds after the decimal point

$9-5=4$

Let's subtract the tenths after the decimal point:

$2-3=$

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

$12-3=9$

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

Since we borrowed ten from the tens digit of the whole number we get:

$6-1-3=2$

$1-1=0$

And we get:

$16.29\\-13.35\\02.94$

We can ignore the 0 before the 2, so we got the number: 2.94

Let's solve the exercise in order:

Let's subtract the hundreds after the decimal point:

$8-9=$

Since we cannot subtract, we'll borrow ten from the tenths after the decimal point and get:

$18-9=9$

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

$2-1-9=1-9$

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

$11-9=2$

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

Since we borrowed ten from the tens digit of the whole number we get:

$9-1-7=1$

$1-1=0$

And we get:

$19.28\\-17.99\\01.29$

We can ignore the 0 before the 1, so we got the number: 1.29

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 12.0 as follows:

$12.00\\+29.31\\$

Now let's solve the exercise in order:

Let's add the hundreds after the decimal point:

$0+1=1$

Let's add the tenths after the decimal point:

$0+3=3$

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

$2+9=11$

We'll add ten to the ones digit before the decimal point and get:

$1+1+2=4$

And we obtain the following:

$12.00\\+29.31\\41.31$

To avoid confusion in solving the exercise, we'll first add two zeros to the number 32.1 as follows:

$32.100\\+37.032\\$

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:

$0+3=3$

Let's multiply the tenths after the decimal point:

$1+0=1$

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

$2+7=9$

$3+3=6$

And we obtain the following:

$32.100\\+37.032\\69.132$

To avoid confusion in solving the exercise, we will first add two zeros to the number 131.2 as follows:

$131.200\\+312.522\\$

Now let's solve the exercise in order:

Let's connect the thousandths after the decimal point:

$0+2=2$

Let's connect the hundredths after the decimal point:

$0+2=2$

Let's connect the tenths after the decimal point:

$2+5=7$

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

$1+2=3$

$3+1=4$

$1+3=4$

And we obtain the following:

$131.200\\+312.522\\443.722$

To avoid confusion in solving the exercise, we will first add two zeros to the number 615.3 as follows:

$123.421\\+615.300\\$

Now let's solve the exercise in order:

Let's connect the thousandths after the decimal point:

$1+0=1$

Let's connect the hundredths after the decimal point:

$2+0=2$

Let's connect the tenths after the decimal point:

$4+3=7$

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

$3+5=8$

$2+1=3$

$1+6=7$

And we obtain the following:

$123.421\\+615.300\\738.721$

To avoid confusion in solving the exercise, we will first add two zeros to the number 210.1 as follows:

$321.301\\+210.100\\$

Now let's solve the exercise in order:

Let's connect the thousandths after the decimal point:

$1+0=1$

Let's connect the hundredths after the decimal point:

$0+0=0$

Let's connect the tenths after the decimal point:

$3+1=4$

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

$1+0=1$

$2+1=3$

$3+2=5$

And we obtain the following:

$321.301\\+210.100\\531.401$

In order to avoid confusion whilst solving the exercise, add three zeros to the number 310 as follows:

$310.000\\-110.352\\$

Proceed to solve the exercise in the correct order:

Let's subtract the thousands after the decimal point:

$0-2=$

Given that we cannot subtract, we will instead borrow ten from the tens digit of the whole number before the decimal point, due to the fact that the other numbers are also zeros.

The tens digit of the whole number before the decimal point will become 0, and the hundreds digit of the whole number before the decimal point will become 10

We'll borrow ten from the hundreds digit before the decimal point and it will change from 10 to 9, and now the tenths digit after the decimal point will become 10

We'll borrow ten from the tenths digit after the decimal point and it will change from 10 to 9, and now the hundredths digit after the decimal point will become 10

We'll borrow ten from the hundredths digit after the decimal point and it will change from 10 to 9, and now the thousandths digit after the decimal point will become 10

Now that we know how to solve the exercise, let's subtract the thousands after the decimal point:

$10-2=8$

Let's subtract the hundreds after the decimal point:

$9-5=4$

Let's subtract the tenths after the decimal point:

$9-3=6$

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

$9-0=9$

$0-1=$

Given that we cannot subtract, we will instead borrow ten from the ones digit of the whole number and we should obtain the following:

$10-1=9$

Remember that we borrowed ten from the ones digit, as shown below:

$3-1-1=1$

And we obtain:

$310.000\\-110.352\\199.648$

In order to avoid confusion whilst solving the exercise, add four zeros to the number 76 as follows:

$76.0000\\-10.3213\\$

Now let's proceed to solve the exercise in the correct order:

Let's subtract the tens of thousands after the decimal point:

$0-3=$

Given that we cannot subtract, we will instead borrow ten from the tens digit of the whole number before the decimal point, as all other numbers are also zeros.

