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Key concepts

  • Addition Notation To describe addition, we can use symbols and words.
    Operation Notation Expression Read as Result
    Addition + 3 + 4 three plus four the sum of 3 and 4
  • Identity Property of Addition
    • The sum of any number a and 0 is the number. a + 0 = a 0 + a = a
  • Commutative Property of Addition
    • Changing the order of the addends a and b does not change their sum. a + b = b + a .
  • Add whole numbers.
    1. Write the numbers so each place value lines up vertically.
    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. 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.

5 + 2

five plus two; the sum of 5 and 2.

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13 + 18

thirteen plus eighteen; the sum of 13 and 18.

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214 + 642

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

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Model Addition of Whole Numbers

In the following exercises, model the addition.

Add Whole Numbers

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

In the following exercises, add.

  1. 0 + 13
  2. 13 + 0
  1. 13
  2. 13
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  1. 0 + 5,280
  2. 5,280 + 0
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  1. 8 + 3
  2. 3 + 8
  1. 11
  2. 11
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485,012 + 619,848

1,104,860

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24,731 + 592 + 3,868

29,191

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8,015 + 76,946 + 16,570

101,531

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Translate Word Phrases to Math Notation

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

the sum of 13 and 18

13 + 18 = 31

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the sum of 90 and 65

90 + 65 = 155

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33 increased by 49

33 + 49 = 82

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250 more than 599

250 + 599 = 849

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the total of 628 and 77

628 + 77 = 705

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1,482 added to 915

915 + 1,482 = 2,397

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Add Whole Numbers in Applications

In the following exercises, solve the problem.

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

The total cost was $1,875.

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

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Bike riding Ethan rode his bike 14 miles on Monday, 19 miles on Tuesday, 12 miles on Wednesday, 25 miles on Friday, and 68 miles on Saturday. What was the total number of miles Ethan rode?

Ethan rode 138 miles.

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Business Chloe has a flower shop. Last week she made 19 floral arrangements on Monday, 12 on Tuesday, 23 on Wednesday, 29 on Thursday, and 44 on Friday. What was the total number of floral arrangements Chloe made?

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Apartment size Jackson lives in a 7 room apartment. The number of square feet in each room is 238 , 120 , 156 , 196 , 100 , 132 , and 225 . What is the total number of square feet in all 7 rooms?

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

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Weight Seven men rented a fishing boat. The weights of the men were 175 , 192 , 148 , 169 , 205 , 181 , and 225 pounds. What was the total weight of the seven men?

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

Natalie’s total salary is $237,186.

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

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

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

The perimeter of the figure is 44 inches.

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A rectangle 21 meters wide and 7 meters tall.

The perimeter of the figure is 56 meters.

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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.

The perimeter of the figure is 71 yards.

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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.

The perimeter of the figure is 62 feet.

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Everyday math

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

Grilled chicken salad – 320 calories
Ranch dressing – 170 calories
16-ounce drink – 150 calories

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

The total number of calories was 640.

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

Grilled chicken sandwich – 420 calories
Small fries – 230 calories
12-oz chocolate shake – 580 calories

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

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Test scores A students needs a total of 400 points on five tests to pass a course. The student scored 82 , 91 , 75 , 88 , and 70 . Did the student pass the course?

Yes, he scored 406 points.

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Elevators The maximum weight capacity of an elevator is 1150 pounds. Six men are in the elevator. Their weights are 210 , 145 , 183 , 230 , 159 , and 164 pounds. Is the total weight below the elevators’ maximum capacity?

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Writing exercises

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?

Answers will vary.

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

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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?

Questions & Answers

differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
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devaluation
Eliyee
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WARKISA
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Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
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Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
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what is the difference between economic growth and development
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Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
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Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
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Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
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In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
types of unemployment
Yomi Reply
What is the difference between perfect competition and monopolistic competition?
Mohammed
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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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