Problem Set 1: Whole Numbers
Practice Makes Perfect
Identify Counting Numbers and Whole Numbers In the following exercises, determine which of the following numbers are ⓐ counting numbers ⓑ whole numbers. [latex-display]0,\frac{2}{3},5,8.1,125[/latex-display]- 0, 5, 125
- 0, 5, 125
- 50, 221
- 0, 50, 221
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- 9
- 6
- 0
- 7
- 5
- thousands
- hundreds
- tens
- ten thousands
- hundred thousands
- 9
- 3
- 2
- 8
- 7
- 8
- 6
- 4
- 7
- 0
- hundred thousands
- millions
- thousands
- tens
- ten thousands
- 8
- 4
- 2
- 6
- 7
- [latex]386[/latex]
- [latex]2,931[/latex]
- 390
- 2,930
- [latex]792[/latex]
- [latex]5,647[/latex]
- 790
- 5,650
- [latex]13,748[/latex]
- [latex]391,794[/latex]
- 13,700
- 391,800
- [latex]28,166[/latex]
- [latex]481,628[/latex]
- 28,200
- 481,700
- [latex]1,492[/latex]
- [latex]1,497[/latex]
- 1,490
- 1,500
- [latex]2,391[/latex]
- [latex]2,795[/latex]
- 2,000
- 3,000
- [latex]63,994[/latex]
- [latex]63,949[/latex]
- [latex]64,000[/latex]
- [latex]63,900[/latex]
- [latex]163,584[/latex]
- [latex]163,246[/latex]
- 164,000
- 163,000
Everyday Math
Writing a Check Jorge bought a car for [latex]\text{$24,493}[/latex]. He paid for the car with a check. Write the purchase price in words. Twenty four thousand, four hundred ninety-three dollars Writing a Check Marissa’s kitchen remodeling cost [latex]\text{$18,549}[/latex]. She wrote a check to the contractor. Write the amount paid in words. Buying a Car Jorge bought a car for [latex]\text{$24,493}[/latex]. Round the price to the nearest:- ten dollars
- hundred dollars
- thousand dollars
- ten-thousand dollars
- $24,490
- $24,500
- $24,000
- $20,000
- ten dollars
- hundred dollars
- thousand dollars
- ten-thousand dollars
- billion people
- hundred-million people
- million people
- [latex]1,000,000,000[/latex]
- [latex]1,400,000,000[/latex]
- [latex]1,356,000,000[/latex]
- hundred-million kilometers
- ten-million kilometers
- million kilometers
Writing Exercises
In your own words, explain the difference between the counting numbers and the whole numbers. Answers may vary. The whole numbers are the counting numbers with the inclusion of zero. Give an example from your everyday life where it helps to round numbers.Self Check
1. After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
Practice Makes Perfect
Use Addition Notation In the following exercises, translate the following from math expressions to words. [latex-display]5+2[/latex-display] five plus two; the sum of 5 and 2. [latex-display]6+3[/latex-display] [latex-display]13+18[/latex-display] thirteen plus eighteen; the sum of 13 and 18. [latex-display]15+16[/latex-display] [latex-display]214+642[/latex-display] two hundred fourteen plus six hundred forty-two; the sum of 214 and 642 [latex-display]438+113[/latex-display] Model Addition of Whole Numbers In the following exercises, model the addition. [latex-display]2+4[/latex-display]
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- [latex]0+13[/latex]
- [latex]13+0[/latex]
- 13
- 13
- [latex]0+5,280[/latex]
- [latex]5,280+0[/latex]
- [latex]8+3[/latex]
- [latex]3+8[/latex]
- [latex]11[/latex]
- [latex]11[/latex]
- [latex]7+5[/latex]
- [latex]5+7[/latex]
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Everyday Math
Calories Paulette had a grilled chicken salad, ranch dressing, and a [latex]\text{16-ounce}[/latex] drink for lunch. On the restaurant’s nutrition chart, she saw that each item had the following number of calories: Grilled chicken salad – [latex]320[/latex] calories Ranch dressing – [latex]170[/latex] calories [latex]\text{16-ounce}[/latex] drink – [latex]150[/latex] calories What was the total number of calories of Paulette’s lunch? The total number of calories was 640. Calories Fred had a grilled chicken sandwich, a small order of fries, and a [latex]\text{12-oz}[/latex] chocolate shake for dinner. The restaurant’s nutrition chart lists the following calories for each item: Grilled chicken sandwich – [latex]420[/latex] calories Small fries – [latex]230[/latex] calories [latex]\text{12-oz}[/latex] chocolate shake – [latex]580[/latex] calories What was the total number of calories of Fred’s dinner? Test scores A students needs a total of [latex]400[/latex] points on five tests to pass a course. The student scored [latex]82,91,75,88,\text{and}70[/latex]. Did the student pass the course? Yes, he scored 406 points. Elevators The maximum weight capacity of an elevator is [latex]1150[/latex] pounds. Six men are in the elevator. Their weights are [latex]210,145,183,230,159,\text{and}164[/latex] pounds. Is the total weight below the elevators’ maximum capacity?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. How have you used models to help you learn the addition facts?Self Check
1. After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
Practice Makes Perfect
Use Subtraction Notation In the following exercises, translate from math notation to words. [latex-display]15 - 9[/latex-display] fifteen minus nine; the difference of fifteen and nine [latex-display]18 - 16[/latex-display] [latex-display]42 - 35[/latex-display] forty-two minus thirty-five; the difference of forty-two and thirty-five [latex-display]83 - 64[/latex-display] [latex-display]675 - 350[/latex-display] hundred seventy-five minus three hundred fifty; the difference of six hundred seventy-five and three hundred fifty [latex-display]790 - 525[/latex-display] Model Subtraction of Whole Numbers In the following exercises, model the subtraction. [latex-display]5 - 2[/latex-display]
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Everyday Math
Road trip Noah was driving from Philadelphia to Cincinnati, a distance of [latex]502[/latex] miles. He drove [latex]115[/latex] miles, stopped for gas, and then drove another [latex]230[/latex] miles before lunch. How many more miles did he have to travel? 157 miles Test Scores Sara needs [latex]350[/latex] points to pass her course. She scored [latex]75,50,70,\text{and}80[/latex] on her first four tests. How many more points does Sara need to pass the course?Writing Exercises
Explain how subtraction and addition are related. Answers may vary. How does knowing addition facts help you to subtract numbers?Self Check
1. After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
Practice Makes Perfect
Use Multiplication Notation In the following exercises, translate from math notation to words. [latex-display]4\times 7[/latex-display] four times seven; the product of four and seven [latex-display]8\times 6[/latex-display] [latex-display]5\cdot 12[/latex-display] five times twelve; the product of five and twelve [latex-display]3\cdot 9[/latex-display] [latex-display]\left(10\right)\left(25\right)[/latex-display] ten times twenty-five; the product of ten and twenty-five [latex-display]\left(20\right)\left(15\right)[/latex-display] [latex-display]42\left(33\right)[/latex-display] forty-two times thirty-three; the product of forty-two and thirty-three [latex-display]39\left(64\right)[/latex-display] Model Multiplication of Whole Numbers In the following exercises, model the multiplication. [latex-display]3\times 6[/latex-display]
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- [latex]7\cdot 6[/latex]
- [latex]6\cdot 7[/latex]
- 42
- 42
Everyday Math
Stock market Javier owns 300 shares of stock in one company. On Tuesday, the stock price rose [latex]\text{$}12[/latex] per share. How much money did Javier’s portfolio gain? Javier’s portfolio gained $3,600. Salary Carlton got a [latex]\text{$}200[/latex] raise in each paycheck. He gets paid 24 times a year. How much higher is his new annual salary?Writing Exercises
How confident do you feel about your knowledge of the multiplication facts? If you are not fully confident, what will you do to improve your skills? Answers will vary. How have you used models to help you learn the multiplication facts?Self Check
1. After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
Practice Makes Perfect
Use Division Notation In the following exercises, translate from math notation to words. [latex-display]54\div 9[/latex-display] fifty-four divided by nine; the quotient of fifty-four and nine [latex-display]\frac{56}{7}[/latex-display] [latex-display]\frac{32}{8}[/latex-display] thirty-two divided by eight; the quotient of thirty-two and eight [latex-display]6\overline{)42}[/latex-display] [latex-display]48\div 6[/latex-display] forty-eight divided by six; the quotient of forty-eight and six [latex-display]\frac{63}{9}[/latex-display] [latex-display]7\overline{)63}[/latex-display] sixty-three divided by seven; the quotient of sixty-three and seven [latex-display]72\div 8[/latex-display] Model Division of Whole Numbers In the following exercises, model the division. [latex-display]15\div 5[/latex-display]
