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Add Whole Numbers

Module by: First Last. E-mail the author

Summary: By the end of this section, you will be able to:

  • Use addition notation
  • Model addition of whole numbers
  • Add whole numbers without models
  • Translate word phrases to math notation
  • Add whole numbers in applications

Note: You are viewing an old style version of this document. The new style version is available here.

Note:

Before you get started, take this readiness quiz.

  1. What is the number modeled by the base-10base-10 blocks?
    An image consisting of three items. The first item is two squares of 100 blocks each, 10 blocks wide and 10 blocks tall. The second item is one horizontal rod containing 10 blocks. The third item is 5 individual blocks.
    If you missed this problem, review (Reference).
  2. Write the number three hundred forty-two thousand six using digits?
    If you missed this problem, review (Reference).

Use Addition Notation

A college student has a part-time job. Last week he worked 33 hours on Monday and 44 hours on Friday. To find the total number of hours he worked last week, he added 33 and 4.4.

The operation of addition combines numbers to get a sum. The notation we use to find the sum of 33 and 44 is:

3+43+4

We read this as three plus four and the result is the sum of three and four. The numbers 33 and 44 are called the addends. A math statement that includes numbers and operations is called an expression.

Note: Addition Notation:

To describe addition, we can use symbols and words.

Operation Notation Expression Read as Result
Addition ++ 3+43+4 three plus four the sum of 33 and 44

Example 1

Problem 1

Translate from math notation to words:

  1. 7+17+1
  2. 12+1412+14

Solution: Solution
  • The expression consists of a plus symbol connecting the addends 7 and 1. We read this as seven plus one. The result is the sum of seven and one.
  • The expression consists of a plus symbol connecting the addends 12 and 14. We read this as twelve plus fourteen. The result is the sum of twelve and fourteen.

Note:

Exercise 1

Translate from math notation to words:

  1. 8+48+4
  2. 18+1118+11
Solution
  • eight plus four; the sum of eight and four
  • eighteen plus eleven; the sum of eighteen and eleven

Note:

Exercise 2

Translate from math notation to words:

  1. 21+1621+16
  2. 100+200100+200
Solution
  1. twenty-one plus sixteen; the sum of twenty-one and sixteen
  2. one hundred plus two hundred; the sum of one hundred and two hundred

Model Addition of Whole Numbers

Addition is really just counting. We will model addition with base-10base-10 blocks. Remember, a block represents 11 and a rod represents 10.10. Let’s start by modeling the addition expression we just considered, 3+4.3+4.

Each addend is less than 10,10, so we can use ones blocks.

Table 2
We start by modeling the first number with 3 blocks. CNX_BMath_Figure_01_02_019_img-02.png
Then we model the second number with 4 blocks. CNX_BMath_Figure_01_02_019_img-03.png
Count the total number of blocks. CNX_BMath_Figure_01_02_019_img-04.png

There are 77 blocks in all. We use an equal sign (=)(=) to show the sum. A math sentence that shows that two expressions are equal is called an equation. We have shown that. 3+4=7.3+4=7.

Note:

Doing the Manipulative Mathematics activity “Model Addition of Whole Numbers” will help you develop a better understanding of adding whole numbers.

Example 2

Problem 1

Model the addition 2+6.2+6.

Solution: Solution

2+62+6 means the sum of 22 and 66

Each addend is less than 10, so we can use ones blocks.

Table 3
Model the first number with 2 blocks. CNX_BMath_Figure_01_02_016_img-02.png
Model the second number with 6 blocks. CNX_BMath_Figure_01_02_016_img-03.png
Count the total number of blocks CNX_BMath_Figure_01_02_016_img-04.png
There are 88 blocks in all, so 2+6=8.2+6=8.

Note:

Exercise 3

Model: 3+6.3+6.

Solution


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Note:

Exercise 4

Model: 5+1.5+1.

Solution


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When the result is 1010 or more ones blocks, we will exchange the 1010 blocks for one rod.

Example 3

Problem 1

Model the addition 5+8.5+8.

Solution: Solution

5+85+8 means the sum of 55 and 8.8.

Table 4
Each addend is less than 10, se we can use ones blocks.  
Model the first number with 5 blocks. CNX_BMath_Figure_01_02_017_img-02.png
Model the second number with 8 blocks. CNX_BMath_Figure_01_02_017_img-03.png
Count the result. There are more than 10 blocks so we exchange 10 ones blocks for 1 tens rod. CNX_BMath_Figure_01_02_017_img-04.png
Now we have 1 ten and 3 ones, which is 13. 5 + 8 = 13

Notice that we can describe the models as ones blocks and tens rods, or we can simply say ones and tens. From now on, we will use the shorter version but keep in mind that they mean the same thing.

Note:

Exercise 5

Model the addition: 5+7.5+7.

Solution


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Note:

Exercise 6

Model the addition: 6+8.6+8.

Solution


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Next we will model adding two digit numbers.

Example 4

Problem 1

Model the addition: 17+26.17+26.

Solution: Solution

17+2617+26 means the sum of 17 and 26.

Model the 17. 1 ten and 7 ones CNX_BMath_Figure_01_02_018_img-02.png
Model the 26. 2 tens and 6 ones CNX_BMath_Figure_01_02_018_img-03.png
Combine. 3 tens and 13 ones CNX_BMath_Figure_01_02_018_img-04.png
Exchange 10 ones for 1 ten. 4 tens and 3 ones
40+3=4340+3=43
CNX_BMath_Figure_01_02_018_img-05.png
We have shown that 17+26=4317+26=43    

Note:

Exercise 7

Model each addition: 15+27.15+27.

Solution


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Note:

Exercise 8

Model each addition: 16+29.16+29.

Solution


No Alt Text

Add Whole Numbers Without Models

Now that we have used models to add numbers, we can move on to adding without models. Before we do that, make sure you know all the one digit addition facts. You will need to use these number facts when you add larger numbers.

Imagine filling in Table 6 by adding each row number along the left side to each column number across the top. Make sure that you get each sum shown. If you have trouble, model it. It is important that you memorize any number facts you do not already know so that you can quickly and reliably use the number facts when you add larger numbers.

Table 6
+ 0 1 2 3 4 5 6 7 8 9
0 0 1 2 3 4 5 6 7 8 9
1 1 2 3 4 5 6 7 8 9 10
2 2 3 4 5 6 7 8 9 10 11
3 3 4 5 6 7 8 9 10 11 12
4 4 5 6 7 8 9 10 11 12 13
5 5 6 7 8 9 10 11 12 13 14
6 6 7 8 9 10 11 12 13 14 15
7 7 8 9 10 11 12 13 14 15 16
8 8 9 10 11 12 13 14 15 16 17
9 9 10 11 12 13 14 15 16 17 18

Did you notice what happens when you add zero to a number? The sum of any number and zero is the number itself. We call this the Identity Property of Addition. Zero is called the additive identity.

Note: Identity Property of Addition:

The sum of any number aa and 00 is the number.

a+0=a0+a=aa+0=a0+a=a

Example 5

Problem 1

Find each sum:

  1. 0+110+11
  2. 42+042+0

Solution: Solution
Table 7
The first addend is zero. The sum of any number and zero is the number. 0+11=110+11=11
The second addend is zero. The sum of any number and zero is the number. 42+0=4242+0=42

Note:

Exercise 9

Find each sum:

  1. 0+190+19
  2. 39+039+0

Solution
  1. 0+19=190+19=19
  2. 39+0=3939+0=39

Note:

Exercise 10

Find each sum:

  1. 0+240+24
  2. 57+057+0

Solution
  1. 0+24=240+24=24
  2. 57+0=5757+0=57

Look at the pairs of sums.

2+3=52+3=5 3+2=53+2=5
4+7=114+7=11 7+4=117+4=11
8+9=178+9=17 9+8=179+8=17

Notice that when the order of the addends is reversed, the sum does not change. This property is called the Commutative Property of Addition, which states that changing the order of the addends does not change their sum.

Note: Commutative Property of Addition:

Changing the order of the addends aa and bb does not change their sum.

a+b=b+aa+b=b+a

Example 6

Problem 1

Add:

  1. 8+78+7
  2. 7+87+8
Solution: Solution
  •  
    Add. 8+78+7
      1515
  •  
    Add. 7+87+8
      1515

Did you notice that changing the order of the addends did not change their sum? We could have immediately known the sum from part just by recognizing that the addends were the same as in part , but in the reverse order. As a result, both sums are the same.

Note:

Exercise 11

Add: 9+79+7 and 7+9.7+9.

Solution

9+7=16; 7+9=169+7=16; 7+9=16

Note:

Exercise 12

Add: 8+68+6 and 6+8.6+8.

Solution

8+6=14; 6+8=148+6=14; 6+8=14

Example 7

Problem 1

Add: 28+61.28+61.

Solution: Solution

To add numbers with more than one digit, it is often easier to write the numbers vertically in columns.

Table 11
Write the numbers so the ones and tens digits line up vertically. 28 +61____28 +61____
Then add the digits in each place value.
Add the ones: 8+1=98+1=9
Add the tens: 2+6=82+6=8
28 +61____8928 +61____89

Note:

Exercise 13

Add: 32+54.32+54.

Solution

32+54=8632+54=86

Note:

Exercise 14

Add: 25+74.25+74.

Solution

25+74=9925+74=99

In the previous example, the sum of the ones and the sum of the tens were both less than 10.10. But what happens if the sum is 1010 or more? Let’s use our base-10base-10 model to find out. Figure 1 shows the addition of 1717 and 2626 again.

Figure 1
An image containing two groups of items. The left group includes 1 horizontal rod with 10 blocks and 7 individual blocks 2 horizontal rods with 10 blocks each and 6 individual blocks. The label to the left of this group of items is “17 + 26 =”. The right group contains two items. Four horizontal rods containing 10 blocks each. Then, 3 individual blocks. The label for this group is “17 + 26 = 43”.

When we add the ones, 7+6,7+6, we get 1313 ones. Because we have more than 1010 ones, we can exchange 1010 of the ones for 11 ten. Now we have 44 tens and 33 ones. Without using the model, we show this as a small red 11 above the digits in the tens place.

When the sum in a place value column is greater than 9,9, we carry over to the next column to the left. Carrying is the same as regrouping by exchanging. For example, 1010 ones for 11 ten or 1010 tens for 11 hundred.

Note: Add whole numbers.:

  1. Step 1. Write the numbers so each place value lines up vertically.
  2. Step 2. Add the digits in each place value. Work from right to left starting with the ones place. If a sum in a place value is more than 9,9, carry to the next place value.
  3. Step 3. Continue adding each place value from right to left, adding each place value and carrying if needed.

Example 8

Problem 1

Add: 43+69.43+69.

Solution: Solution
Table 12
Write the numbers so the digits line up vertically. 43 +69____43 +69____
Add the digits in each place.
Add the ones: 3+9=123+9=12
 
Write the 22 in the ones place in the sum.
Add the 11 ten to the tens place.
413 +69____2413 +69____2
Now add the tens: 1+4+6=111+4+6=11
Write the 11 in the sum.
413 +69____112413 +69____112

Note:

Exercise 15

Add: 35+98.35+98.

Solution

35+98=13335+98=133

Note:

Exercise 16

Add: 72+89.72+89.

Solution

72+89=16172+89=161

Example 9

Problem 1

Add: 324+586.324+586.

Solution: Solution
Table 13
Write the numbers so the digits line up vertically. ...
Add the digits in each place value.
Add the ones: 4+6=104+6=10
Write the 00 in the ones place in the sum and carry the 11 ten to the tens place.
...
Add the tens: 1+2+8=111+2+8=11
Write the 11 in the tens place in the sum and carry the 11 hundred to the hundreds
...
Add the hundreds: 1+3+5=91+3+5=9
Write the 99 in the hundreds place.
...

