We will solve addition and subtraction operations of decimal numbers in vertical form, always keeping in mind the following rules: • All the rules that are applicable to the addition and subtraction of whole numbers also apply to decimal numbers. • The decimal points must always be aligned one under the other. • Numbers must be written in an orderly manner - both to the right of the decimal point and to its left (tenths under tenths, hundredths under hundredths, and so on)
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 obtain the following:
6.550+3.4129.962
Answer
9.962
Exercise #12
Choose the correct answer to the following exercise:
Video Solution
Step-by-Step Solution
To avoid confusion, 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 then add the tenths after the decimal point:
4+2=6
Finally, we'll add the whole numbers before the decimal point:
5+3=8
Finally, simply solve the addition as follows:
5.40+3.228.62
Answer
8.62
Exercise #13
Choose the correct answer to the following exercise:
Video Solution
Step-by-Step Solution
To avoid confusion, 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 start by adding the hundredths after the decimal point:
2+0=2
We'll then add the tenths after the decimal point:
0+4=4
Finally, we will add the units before the decimal point:
1+6=7
Finally, calculate as follows:
1.02+6.407.42
Answer
7.42
Exercise #14
Choose the correct answer:
Video Solution
Step-by-Step Solution
To avoid confusion when solving the exercise, we will first add the digit 0 to the number 112.3 as follows:
111.25+112.30
First we'll combine the hundredths after the decimal point:
5+0=5
Next 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
This gives us:
111.25+112.30223.55
Answer
223.55
Exercise #15
Circle the correct answer to the following exercise:
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:
435.001−321.550
Now let's solve the exercise in order:
Let's subtract the thousands after the decimal point:
1−0=1
Let's subtract the hundreds after the decimal point:
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:
10−5=5
Let's subtract the tenths after the decimal point, remembering that we borrowed a ten, therefore:
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: