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1.2E: Exercises

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Practice Makes Perfect

Use Place Value with Whole Numbers

In the following exercises, find the place value of each digit in the given numbers.

Exercise 1.2E.34

51,493

  1. 1
  2. 4
  3. 9
  4. 5
  5. 3
Answer
  1. thousands
  2. hundreds
  3. tens
  4. ten thousands
  5. ones
Exercise 1.2E.35

87,210

  1. 2
  2. 8
  3. 0
  4. 7
  5. 1
Exercise 1.2E.36

164,285

  1. 5
  2. 6
  3. 1
  4. 8
  5. 2
Answer
  1. ones
  2. ten thousands
  3. hundred thousands
  4. tens
  5. hundreds
Exercise 1.2E.37

395,076

  1. 5
  2. 3
  3. 7
  4. 0
  5. 9
Exercise 1.2E.38

93,285,170

  1. 9
  2. 8
  3. 7
  4. 5
  5. 3
Answer
  1. ten millions
  2. ten thousands
  3. tens
  4. thousands
  5. millions
Exercise 1.2E.39

36,084,215

  1. 8
  2. 6
  3. 5
  4. 4
  5. 3
Exercise 1.2E.40

7,284,915,860,132

  1. 7
  2. 4
  3. 5
  4. 3
  5. 0
Answer
  1. trillions
  2. billions
  3. millions
  4. tens
  5. thousands
Exercise 1.2E.41

2,850,361,159,433

  1. 9
  2. 8
  3. 6
  4. 4
  5. 2

In the following exercises, name each number using words.

Exercise 1.2E.42

1,078

Answer

one thousand, seventy-eight

Exercise 1.2E.43

5,902

Exercise 1.2E.44

364,510

Answer

three hundred sixty-four thousand, five hundred ten

Exercise 1.2E.45

146,023

Exercise 1.2E.46

5,846,103

Answer

five million, eight hundred forty-six thousand, one hundred three

Exercise 1.2E.47

1,458,398

Exercise 1.2E.48

37,889,005

Answer

thirty-seven million, eight hundred eighty-nine thousand, five

Exercise 1.2E.49

62,008,465

In the following exercises, write each number as a whole number using digits.

Exercise 1.2E.50

four hundred twelve

Answer

412

Exercise 1.2E.51

two hundred fifty-three

Exercise 1.2E.52

thirty-five thousand, nine hundred seventy-five

Answer

35,975

Exercise 1.2E.53

sixty-one thousand, four hundred fifteen

Exercise 1.2E.54

eleven million, forty-four thousand, one hundred sixty-seven

Answer

11,044,167

Exercise 1.2E.55

eighteen million, one hundred two thousand, seven hundred eighty-three

Exercise 1.2E.56

three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen

Answer

3,226,512,017

Exercise 1.2E.57

eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six

In the following, round to the indicated place value.

Exercise 1.2E.58

Round to the nearest ten.

  1. 386
  2. 2,931
Answer
  1. 390
  2. 2,930
Exercise 1.2E.59

Round to the nearest ten.

  1. 792
  2. 5,647
Exercise 1.2E.60

Round to the nearest hundred.

  1. 13,748
  2. 391,794
Answer
  1. 13,700
  2. 391,800
Exercise 1.2E.61

Round to the nearest hundred.

  1. 28,166
  2. 481,628
Exercise 1.2E.62

Round to the nearest ten.

  1. 1,492
  2. 1,497
Answer
  1. 1,490
  2. 1,500
Exercise 1.2E.63

Round to the nearest ten.

  1. 2,791
  2. 2,795
Exercise 1.2E.64

Round to the nearest hundred.

  1. 63,994
  2. 63,940
Answer
  1. 64,000
  2. 63,900
Exercise 1.2E.65

Round to the nearest hundred.

  1. 49,584
  2. 49,548

In the following exercises, round each number to the nearest ⓐ hundred, ⓑ thousand, ⓒ ten thousand.

Exercise 1.2E.66

392,546

Answer
  1. 392,500
  2. 393,000
  3. 390,000
Exercise 1.2E.67

619,348

Exercise 1.2E.68

2,586,991

Answer
  1. 2,587,000
  2. 2,587,000
  3. 2,590,000
Exercise 1.2E.69

4,287,965

Identify Multiples and Factors

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.

Exercise 1.2E.70

84

Answer

divisible by 2, 3, and 6

Exercise 1.2E.71

9,696

Exercise 1.2E.72

75

Answer

divisible by 3 and 5

Exercise 1.2E.73

78

Exercise 1.2E.74

900

Answer

divisible by 2, 3, 5, 6, and 10

Exercise 1.2E.75

800

Exercise 1.2E.76

986

Answer

divisible by 2

Exercise 1.2E.77

942

Exercise 1.2E.78

350

Answer

divisible by 2, 5, and 10

Exercise 1.2E.79

550

Exercise 1.2E.80

22,335

Answer

divisible by 3 and 5

Exercise 1.2E.81

39,075

Find Prime Factorizations and Least Common Multiples

In the following exercises, find the prime factorization.