Note:

Exercise 17

Add: 456+376.456+376.

Solution

456+376=832456+376=832

Note:

Exercise 18

Add: 269+578.269+578.

Solution

269+578=847269+578=847

Example 10

Problem 1

Add: 1,683+479.1,683+479.

Solution: Solution
Table 14
Write the numbers so the digits line up vertically. 1,683 +479______1,683 +479______
Add the digits in each place value.  
Add the ones: 3+9=12.3+9=12.
Write the 22 in the ones place of the sum and carry the 11 ten to the tens place.
1,6813 +479______21,6813 +479______2
Add the tens: 1+7+8=161+7+8=16
Write the 66 in the tens place and carry the 11 hundred to the hundreds place.
1,61813 +479______621,61813 +479______62
Add the hundreds: 1+6+4=111+6+4=11
Write the 11 in the hundreds place and carry the 11 thousand to the thousands place.
1,61813 +479______1621,61813 +479______162
Add the thousands 1+1=21+1=2.
Write the 22 in the thousands place of the sum.
1,61813 +479______2,1621,61813 +479______2,162

When the addends have different numbers of digits, be careful to line up the corresponding place values starting with the ones and moving toward the left.

Note:

Exercise 19

Add: 4,597+685.4,597+685.

Solution

4,597+685=5,2824,597+685=5,282

Note:

Exercise 20

Add: 5,837+695.5,837+695.

Solution

5,837+695=6,5325,837+695=6,532

Example 11

Problem 1

Add: 21,357+861+8,596.21,357+861+8,596.

Solution: Solution
Table 15
Write the numbers so the place values line up vertically. 21,357 861 +8,596_______21,357 861 +8,596_______
Add the digits in each place value.  
Add the ones: 7+1+6=147+1+6=14
Write the 44 in the ones place of the sum and carry the 11 to the tens place.
21,3517 861 +8,596_______ 421,3517 861 +8,596_______ 4
Add the tens: 1+5+6+9=211+5+6+9=21
Write the 11 in the tens place and carry the 22 to the hundreds place.
21,32517 861 +8,596_______ 1421,32517 861 +8,596_______ 14
Add the hundreds: 2+3+8+5=182+3+8+5=18
Write the 88 in the hundreds place and carry the 11 to the thousands place.
21,132517 861 +8,596_______ 81421,132517 861 +8,596_______ 814
Add the thousands 1+1+8=101+1+8=10.
Write the 00 in the thousands place and carry the 11 to the ten thousands place.
211,132517 861 +8,596_______ 0814211,132517 861 +8,596_______ 0814
Add the ten-thousands 1+2=31+2=3.
Write the 33 in the ten thousands place in the sum.
211,132517 861 +8,596_______ 30,814211,132517 861 +8,596_______ 30,814

This example had three addends. We can add any number of addends using the same process as long as we are careful to line up the place values correctly.

Note:

Exercise 21

Add: 46,195+397+6,281.46,195+397+6,281.

Solution

46,195+397+6,281=52,87346,195+397+6,281=52,873

Note:

Exercise 22

Add: 53,762+196+7,458.53,762+196+7,458.

Solution

53,762+196+7,458=61,41653,762+196+7,458=61,416

Translate Word Phrases to Math Notation

Earlier in this section, we translated math notation into words. Now we’ll reverse the process. We’ll translate word phrases into math notation. Some of the word phrases that indicate addition are listed in Table 16.

Table 16
Operation Words Example Expression
Addition plus
sum
increased by
more than
total of
added to
11 plus 22
the sum of 33 and 44
55 increased by 66
88 more than 77
the total of 99 and 55
66 added to 44
1+21+2
3+43+4
5+65+6
7+87+8
9+59+5
4+64+6

Example 12

Problem 1

Translate and simplify: the sum of 1919 and 23.23.

Solution: Solution

The word sum tells us to add. The words of 1919 and 2323 tell us the addends.