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Writing Exercises
Explain how you use the multiplication facts to help with division. Answers may vary. Using multiplication facts can help you check your answers once you’ve finished division. Oswaldo divided [latex]300[/latex] by [latex]8[/latex] and said his answer was [latex]37[/latex] with a remainder of [latex]4[/latex]. How can you check to make sure he is correct?Everyday Math
Contact lenses Jenna puts in a new pair of contact lenses every [latex]14[/latex] days. How many pairs of contact lenses does she need for [latex]365[/latex] days? Jenna uses 26 pairs of contact lenses, but there is 1 day left over, so she needs 27 pairs for 365 days. Cat food One bag of cat food feeds Lara’s cat for [latex]25[/latex] days. How many bags of cat food does Lara need for [latex]365[/latex] days?Self Check
1. After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
Chapter Review Exercises
Introduction to Whole Numbers
Identify Counting Numbers and Whole Numbers In the following exercises, determine which of the following are (a) counting numbers (b) whole numbers. [latex-display]0,2,99[/latex-display]- 2, 99
- 0, 2, 99
- 4, 90
- 0, 4, 90
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- [latex]8[/latex]
- [latex]4[/latex]
- [latex]1[/latex]
- [latex]7[/latex]
- [latex]2[/latex]
- tens
- hundred thousands
- ones
- thousands
- ten thousands
- [latex]4[/latex]
- [latex]0[/latex]
- [latex]1[/latex]
- [latex]9[/latex]
- [latex]3[/latex]
Add Whole Numbers
Use Addition Notation In the following exercises, translate the following from math notation to words. [latex-display]4+3[/latex-display] four plus three; the sum of four and three [latex-display]25+18[/latex-display] [latex-display]571+629[/latex-display] five hundred seventy-one plus six hundred twenty-nine; the sum of five hundred seventy-one and six hundred twenty-nine [latex-display]10,085+3,492[/latex-display] Model Addition of Whole Numbers In the following exercises, model the addition. [latex-display]6+7[/latex-display]



- [latex]0+19[/latex] 2. [latex]19+0[/latex]
- [latex]7+6[/latex] 2. [latex]6+7[/latex]
- [latex]23+18[/latex] 2. [latex]18+23[/latex]


Subtract Whole Numbers
Use Subtraction Notation In the following exercises, translate the following from math notation to words. [latex-display]14 - 5[/latex-display] fourteen minus five; the difference of fourteen and five [latex-display]40 - 15[/latex-display] [latex-display]351 - 249[/latex-display] three hundred fifty-one minus two hundred forty-nine; the difference between three hundred fifty-one and two hundred forty-nine [latex-display]5,724 - 2,918[/latex-display] Model Subtraction of Whole Numbers In the following exercises, model the subtraction. [latex-display]18 - 4[/latex-display]
Multiply Whole Numbers
Use Multiplication Notation In the following exercises, translate from math notation to words. [latex-display]8\times 5[/latex-display] eight times five the product of eight and five [latex-display]6\cdot 14[/latex-display] [latex-display]\left(10\right)\left(95\right)[/latex-display] ten times ninety-five; the product of ten and ninety-five [latex-display]54\left(72\right)[/latex-display] Model Multiplication of Whole Numbers In the following exercises, model the multiplication. [latex-display]2\times 4[/latex-display]

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
- ⓐ 28
- ⓑ 28
Divide Whole Numbers
Use Division Notation Translate from math notation to words. [latex-display]54\div 9[/latex-display] fifty-four divided by nine; the quotient of fifty-four and nine [latex-display]42/7[/latex-display] [latex-display]\frac{72}{8}[/latex-display] seventy-two divided by eight; the quotient of seventy-two and eight [latex-display]6\overline{)48}[/latex-display] Model Division of Whole Numbers In the following exercises, model. [latex-display]8\div 2[/latex-display]
Chapter Practice Test
Determine which of the following numbers are- counting numbers
- whole numbers.
- 4, 87
- 0, 4, 8
- [latex]9[/latex]
- [latex]6[/latex]
- [latex]2[/latex]
- [latex]5[/latex]
- six hundred thirteen
- fifty-five thousand two hundred eight
- 613
- 55,208
Licenses & Attributions
CC licensed content, Specific attribution
- Prealgebra. Provided by: OpenStax License: CC BY: Attribution. License terms: Download for free at http://cnx.org/contents/[email protected].