Page 39 - Basic College Mathematics with Early Integers

1.3 ADDING WHOLE NUMBERS AND PERIMETER
Objectives

Add Whole Numbers.

Find the Perimeter of a Polygon. Objective Adding Whole Numbers
Solve Problems by Adding Whole According to ConsumerSearch, the iPod nano is the best overall MP3 player. (The
Numbers. newest nano also contains a video camera!)
Suppose that an electronics store received a shipment of two boxes of iPod
nanos one day and an additional four boxes of iPod nanos the next day. The total
shipment in the two days can be found by adding 2 and 4.
2 boxes of iPod nanos + 4 boxes of iPod nanos = 6 boxes of iPod nanos

The sum (or total) is 6 boxes of iPod nanos. Each of the numbers 2 and 4 is called an
addend, and the process of finding the sum is called addition.
2 + 4 = 6

æ æ æ
addend addend sum

To add whole numbers, we add the digits in the ones place, then the tens place,
then the hundreds place, and so on. For example, let’s add 2236 + 160.

2 2 3 6 Line up numbers vertically so that the place values correspond.Then
± 1 6 0 add digits in corresponding place values, starting with the ones place.
2 3 9 6
sum of ones
sum of tens
sum of hundreds
sum of thousands

PRACTICE 1 Example 1 Add: 23 + 136
Add: 7235 + 542
Solution: 23
+ 136
159

Work Practice 1

When the sum of digits in corresponding place values is more than 9, carrying is nec-
essary. For example, to add 365 + 89, add the ones-place digits first.

1
Carrying 3 6 5
+ 8 9 5 ones + 9 ones = 14 ones or 1 ten + 4 ones
4 Write the 4 ones in the ones place and carry the 1 ten to the tens place.
Next, add the tens-place digits.
1 1
3 6 5
+ 8 9 1 ten + 6 tens + 8 tens = 15 tens or 1 hundred + 5 tens
5 4 Write the 5 tens in the tens place and carry the 1 hundred to the hundreds place.
Next, add the hundreds-place digits. Copyright 2012 Pearson Education, Inc.
1 1
365
Answer + 89 1 hundred + 3 hundreds = 4 hundreds
1. 7777 454 Write the 4 hundreds in the hundreds place.
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