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, seventy-eight
Exercise \(\PageIndex{43}\)
5,902
Exercise \(\PageIndex{44}\)
364,510
- Answer
-
three hundred sixty-four thousand, five hundred ten
Exercise \(\PageIndex{45}\)
146,023
Exercise \(\PageIndex{46}\)
5,846,103
- Answer
-
five million, eight hundred forty-six thousand, one hundred three
Exercise \(\PageIndex{47}\)
1,458,398
Exercise \(\PageIndex{48}\)
37,889,005
- Answer
-
thirty-seven million, eight hundred eighty-nine 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 fifty-three
Exercise \(\PageIndex{52}\)
thirty-five thousand, nine hundred seventy-five
- Answer
-
35,975
Exercise \(\PageIndex{53}\)
sixty-one thousand, four hundred fifteen
Exercise \(\PageIndex{54}\)
eleven million, forty-four thousand, one hundred sixty-seven
- Answer
-
11,044,167
Exercise \(\PageIndex{55}\)
eighteen million, one hundred two thousand, seven hundred eighty-three
Exercise \(\PageIndex{56}\)
three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen
- Answer
-
3,226,512,017
Exercise \(\PageIndex{57}\)
eleven billion, four hundred seventy-one million, thirty-six 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.