The tens digit of the whole number before the decimal point will become 5, and the tenths digit after the decimal point will become 10

We'll borrow ten from the tenths digit after the decimal point and it will change from 10 to 9, and now the hundredths digit after the decimal point will become 10

We'll borrow ten from the hundredths digit after the decimal point and it will change from 10 to 9, and now the thousandths digit after the decimal point will become 10

We'll borrow ten from the thousandths digit after the decimal point and it will change from 10 to 9, and now the ten thousandths digit after the decimal point will become 10

Now that we know how to solve the exercise, let's subtract the ten thousandths after the decimal point:

$10-3=7$

Let's subtract the thousandths after the decimal point:

$9-1=8$

Let's subtract the hundredths after the decimal point:

$9-2=7$

Let's subtract the tenths after the decimal point:

$9-3=6$

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

$5-0=5$

$7-1=6$

And we obtain the following answer:

$76.0000\\-10.3213\\65.6787$

In order to avoid confusion whilst solving the exercise, proceed to add three zeros to the number 95 as follows:

$95.000\\-31.213\\$

Solve the exercise in order:

Subtract the thousands after the decimal point:

$0-3=$

Given that we cannot subtract, we'll instead borrow ten from the tens digit of the whole number before the decimal point, since the other numbers are also zeros.

The tens digit of the whole number before the decimal point will become 4, and the hundreds digit of the whole number before the decimal point will become 10

We'll borrow ten from the hundreds digit before the decimal point and it will change from 10 to 9, and now the tenths digit after the decimal point will become 10

We'll borrow ten from the tenths digit after the decimal point and it will change from 10 to 9, and now the hundredths digit after the decimal point will become 10

We'll borrow ten from the hundredths digit after the decimal point and it will change from 10 to 9, and now the thousandths digit after the decimal point will become 10

Now that we know how to solve the exercise, let's subtract the thousands after the decimal point:

$10-3=7$

Let's subtract the hundreds after the decimal point:

$9-1=8$

Let's subtract the tenths after the decimal point:

$9-2=7$

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

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

$5-1-1=3$

$9-3=6$

And we should obtain the following:

$95.000\\-31.213\\63.787$

In order to avoid confusion whilst solving the exercise, we will add zeros in the appropriate places.

Three zeros for the number 100 and one zero before the number 99 as follows:

$100.000\\-099.318\\$

Proceed to solve the exercise in the correct order:

Subtract the thousands after the decimal point:

$0-8=$

Given that we cannot subtract, we will instead borrow ten from the ones digit of the whole number before the decimal point, due to the fact that the other numbers are also zeros.

The ones digit of the whole number before the decimal point will become 0, and the tens digit of the whole number before the decimal point will become 10

We'll borrow ten from the tens digit of the whole number before the decimal point and it will change from 10 to 9, and now the hundreds digit of the whole number before the decimal point will become 10

We'll borrow ten from the hundreds digit of the whole number before the decimal point and it will change from 10 to 9, and now the tenths digit after the decimal point will become 10

We'll borrow ten from the tenths digit after the decimal point and it will change from 10 to 9, and now the hundredths digit after the decimal point will become 10

We'll borrow ten from the hundredths digit after the decimal point and it will change from 10 to 9, and now the thousandths digit after the decimal point will become 10

Now that we know how to solve the exercise, let's subtract the thousands after the decimal point:

$10-8=2$

Let's subtract the hundreds after the decimal point:

$9-1=8$

Let's subtract the tenths after the decimal point:

$9-3=6$

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

$9-9=0$

$9-9=0$

$0-0=0$

And we obtain the following:

$100.000\\-099.318\\000.682$

Ignoring the first two zeros results in the number: 0.682