Table 17
  The sum of 1919 and 2323
Translate. 19+2319+23
Add. 4242
  The sum of 1919 and 2323 is 42.42.

Note:

Exercise 23

Translate and simplify: the sum of 1717 and 26.26.

Solution

Translate: 17+2617+26; Simplify: 4343

Note:

Exercise 24

Translate and simplify: the sum of 2828 and 14.14.

Solution

Translate: 28+1428+14; Simplify: 4242

Example 13

Problem 1

Translate and simplify: 2828 increased by 31.31.

Solution: Solution

The words increased by tell us to add. The numbers given are the addends.

Table 18
  2828 increased by 31.31.
Translate. 28+3128+31
Add. 5959
  So 2828 increased by 3131 is 59. 59.

Note:

Exercise 25

Translate and simplify: 2929 increased by 76.76.

Solution

Translate: 29+7629+76; Simplify 105105

Note:

Exercise 26

Translate and simplify: 3737 increased by 69.69.

Solution

Translate 37 + 69; Simplify 106

Add Whole Numbers in Applications

Now that we have practiced adding whole numbers, let’s use what we’ve learned to solve real-world problems. We’ll start by outlining a plan. First, we need to read the problem to determine what we are looking for. Then we write a word phrase that gives the information to find it. Next we translate the word phrase into math notation and then simplify. Finally, we write a sentence to answer the question.

Example 14

Problem 1

Hao earned grades of 87,93,68,95,and8987,93,68,95,and89 on the five tests of the semester. What is the total number of points he earned on the five tests?

Solution: Solution

We are asked to find the total number of points on the tests.

Table 19
Write a phrase. the sum of points on the tests
Translate to math notation. 87+93+68+95+8987+93+68+95+89
Then we simplify by adding.  
Since there are several numbers, we will write them vertically. 837936895+89____432837936895+89____432
Write a sentence to answer the question. Hao earned a total of 432 points.

Notice that we added points, so the sum is 432432 points. It is important to include the appropriate units in all answers to applications problems.

Note:

Exercise 27

Mark is training for a bicycle race. Last week he rode 1818 miles on Monday, 1515 miles on Wednesday, 2626 miles on Friday, 4949 miles on Saturday, and 3232 miles on Sunday. What is the total number of miles he rode last week?

Solution

He rode 140 miles.

Note:

Exercise 28

Lincoln Middle School has three grades. The number of students in each grade is 230,165,and325.230,165,and325. What is the total number of students?

Solution

The total number is 720 students.

Some application problems involve shapes. For example, a person might need to know the distance around a garden to put up a fence or around a picture to frame it. The perimeter is the distance around a geometric figure. The perimeter of a figure is the sum of the lengths of its sides.

Example 15

Problem 1

Find the perimeter of the patio shown.

This is an image of a perimeter of a patio. There are six sides. The far left side is labeled 4 feet, the top side is labeled 9 feet, the right side is short and labeled 2 feet, then extends across to the left and is labeled 3 feet. From here, the side extends down and is labeled 2 feet. Finally, the base is labeled 6 feet.
Solution: Solution
Table 20
We are asked to find the perimeter.  
Write a phrase. the sum of the sides
Translate to math notation. 4+6+2+3+2+94+6+2+3+2+9
Simplify by adding. 2626
Write a sentence to answer the question.  
We added feet, so the sum is 2626 feet. The perimeter of the patio is 2626 feet.

Note:

Exercise 29

Find the perimeter of each figure. All lengths are in inches.

This image includes 8 sides. Side one on the left is labeled 4 inches, side 2 on the top is labeled 9 inches, side 3 on the right is labeled 4 inches, side 4 is labeled 3 inches, side 5 is labeled 2 inches, side 6 is labeled 3 inches, side 7 is labeled 2 inches, and side 8 is labeled 3 inches.
Solution

The perimeter is 30 inches.

Note:

Exercise 30

Find the perimeter of each figure. All lengths are in inches.

