Basic Mathematics for College Students

1.2 Adding Whole Numbers 17

Your solution should

look like this:

2

1

7

 18

45

Self Check 3

Add:

Now TryProblems 37 and 41

675 1,4971,527

Solution
To help you understand the process, each step of this addition is explained
separately. Your solution need only look like the laststep.
We begin by adding the digits in the ones column: 7  8 15. Because 15 
1 ten 5 ones, we write 5 in the ones column of the answer and carry 1 to the tens
column.

Add the digits in the ones column: 7  8 15. Carry 1 to the tens column.

Then we add the digits in the tens column.

The sum is 45.

Add the digits in the tens

column: 1  2  1 4.

Place the result of 4 in the

tens column of the answer.

2

1

7

 1 8

4 5

2

1

7

 1 8

5

EXAMPLE (^3) Add:
Strategy We will write the numbers in vertical form so that corresponding place
value columns are lined up. Then we will add the digits in each column, watching
for any sums that are greater than 9.
WHY If the sum of the digits in any column is more than 9, we must carry.
Solution
We write the addition in vertical form, so that the corresponding digits are lined up.
Each step of this addition is explained separately. Your solution need only look like
the laststep.
The sum is 17,802.
Add the digits in the thousands column: 1  9  7 17.
Write 7 in the thousands column of the answer.
Write 1 in the ten thousands column.

9

1

, 8

2

3

1

5

6 9 2

 7 , 2 7 5

17 , 8 0 2

Add the digits in the hundreds column: 2  8  6  2 18.

Write 8 in the hundreds column of the answer and carry 1 to the

thousands column.

9

1

, 8

2

3

1

5

6 9 2

 7 , 2 7 5

8 0 2

Add the digits in the tens column: 1  3  9  7 20. Write 0 in

the tens column of the answer and carry 2 to the hundreds column.

9 , 8

2

3

1

5

6 9 2

 7 , 2 7 5

0 2

Add the digits in the ones column: 5  2  5 12. Write 2 in

the ones column of the answer and carry 1 to the tens column.

9 , 8 3

1

5

6 9 2

 7 , 2 7 5

2

9,835 692 7,275

Your solution should

look like this:

9

1

, 8

2

3

1

5

6 9 2

 7, 2 7 5

1 7, 8 0 2