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 \(\PageIndex{34}\)
51,493
 1
 4
 9
 5
 3
 Answer

 thousands
 hundreds
 tens
 ten thousands
 ones
Exercise \(\PageIndex{35}\)
87,210
 2
 8
 0
 7
 1
Exercise \(\PageIndex{36}\)
164,285
 5
 6
 1
 8
 2
 Answer

 ones
 ten thousands
 hundred thousands
 tens
 hundreds
Exercise \(\PageIndex{37}\)
395,076
 5
 3
 7
 0
 9
Exercise \(\PageIndex{38}\)
93,285,170
 9
 8
 7
 5
 3
 Answer

 ten millions
 ten thousands
 tens
 thousands
 millions
Exercise \(\PageIndex{39}\)
36,084,215
 8
 6
 5
 4
 3
Exercise \(\PageIndex{40}\)
7,284,915,860,132
 7
 4
 5
 3
 0
 Answer

 trillions
 billions
 millions
 tens
 thousands
Exercise \(\PageIndex{41}\)
2,850,361,159,433
 9
 8
 6
 4
 2
In the following exercises, name each number using words.
Exercise \(\PageIndex{42}\)
1,078
 Answer

one thousand, seventyeight
Exercise \(\PageIndex{43}\)
5,902
Exercise \(\PageIndex{44}\)
364,510
 Answer

three hundred sixtyfour thousand, five hundred ten
Exercise \(\PageIndex{45}\)
146,023
Exercise \(\PageIndex{46}\)
5,846,103
 Answer

five million, eight hundred fortysix thousand, one hundred three
Exercise \(\PageIndex{47}\)
1,458,398
Exercise \(\PageIndex{48}\)
37,889,005
 Answer

thirtyseven million, eight hundred eightynine thousand, five
Exercise \(\PageIndex{49}\)
62,008,465
In the following exercises, write each number as a whole number using digits.
Exercise \(\PageIndex{50}\)
four hundred twelve
 Answer

412
Exercise \(\PageIndex{51}\)
two hundred fiftythree
Exercise \(\PageIndex{52}\)
thirtyfive thousand, nine hundred seventyfive
 Answer

35,975
Exercise \(\PageIndex{53}\)
sixtyone thousand, four hundred fifteen
Exercise \(\PageIndex{54}\)
eleven million, fortyfour thousand, one hundred sixtyseven
 Answer

11,044,167
Exercise \(\PageIndex{55}\)
eighteen million, one hundred two thousand, seven hundred eightythree
Exercise \(\PageIndex{56}\)
three billion, two hundred twentysix million, five hundred twelve thousand, seventeen
 Answer

3,226,512,017
Exercise \(\PageIndex{57}\)
eleven billion, four hundred seventyone million, thirtysix thousand, one hundred six
In the following, round to the indicated place value.
Exercise \(\PageIndex{58}\)
Round to the nearest ten.
 386
 2,931
 Answer

 390
 2,930
Exercise \(\PageIndex{59}\)
Round to the nearest ten.
 792
 5,647
Exercise \(\PageIndex{60}\)
Round to the nearest hundred.
 13,748
 391,794
 Answer

 13,700
 391,800
Exercise \(\PageIndex{61}\)
Round to the nearest hundred.
 28,166
 481,628
Exercise \(\PageIndex{62}\)
Round to the nearest ten.
 1,492
 1,497
 Answer

 1,490
 1,500
Exercise \(\PageIndex{63}\)
Round to the nearest ten.
 2,791
 2,795
Exercise \(\PageIndex{64}\)
Round to the nearest hundred.
 63,994
 63,940
 Answer

 64,000
 63,900
Exercise \(\PageIndex{65}\)
Round to the nearest hundred.
 49,584
 49,548
In the following exercises, round each number to the nearest ⓐ hundred, ⓑ thousand, ⓒ ten thousand.
Exercise \(\PageIndex{66}\)
392,546
 Answer

 392,500
 393,000
 390,000
Exercise \(\PageIndex{67}\)
619,348
Exercise \(\PageIndex{68}\)
2,586,991
 Answer

 2,587,000
 2,587,000
 2,590,000
Exercise \(\PageIndex{69}\)
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 \(\PageIndex{70}\)
84
 Answer

divisible by 2, 3, and 6
Exercise \(\PageIndex{71}\)
9,696
Exercise \(\PageIndex{72}\)
75
 Answer

divisible by 3 and 5
Exercise \(\PageIndex{73}\)
78
Exercise \(\PageIndex{74}\)
900
 Answer

divisible by 2, 3, 5, 6, and 10
Exercise \(\PageIndex{75}\)
800
Exercise \(\PageIndex{76}\)
986
 Answer

divisible by 2
Exercise \(\PageIndex{77}\)
942
Exercise \(\PageIndex{78}\)
350
 Answer

divisible by 2, 5, and 10
Exercise \(\PageIndex{79}\)
550
Exercise \(\PageIndex{80}\)
22,335
 Answer

divisible by 3 and 5
Exercise \(\PageIndex{81}\)
39,075
Find Prime Factorizations and Least Common Multiples
In the following exercises, find the prime factorization.
Exercise \(\PageIndex{82}\)
86
 Answer

\(2\cdot 43\)
Exercise \(\PageIndex{83}\)
78
Exercise \(\PageIndex{84}\)
132
 Answer

\(2\cdot 2\cdot 3\cdot 11\)
Exercise \(\PageIndex{85}\)
455
Exercise \(\PageIndex{86}\)
693
 Answer

\(3\cdot 3\cdot 7\cdot 11\)
Exercise \(\PageIndex{87}\)
400
Exercise \(\PageIndex{88}\)
432
 Answer

\(2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\cdot 3\)
Exercise \(\PageIndex{89}\)
627
Exercise \(\PageIndex{90}\)
2,160
 Answer

\(2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\cdot 3\cdot 5\)
Exercise \(\PageIndex{91}\)
2,520
In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
Exercise \(\PageIndex{92}\)
8, 12
 Answer

24
Exercise \(\PageIndex{93}\)
4, 3
Exercise \(\PageIndex{94}\)
12, 16
 Answer

48
Exercise \(\PageIndex{95}\)
30, 40
Exercise \(\PageIndex{96}\)
20, 30
 Answer

60
Exercise \(\PageIndex{97}\)
44, 55
In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
Exercise \(\PageIndex{98}\)
8, 12
 Answer

24
Exercise \(\PageIndex{99}\)
12, 16
Exercise \(\PageIndex{100}\)
28, 40
 Answer

280
Exercise \(\PageIndex{101}\)
84, 90
Exercise \(\PageIndex{102}\)
55, 88
 Answer

440
Exercise \(\PageIndex{103}\)
60, 72
Self Check
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
ⓑ 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.