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

Exercise #1

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 #2

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 #3

Circle the correct answer to 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 #4

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 #5

Circle the correct answer to 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 #6

Circle the correct answer to 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 #7

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 #8

Circle the correct answer to 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

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:

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 #11

Circle the correct answer to the following exercise:

39.2-13.421

Video Solution

Answer

25.779

Exercise #12

Circle the correct answer to the following exercise:

435.001-321.55

Video Solution

Answer

113.451