This image includes 8 sides. Moving in a clockwise direction, the first side is labeled 2 inches, side 2 is labeled 12 inches, side 3 is labeled 6 inches, side 4 is labeled 4 inches, side 5 is labeled 2 inches, side 6 is labeled 4 inches, side 7 is labeled 2 inches and side 8 is labeled 4 inches.
Solution

The perimeter is 36 inches.

Key Concepts

  • Addition Notation To describe addition, we can use symbols and words.
    Operation Notation Expression Read as Result
    Addition ++ 3+43+4 three plus four the sum of 33 and 44
  • Identity Property of Addition
    • The sum of any number aa and 00 is the number. a+0=aa+0=a 0+a=a0+a=a
  • Commutative Property of Addition
    • Changing the order of the addends aa and bb does not change their sum. a+b=b+aa+b=b+a.
  • Add whole numbers.
    1. Step 1. Write the numbers so each place value lines up vertically.
    2. Step 2. Add the digits in each place value. Work from right to left starting with the ones place. If a sum in a place value is more than 9, carry to the next place value.
    3. Step 3. Continue adding each place value from right to left, adding each place value and carrying if needed.

Practice Makes Perfect

Use Addition Notation

In the following exercises, translate the following from math expressions to words.

Exercise 31

5+25+2

Solution

five plus two; the sum of 5 and 2.

Exercise 32

6+36+3

Exercise 33

13+1813+18

Solution

thirteen plus eighteen; the sum of 13 and 18.

Exercise 34

15+1615+16

Exercise 35

214+642214+642

Solution

two hundred fourteen plus six hundred forty-two; the sum of 214 and 642

Exercise 36

438+113438+113

Model Addition of Whole Numbers

In the following exercises, model the addition.

Exercise 37

2+42+4

Solution


No Alt Text

2+4=62+4=6

Exercise 38

5+35+3

Exercise 39

8+48+4

Solution


No Alt Text

8+4=128+4=12

Exercise 40

5+95+9

Exercise 41

14+7514+75

Solution


No Alt Text

14+75=8914+75=89

Exercise 42

15+6315+63

Exercise 43

16+2516+25

Solution


No Alt Text

16+25=4116+25=41

Exercise 44

14+2714+27

Add Whole Numbers

In the following exercises, fill in the missing values in each chart.

Exercise 46

An image of a table with 11 columns and 11 rows. The cells in the first row and first column are shaded darker than the other cells. The first column has the values “+; 0; 1; 2; 3; 4; 5; 6; 7; 8; 9”. The second column has the values “0; 0; 1; 2; null; 4; 5; null; 7; 8; null”. The third column has the values “1; 1; 2; null; 4; 5; 6; null; 8; 9; null”. The fourth column has the values “2; 2; 3; 4; null; 6; null; 8; null; 10; 11”. The fifth column has the values “3; 3; null; null; 6; 7; 8; 9; 10; null; 12”. The sixth column has the values “4; 4; 5; 6; null; null; 9; null; null; 12; 13”. The seventh column has the values “5; null; 6; 7; null; null; null; null; 12; null; null”. The eighth column has the values “6; 6; null; null; 9; 10; 11; 12; null; 14; null”. The ninth column has the values “7; null; 8; 9; null; 11; 12; 13; null; null; 16”. The tenth column has the values “8; 8; null; 10; 11; null; 13; null; 15; 16; null”. The eleventh column has the values “9; 9; 10; null; null; 13; null; 15; 16; 17; null”.

Exercise 48

An image of a table with 8 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or column are all null. The first row has the values “+; 6; 7; 8; 9”. The first column has the values “+; 3; 4; 5; 6; 7; 8; 9”.

Exercise 50

An image of a table with 5 columns and 5 rows. The cells in the first row and first column are shaded darker than the other cells. The cells not in the first row or first column are all null. The first row has the values “+; 6; 7; 8; 9”. The first column has the values “+; 6; 7; 8; 9”.

In the following exercises, add.

