All Operations in Decimal Fractions: Solving the problem

Examples with solutions for All Operations in Decimal Fractions: Solving the problem

Exercise #1

Solve the following exercise and circle the appropriate answer:

33.10-11.10

Video Solution

Step-by-Step Solution

Let's solve the exercise in order:

We'll subtract the hundreds after the decimal point:

00=0 0-0=0

We'll subtract the tenths after the decimal point:

11=0 1-1=0

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

31=2 3-1=2

31=2 3-1=2

And we get:

33.1011.1022.00 33.10\\-11.10\\22.00

Since there are only zeros after the decimal point, we can ignore them and we actually got the number: 22

Answer

22

Exercise #2

Solve the following exercise and circle the appropriate answer:

22.1-12.0

Video Solution

Step-by-Step Solution

Let's solve the exercise in order:

We'll subtract the tenths after the decimal point:

10=1 1-0=1

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

22=0 2-2=0

21=1 2-1=1

And we get:

22.112.010.1 22.1\\-12.0\\10.1

Answer

10.1

Exercise #3

Solve the following exercise and circle the appropriate answer:

12.0+29.31

Video Solution

Step-by-Step Solution

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 12.00\\+29.31\\

Now let's solve the exercise in order:

Let's add the hundreds after the decimal point:

0+1=1 0+1=1

Let's add the tenths after the decimal point:

0+3=3 0+3=3

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

2+9=11 2+9=11

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

1+1+2=4 1+1+2=4

And we get:

12.00+29.3141.31 12.00\\+29.31\\41.31

Answer

41.31

Exercise #4

Solve the following exercise and circle the appropriate answer:

3.512+4.313

Video Solution

Step-by-Step Solution

Let's solve the exercise in order:

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

2+3=5 2+3=5

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

1+1=2 1+1=2

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

5+3=8 5+3=8

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

3+4=7 3+4=7

And we get:

3.512+4.3137.825 3.512\\+4.313\\7.825

Answer

7.825

Exercise #5

Solve the following exercise and circle the appropriate answer:

21.38+13.41

Video Solution

Step-by-Step Solution

Let's solve the exercise in order:

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

8+1=9 8+1=9

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

3+4=7 3+4=7

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

1+3=4 1+3=4

2+1=3 2+1=3

And we get:

21.38+13.4134.79 21.38\\+13.41\\34.79

Answer

34.79

Exercise #6

Solve the following exercise and circle the appropriate answer:

13.29-12.13

Video Solution

Step-by-Step Solution

Let's solve the exercise in order:

We'll subtract the hundredths after the decimal point:

93=6 9-3=6

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:

32=1 3-2=1

11=0 1-1=0

And we'll get:

13.2912.1301.16 13.29\\-12.13\\01.16

Answer

1.16

Exercise #7

Solve the following exercise and circle the appropriate answer:

32.1+37.032

Video Solution

Step-by-Step Solution

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

32.100+37.032 32.100\\+37.032\\

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:

0+3=3 0+3=3

Let's multiply the tenths after the decimal point:

1+0=1 1+0=1

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

2+7=9 2+7=9

3+3=6 3+3=6

And we get:

32.100+37.03269.132 32.100\\+37.032\\69.132

Answer

69.132

Exercise #8

Solve the following exercise and circle the appropriate answer:

321.301+210.1

Video Solution

Step-by-Step Solution

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

321.301+210.100 321.301\\+210.100\\

Now let's solve the exercise in order:

Let's connect the thousandths after the decimal point:

1+0=1 1+0=1

Let's connect the hundredths after the decimal point:

0+0=0 0+0=0

Let's connect the tenths after the decimal point:

3+1=4 3+1=4

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

1+0=1 1+0=1

2+1=3 2+1=3

3+2=5 3+2=5

And we get:

321.301+210.100531.401 321.301\\+210.100\\531.401

Answer

531.401

Exercise #9

Solve the following exercise and circle the appropriate answer:

19.28-15.39

Video Solution

Step-by-Step Solution

Let's solve the exercise in order:

Let's subtract the hundreds after the decimal point:

89= 8-9=

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

189=9 18-9=9

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

213=13 2-1-3=1-3

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

113=8 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:

915=3 9-1-5=3

11=0 1-1=0

And we get:

19.2815.3903.89 19.28\\-15.39\\03.89

We can ignore the zero before the 3 and we got the number: 3.89

Answer

3.89

Exercise #10

Solve the following exercise and circle the appropriate answer:

16.33-15.59

Video Solution

Step-by-Step Solution

Let's solve the exercise in order:

Let's subtract the hundreds after the decimal point

39= 3-9=

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

139=4 13-9=4

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

315=25 3-1-5=2-5

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

125=7 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:

615=0 6-1-5=0

11=0 1-1=0

And we get:

16.3315.5900.74 16.33\\-15.59\\00.74

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

Answer

0.74

Exercise #11

Solve the following exercise and circle the appropriate answer:

16.29-13.35

Video Solution

Step-by-Step Solution

Let's solve the exercise in order:

Let's subtract the hundreds after the decimal point

95=4 9-5=4

Let's subtract the tenths after the decimal point:

23= 2-3=

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

123=9 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:

613=2 6-1-3=2

11=0 1-1=0

And we get:

16.2913.3502.94 16.29\\-13.35\\02.94

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

Answer

2.94

Exercise #12

Solve the following exercise and circle the appropriate answer:

19.28-17.99

Video Solution

Step-by-Step Solution

Let's solve the exercise in order:

Let's subtract the hundreds after the decimal point:

89= 8-9=

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

189=9 18-9=9

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

219=19 2-1-9=1-9

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

119=2 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:

917=1 9-1-7=1

11=0 1-1=0

And we get:

19.2817.9901.29 19.28\\-17.99\\01.29

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

Answer

1.29

Exercise #13

Solve the following exercise and circle the appropriate answer:

131.2+312.522

Video Solution

Step-by-Step Solution

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

131.200+312.522 131.200\\+312.522\\

Now let's solve the exercise in order:

Let's connect the thousandths after the decimal point:

0+2=2 0+2=2

Let's connect the hundredths after the decimal point:

0+2=2 0+2=2

Let's connect the tenths after the decimal point:

2+5=7 2+5=7

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

1+2=3 1+2=3

3+1=4 3+1=4

1+3=4 1+3=4

And we get:

131.200+312.522443.722 131.200\\+312.522\\443.722

Answer

443.722

Exercise #14

Solve the following exercise and circle the appropriate answer:

123.421+615.3

Video Solution

Step-by-Step Solution

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

123.421+615.300 123.421\\+615.300\\

Now let's solve the exercise in order:

Let's connect the thousandths after the decimal point:

1+0=1 1+0=1

Let's connect the hundredths after the decimal point:

2+0=2 2+0=2

Let's connect the tenths after the decimal point:

4+3=7 4+3=7

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

3+5=8 3+5=8

2+1=3 2+1=3

1+6=7 1+6=7

And we get:

123.421+615.300738.721 123.421\\+615.300\\738.721

Answer

738.721

Exercise #15

2.6:0.1= 2.6:0.1=

Video Solution

Answer

26 26

Exercise #16

2.4:1.2= 2.4:1.2=

Video Solution

Answer

2 2

Exercise #17

0.64:0.8= 0.64:0.8=

Video Solution

Answer

0.8 0.8

Exercise #18

0.18:0.3= 0.18:0.3=

Video Solution

Answer

0.6 0.6

Exercise #19

1.6:0.2= 1.6:0.2=

Video Solution

Answer

8 8

Exercise #20

15.5:0.5= 15.5:0.5=

Video Solution

Answer

31 31