Back to Elementary Algebra 2e

1.1 Introduction to Whole Numbers

Place value in whole numbers, divisibility tests for spotting multiples, and prime factorizations used to build least common multiples.

Elementary Algebra 2e, 1.1 Introduction to Whole Numbers

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64 exercises

1.1 Exercise 2

For the number 27,493,615, find the place value of each digit:

ⓐ 2 ⓑ 1 ⓒ 4 ⓓ 7 ⓔ 5

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1.1 Exercise 3

For the number 519,711,641,328, find the place value of each digit:

ⓐ 9 ⓑ 4 ⓒ 2 ⓓ 6 ⓔ 7

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1.1 Exercise 5

Name the number 9,258,137,904,0619 , 258 , 137 , 904 , 061 using words.

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1.1 Exercise 6

Name the number 17,864,325,619,00417 , 864 , 325 , 619 , 004 using words.

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1.1 Exercise 8

Write the number two billion, four hundred sixty-six million, seven hundred fourteen thousand, fifty-one as a whole number using digits.

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1.1 Exercise 9

Write the number eleven billion, nine hundred twenty-one million, eight hundred thirty thousand, one hundred six as a whole number using digits.

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1.1 Exercise 11

Round to the nearest hundred: 17,852.17,852 .

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1.1 Exercise 12

Round to the nearest hundred: 468,751.468,751 .

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1.1 Exercise 14

Round 206,981 to the nearest: ⓐ hundred ⓑ thousand ⓒ ten thousand.

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1.1 Exercise 15

Round 784,951 to the nearest: ⓐ hundred ⓑ thousand ⓒ ten thousand.

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1.1 Exercise 16

Is 5,625 divisible by 2? By 3? By 5? By 6? By 10?

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1.1 Exercise 17

Determine whether 4,962 is divisible by 2, by 3, by 5, by 6, and by 10.

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1.1 Exercise 18

Determine whether 3,765 is divisible by 2, by 3, by 5, by 6, and by 10.

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1.1 Exercise 20

Find the prime factorization of 80.

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1.1 Exercise 21

Find the prime factorization of 60.

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1.1 Exercise 23

Find the prime factorization of 126.

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1.1 Exercise 24

Find the prime factorization of 294.

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1.1 Exercise 26

Find the least common multiple by listing multiples: 9 and 12.

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1.1 Exercise 27

Find the least common multiple by listing multiples: 18 and 24.

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1.1 Exercise 29

Find the LCM using the prime factors method: 9 and 12.

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1.1 Exercise 30

Find the LCM using the prime factors method: 18 and 24.

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1.1 Exercise 32

Find the LCM using the prime factors method: 21 and 28.

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1.1 Exercise 33

Find the LCM using the prime factors method: 24 and 32.

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1.1 Exercise 34

Find the place value of each digit in the given numbers.

51,493 ⓐ 1, ⓑ 4, ⓒ 9, ⓓ 5, ⓔ 3

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1.1 Exercise 36

Find the place value of each digit in the given numbers.

164,285 ⓐ 5, ⓑ 6, ⓒ 1, ⓓ 8, ⓔ 2

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1.1 Exercise 38

Find the place value of each digit in the given numbers.

93,285,170 ⓐ 9 ⓑ 8 ⓒ 7 ⓓ 5 ⓔ 3

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1.1 Exercise 40

Find the place value of each digit in the given numbers.

7,284,915,860,132 ⓐ 7 ⓑ 4 ⓒ 5 ⓓ 3 ⓔ 0

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1.1 Exercise 42

Name each number using words.

1,078

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1.1 Exercise 44

Name each number using words.

364,510

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1.1 Exercise 46

Name each number using words.

5,846,103

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1.1 Exercise 48

Name each number using words.

37,889,005

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1.1 Exercise 50

Write each number as a whole number using digits.

four hundred twelve

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1.1 Exercise 52

Write each number as a whole number using digits.

thirty-five thousand, nine hundred seventy-five

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1.1 Exercise 54

Write each number as a whole number using digits.

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

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1.1 Exercise 56

Write each number as a whole number using digits.

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

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1.1 Exercise 58

In the following, round to the indicated place value.

Round to the nearest ten.

ⓐ 386 ⓑ 2,931

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1.1 Exercise 60

In the following, round to the indicated place value.

Round to the nearest hundred.

ⓐ 13,748 ⓑ 391,794

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1.1 Exercise 62

In the following, round to the indicated place value.

Round to the nearest ten.

ⓐ 1,492 ⓑ 1,497

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1.1 Exercise 64

In the following, round to the indicated place value.

Round to the nearest hundred.

ⓐ 63,994 ⓑ 63,940

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1.1 Exercise 66

Round each number to the nearest ⓐ hundred, ⓑ thousand, ⓒ ten thousand.

392,546

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1.1 Exercise 68

Round each number to the nearest ⓐ hundred, ⓑ thousand, ⓒ ten thousand.

2,586,991

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1.1 Exercise 70

Use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.

84

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1.1 Exercise 72

Use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.

75

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1.1 Exercise 74

Use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.

900

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1.1 Exercise 76

Use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.

986

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1.1 Exercise 78

Use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.

350

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1.1 Exercise 80

Use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.

22,335

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1.1 Exercise 82

Find the prime factorization.

86

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1.1 Exercise 84

Find the prime factorization.

132

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1.1 Exercise 86

Find the prime factorization.

693

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1.1 Exercise 88

Find the prime factorization.

432

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1.1 Exercise 90

Find the prime factorization.

2,160

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1.1 Exercise 92

Find the least common multiple of the each pair of numbers using the multiples method.

8, 12

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1.1 Exercise 94

Find the least common multiple of the each pair of numbers using the multiples method.

12, 16

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1.1 Exercise 96

Find the least common multiple of the each pair of numbers using the multiples method.

20, 30

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1.1 Exercise 98

Find the least common multiple of each pair of numbers using the prime factors method.

8, 12

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1.1 Exercise 100

Find the least common multiple of each pair of numbers using the prime factors method.

28, 40

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1.1 Exercise 102

Find the least common multiple of each pair of numbers using the prime factors method.

55, 88

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1.1 Exercise 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.

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1.1 Exercise 106

Buying a Car Jorge bought a car for $24,493. Round the price to the nearest ⓐ ten ⓑ hundred ⓒ thousand; and ⓓ ten-thousand.

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1.1 Exercise 108

Population The population of China was 1,339,724,852 on November 1, 2010. Round the population to the nearest ⓐ billion ⓑ hundred-million; and ⓒ million.

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1.1 Exercise 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?

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1.1 Exercise 112

Give an everyday example where it helps to round numbers.

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1.1 Exercise 114

What is the difference between prime numbers and composite numbers?

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Adapted from Elementary Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Elementary Algebra 2e. Imported at revision 77a933c.