Exercise 51

  1. 0+130+13
  2. 13+013+0
Solution
  1. 13
  2. 13

Exercise 52

  1. 0+5,2800+5,280
  2. 5,280+05,280+0

Exercise 53

  1. 8+38+3
  2. 3+83+8
Solution
  1. 1111
  2. 1111

Exercise 54

  1. 7+57+5
  2. 5+75+7

Exercise 55

Exercise 56

37+2237+22

Exercise 57

Exercise 58

43+5343+53

Exercise 59

Exercise 60

38+1738+17

Exercise 61

64+7864+78

Solution

142142

Exercise 62

92+3992+39

Exercise 63

168+325168+325

Solution

493493

Exercise 64

247+149247+149

Exercise 65

584+277584+277

Solution

861861

Exercise 66

175+648175+648

Exercise 67

832+199832+199

Solution

1,0311,031

Exercise 68

775+369775+369

Exercise 69

6,358+4926,358+492

Solution

6,8506,850

Exercise 70

9,184+5789,184+578

Exercise 71

3,740+18,5933,740+18,593

Solution

22,33322,333

Exercise 72

6,118+15,9906,118+15,990

Exercise 73

485,012+619,848485,012+619,848

Solution

1,104,8601,104,860

Exercise 74

368,911+857,289368,911+857,289

Exercise 75

24,731+592+3,86824,731+592+3,868

Solution

29,19129,191

Exercise 76

28,925+817+4,59328,925+817+4,593

Exercise 77

8,015+76,946+16,5708,015+76,946+16,570

Solution

101,531101,531

Exercise 78

6,291+54,107+28,6356,291+54,107+28,635

Translate Word Phrases to Math Notation

In the following exercises, translate each phrase into math notation and then simplify.

Exercise 79

the sum of 1313 and 1818

Solution

13+18=3113+18=31

Exercise 80

the sum of 1212 and 1919

Exercise 81

the sum of 9090 and 6565

Solution

90+65=15590+65=155

Exercise 82

the sum of 7070 and 3838

Exercise 83

3333 increased by 4949

Solution

33+49=8233+49=82

Exercise 84

6868 increased by 2525

Exercise 85

250250 more than 599599

Solution

250+599=849250+599=849

Exercise 86

115115 more than 286286

Exercise 87

the total of 628628 and 7777

Solution

628+77=705628+77=705

Exercise 88

the total of 593593 and 7979

Exercise 89

1,4821,482 added to 915915

Solution

915+1,482=2,397915+1,482=2,397

Exercise 90

2,7192,719 added to 682682

Add Whole Numbers in Applications

In the following exercises, solve the problem.

Exercise 91

Home remodeling Sophia remodeled her kitchen and bought a new range, microwave, and dishwasher. The range cost $1,100,$1,100, the microwave cost $250,$250, and the dishwasher cost $525.$525. What was the total cost of these three appliances?

Solution

The total cost was $1,875.

Exercise 92

Sports equipment Aiden bought a baseball bat, helmet, and glove. The bat cost $299,$299, the helmet cost $35,$35, and the glove cost $68.$68. What was the total cost of Aiden’s sports equipment?

Exercise 93

Bike riding Ethan rode his bike 1414 miles on Monday, 1919 miles on Tuesday, 1212 miles on Wednesday, 2525 miles on Friday, and 6868 miles on Saturday. What was the total number of miles Ethan rode?

Solution

Ethan rode 138 miles.

Exercise 94

Business Chloe has a flower shop. Last week she made 1919 floral arrangements on Monday, 1212 on Tuesday, 2323 on Wednesday, 2929 on Thursday, and 4444 on Friday. What was the total number of floral arrangements Chloe made?

Exercise 95

Apartment size Jackson lives in a 77 room apartment. The number of square feet in each room is 238,120,156,196,100,132,238,120,156,196,100,132, and 225.225. What is the total number of square feet in all 77 rooms?

Solution

The total square footage in the rooms is 1,167 square feet.