Exercise 1.2E.82

86

Answer

243

Exercise 1.2E.83

78

Exercise 1.2E.84

132

Answer

22311

Exercise 1.2E.85

455

Exercise 1.2E.86

693

Answer

33711

Exercise 1.2E.87

400

Exercise 1.2E.88

432

Answer

2222333

Exercise 1.2E.89

627

Exercise 1.2E.90

2,160

Answer

22223335

Exercise 1.2E.91

2,520

​​​​​​In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.

Exercise 1.2E.92

8, 12

Answer

24

Exercise 1.2E.93

4, 3

Exercise 1.2E.94

12, 16

Answer

48

Exercise 1.2E.95

30, 40

Exercise 1.2E.96

20, 30

Answer

60

Exercise 1.2E.97

44, 55

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.

Exercise 1.2E.98

8, 12

Answer

24

Exercise 1.2E.99

12, 16

Exercise 1.2E.100

28, 40

Answer

280

Exercise 1.2E.101

84, 90

Exercise 1.2E.102

55, 88

Answer

440

Exercise 1.2E.103

60, 72

Everyday Math

Exercise 1.2E.104

Writing a Check Jorge bought a car for $24,493. He paid for the car with a check. Write the purchase price in words.

Answer

twenty-four thousand, four hundred ninety-three dollars

Exercise 1.2E.105

Writing a Check Marissa’s kitchen remodeling cost $18,549. She wrote a check to the contractor. Write the amount paid in words.

Exercise 1.2E.106

Buying a Car Jorge bought a car for $24,493. Round the price to the nearest

  1. ten
  2. hundred
  3. thousand; and
  4. ten-thousand.
Answer
  1. $24,490
  2. $24,500
  3. $24,000
  4. $20,000
Exercise 1.2E.107

Remodeling a Kitchen Marissa’s kitchen remodeling cost $18,549, Round the cost to the nearest

  1. ten
  2. hundred
  3. thousand and
  4. ten-thousand.
Exercise 1.2E.108

Population The population of China was 1,339,724,852 on November 1, 2010. Round the population to the nearest

  1. billion
  2. hundred-million; and
  3. million.
Answer
  1. 1,000,000,000
  2. 1,300,000,000
  3. 1,340,000,000
Exercise 1.2E.109

Astronomy The average distance between Earth and the sun is 149,597,888 kilometers. Round the distance to the nearest

  1. hundred-million
  2. ten-million; and
  3. million.
Exercise 1.2E.110

Grocery Shopping Hot dogs are sold in packages of 10, but hot dog buns come in packs of eight. What is the smallest number that makes the hot dogs and buns come out even?

Answer

40

Exercise 1.2E.111

Grocery Shopping Paper plates are sold in packages of 12 and party cups come in packs of eight. What is the smallest number that makes the plates and cups come out even?

Writing Exercises

Exercise 1.2E.112

Give an everyday example where it helps to round numbers.

Exercise 1.2E.113

If a number is divisible by 2 and by 3 why is it also divisible by 6?

Exercise 1.2E.114

What is the difference between prime numbers and composite numbers?

Answer

Answers may vary.

Exercise 1.2E.115

Explain in your own words how to find the prime factorization of a composite number, using any method you prefer.

Self Check

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

A table with four columns and four rows is shown. The columns are titled “I can …”, “Confidently”, “With some help”, and “No – I don’t get it!”. The first column has three rows of text that read “use place value with whole numbers”, “identify multiples and apply divisibility rules” and “find prime factorization and least common multiples”. All other spaces on the table are blank.

ⓑ If most of your checks were:

…confidently. Congratulations! You have achieved the objectives in this section. Reflect on the study skills you used so that you can continue to use them. What did you do to become confident of your ability to do these things? Be specific.

…with some help. This must be addressed quickly because topics you do not master become potholes in your road to success. In math, every topic builds upon previous work. It is important to make sure you have a strong foundation before you move on. Who can you ask for help? Your fellow classmates and instructor are good resources. Is there a place on campus where math tutors are available? Can your study skills be improved?

…no—I don’t get it! This is a warning sign and you must not ignore it. You should get help right away or you will quickly be overwhelmed. See your instructor as soon as you can to discuss your situation. Together you can come up with a plan to get you the help you need.


This page titled 1.2E: Exercises is shared under a not declared license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.

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