Examples with solutions for Addition and Subtraction of Decimal Fractions: Complete with 0

Exercise #1

Circle the correct answer to the following exercise:

1.02+6.4

Video Solution

Step-by-Step Solution

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 1.02\\+6.40\\

Now let's solve the exercise in order:

We'll add the hundredths after the decimal point:

2+0=2 2+0=2

We'll add the tenths after the decimal point:

0+4=4 0+4=4

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

1+6=7 1+6=7

And we get:

1.02+6.407.42 1.02\\+6.40\\7.42

Answer

7.42

Exercise #2

Circle the correct answer to the following exercise:

5.4+3.22

Video Solution

Step-by-Step Solution

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 5.40\\+3.22\\

Now let's solve the exercise in order:

We'll add the hundredths after the decimal point:

0+2=2 0+2=2

We'll add the tenths after the decimal point:

4+2=6 4+2=6

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

5+3=8 5+3=8

And we get:

5.40+3.228.62 5.40\\+3.22\\8.62

Answer

8.62

Exercise #3

Circle the correct answer to the following exercise:

111.25+112.3

Video Solution

Step-by-Step Solution

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

111.25+112.30 111.25\\+112.30\\

Now let's solve the exercise in order:

We'll combine the hundredths after the decimal point:

5+0=5 5+0=5

We'll combine the tenths after the decimal point:

2+3=5 2+3=5

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

1+2=3 1+2=3

1+1=2 1+1=2

1+1=2 1+1=2

And we get:

111.25+112.30223.55 111.25\\+112.30\\223.55

Answer

223.55

Exercise #4

Solve the following exercise:

6.55+3.412

Video Solution

Step-by-Step Solution

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 6.550\\+3.412\\

Now let's solve the exercise in order:

Let's add the thousandths after the decimal point:

0+2=2 0+2=2

Let's add the hundredths after the decimal point:

5+1=6 5+1=6

Let's add the tenths after the decimal point:

5+4=9 5+4=9

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

6+3=9 6+3=9

And we get:

6.550+3.4129.962 6.550\\+3.412\\9.962

Answer

9.962

Exercise #5

Solve the following exercise:

115.32+115.102

Video Solution

Step-by-Step Solution

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

115.320+115.102 115.320\\+115.102\\

Now let's solve the exercise in order:

Let's multiply the thousandths after the decimal point:

0+2=2 0+2=2

Let's multiply the hundredths after the decimal point:

2+0=2 2+0=2

Let's multiply the tenths after the decimal point:

3+1=4 3+1=4

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

5+5=10 5+5=10

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

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

And we get:

115.320+115.102230.422 115.320\\+115.102\\230.422

Answer

230.422

Exercise #6

Solve the following exercise:

2.1012+3.212

Video Solution

Step-by-Step Solution

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 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 2+0=2

Let's multiply the thousandths after the decimal point:

1+2=3 1+2=3

Let's multiply the hundredths after the decimal point:

0+1=1 0+1=1

Let's multiply the tenths after the decimal point:

1+2=3 1+2=3

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

2+3=5 2+3=5

And we get:

2.1012+3.21205.3132 2.1012\\+3.2120\\5.3132

Answer

5.3132

Exercise #7

Circle the correct answer to the following exercise:

39.2-13.421

Video Solution

Step-by-Step Solution

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

39.20013.421 39.200\\-13.421\\

Now let's solve the exercise in order:

Let's subtract the thousands after the decimal point:

01= 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:

101=9 10-1=9

Let's subtract the hundreds after the decimal point:

92=7 9-2=7

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

214=14 2-1-4=1-4

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

114=7 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:

913=5 9-1-3=5

31=2 3-1=2

And we'll get:

39.20013.42125.779 39.200\\-13.421\\25.779

Answer

25.779

Exercise #8

Circle the correct answer to the following exercise:

113.1-102.32

Video Solution

Step-by-Step Solution

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 113.1 in the following way:

113.10102.32 113.10\\-102.32\\

Now let's solve the exercise in order:

Let's subtract the hundreds after the decimal point:

02= 0-2=

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

102=8 10-2=8

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

113=03 1-1-3=0-3

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

103=7 10-3=7

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

Remember that we borrowed ten from the hundreds digit, so:

312=0 3-1-2=0

10=1 1-0=1

11=0 1-1=0

And we get:

113.10102.32010.78 113.10\\-102.32\\010.78

Answer

10.78

Exercise #9

Circle the correct answer to the following exercise:

15.222-11.30

Video Solution

Step-by-Step Solution

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 11.30 as follows:

15.22211.300 15.222\\-11.300\\

Now let's solve the exercise in order:

Let's subtract the thousands after the decimal point:

20=2 2-0=2

Let's subtract the hundreds after the decimal point:

20=2 2-0=2

Let's subtract the tenths after the decimal point:

23= 2-3=

Since we cannot subtract, we will borrow ten from the tens digit in the whole number before the decimal point and get:

123=9 12-3=9

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

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

511=3 5-1-1=3

11=0 1-1=0

And we get:

15.22211.30003.922 15.222\\-11.300\\03.922

Answer

3.922

Exercise #10

Circle the correct answer to the following exercise:

435.001-321.55

Video Solution

Step-by-Step Solution

In order not to get confused when solving the exercise, we will first add the digit 0 to the number 321.550 as follows:

435.001321.550 435.001\\-321.550\\

Now let's solve the exercise in order:

Let's subtract the thousands after the decimal point:

10=1 1-0=1

Let's subtract the hundreds after the decimal point:

05= 0-5=

Since we cannot subtract, we will borrow a ten from the hundreds digit of the whole number (note that the tenths digit after the decimal point is also 0)

Now the tenths digit after the decimal point is 10, we will borrow from it a ten and get:

105=5 10-5=5

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

1015=4 10-1-5=4

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

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

511=3 5-1-1=3

32=1 3-2=1

43=1 4-3=1

And we get:

435.001321.550113.451 435.001\\-321.550\\113.451

Answer

113.451

Exercise #11

Circle the correct answer to the following exercise:33.23-30.1

Video Solution

Step-by-Step Solution

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 30.1 as follows:

33.2330.10 33.23\\-30.10\\

Now let's solve the exercise in order:

We'll subtract the hundredths after the decimal point:

30=3 3-0=3

We'll subtract the tenths after the decimal point:

21=1 2-1=1

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

30=3 3-0=3

33=0 3-3=0

And we get:

33.2330.1003.13 33.23\\-30.10\\03.13

Answer

3.13

Exercise #12

Solve the following exercise:

1.123-1.01

Video Solution

Step-by-Step Solution

To avoid confusion in solving the exercise, we'll first add the digit 0 to the number 1.01 as follows:

1.1231.010 1.123\\-1.010\\

Now let's solve the exercise in order:

Let's subtract the thousands after the decimal point:

30=3 3-0=3

Let's subtract the hundreds after the decimal point:

21=1 2-1=1

Let's subtract the tenths after the decimal point:

10=1 1-0=1

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

11=0 1-1=0

And we get:

1.1231.0100.113 1.123\\-1.010\\0.113

Answer

0.113