Exercise 96

Weight Seven men rented a fishing boat. The weights of the men were 175,192,148,169,205,181,175,192,148,169,205,181, and 225225 pounds. What was the total weight of the seven men?

Exercise 97

Salary Last year Natalie’s salary was $82,572.$82,572. Two years ago, her salary was $79,316,$79,316, and three years ago it was $75,298.$75,298. What is the total amount of Natalie’s salary for the past three years?

Solution

Natalie’s total salary is $237,186.

Exercise 98

Home sales Emma is a realtor. Last month, she sold three houses. The selling prices of the houses were $292,540,$505,875,$292,540,$505,875, and $423,699.$423,699. What was the total of the three selling prices?

In the following exercises, find the perimeter of each figure.

Exercise 99

An image of a triangle with side lengths of 14 inches, 12 inches, and 18 inches.
Solution

The perimeter of the figure is 44 inches.

Exercise 100

An image of a right triangle with base of 12 centimeters, height of 5 centimeters, and diagonal hypotenuse of 13 centimeters.

Exercise 101

A rectangle 21 meters wide and 7 meters tall.
Solution

The perimeter of the figure is 56 meters.

Exercise 102

A rectangle 19 feet wide and and 14 feet tall.

Exercise 103

A trapezoid with horizontal top length of 19 yards, the side lengths are 18 yards and are diagonal, and the horizontal bottom length is 16 yards.
Solution

The perimeter of the figure is 71 yards.

Exercise 104

A trapezoid with horizontal top length of 24 meters, the side lengths are 17 meters and are diagonal, and the horizontal bottom length is 29 meters.

Exercise 105

This is a rectangle-like image with six sides. Starting from the top left of the figure, the first line runs right for 24 feet. From the end of this line, the second line runs down for 7 feet. Then the third line runs left from this point for 19 feet. The fourth line runs up 3 feet. The fifth line runs left for 5 feet. The sixth line runs up for 4 feet, connecting it at a corner with start of the first line.
Solution

The perimeter of the figure is 62 feet.

Exercise 106

This is an image with 6 straight sides. Starting from the top left of the figure, the first line runs right for 25 inches. From the end of this line, the second line runs down for 10 inches. Then the third line runs left from this point for 14 inches. The fourth line runs up 7 inches. The fifth line runs left for 11 inches. The sixth line runs up, connecting it at a corner with start of the first line.

Everyday Math

Exercise 107

Calories Paulette had a grilled chicken salad, ranch dressing, and a 16-ounce16-ounce drink for lunch. On the restaurant’s nutrition chart, she saw that each item had the following number of calories:

Grilled chicken salad – 320320 calories
Ranch dressing – 170170 calories
16-ounce16-ounce drink – 150150 calories

What was the total number of calories of Paulette’s lunch?

Solution

The total number of calories was 640.

Exercise 108

Calories Fred had a grilled chicken sandwich, a small order of fries, and a 12-oz12-oz chocolate shake for dinner. The restaurant’s nutrition chart lists the following calories for each item:

Grilled chicken sandwich – 420420 calories
Small fries – 230230 calories
12-oz12-oz chocolate shake – 580580 calories

What was the total number of calories of Fred’s dinner?

Exercise 109

Test scores A students needs a total of 400400 points on five tests to pass a course. The student scored 82,91,75,88,and70.82,91,75,88,and70. Did the student pass the course?

Solution

Yes, he scored 406 points.

Exercise 110

Elevators The maximum weight capacity of an elevator is 11501150 pounds. Six men are in the elevator. Their weights are 210,145,183,230,159,and164210,145,183,230,159,and164 pounds. Is the total weight below the elevators’ maximum capacity?

Writing Exercises

Exercise 111

How confident do you feel about your knowledge of the addition facts? If you are not fully confident, what will you do to improve your skills?

Solution

Answers will vary.

Exercise 112

How have you used models to help you learn the addition facts?

Self Check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

After reviewing this checklist, what will you do to become confident for all objectives?

Glossary

sum:
The sum is the result of adding two or more numbers.

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