• Home
  • Textbooks
  • Elementary Algebra
  • Foundations

Elementary Algebra

Lynn Marecek

Chapter 1

Foundations - all with Video Answers

Educators

+ 1 more educators

Section 1

Introduction to Whole Numbers

01:19

Problem 1

In the following exercises, find the place value of each digit in the given numbers.
51,493 ? 1, ? 4, ? 9, ? 5, ? 3

Lynn Larson
Lynn Larson
Numerade Educator
01:25

Problem 2

In the following exercises, find the place value of each digit in the given numbers.
. 87,210 ? 2 ? 8 ? 0 ? 7 ? 1

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:31

Problem 3

In the following exercises, find the place value of each digit in the given numbers.
164,285 ? 5, ? 6, ? 1, ? 8, ? 2

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:33

Problem 4

In the following exercises, find the place value of each digit in the given numbers.
395,076 ? 5 ? 3 ? 7 ? 0 ? 9

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:42

Problem 5

In the following exercises, find the place value of each digit in the given numbers.
93,285,170 ? 9 ? 8 ? 7 ? 5 ?3

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:55

Problem 6

In the following exercises, find the place value of each digit in the given numbers.
36,084,215 ? 8 ? 6 ? 5 ? 4 ?3

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:10

Problem 7

In the following exercises, find the place value of each digit in the given numbers.
7,284,915,860,132 ? 7 ? 4 ? 5 ? 3 ? 0

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:05

Problem 8

In the following exercises, find the place value of each digit in the given numbers.
2,850,361,159,433
? 9
? 8
? 6
? 4
? 2

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:25

Problem 9

In the following exercises, name each number using words.
$$
1,078
$$

Karly Williams
Karly Williams
Numerade Educator
01:25

Problem 10

In the following exercises, name each number using words.
$$
5,902
$$

Karly Williams
Karly Williams
Numerade Educator
01:56

Problem 11

In the following exercises, name each number using words.
$$
364,510
$$

Karly Williams
Karly Williams
Numerade Educator
02:14

Problem 12

In the following exercises, name each number using words.
$$
146,023
$$

Karly Williams
Karly Williams
Numerade Educator
02:27

Problem 13

In the following exercises, name each number using words.
$$
5,846,103
$$

Karly Williams
Karly Williams
Numerade Educator
02:49

Problem 14

In the following exercises, name each number using words.
$$
1,458,398
$$

Karly Williams
Karly Williams
Numerade Educator
03:10

Problem 15

In the following exercises, name each number using words.
$$
37,889,005
$$

Karly Williams
Karly Williams
Numerade Educator
03:01

Problem 16

In the following exercises, name each number using words.
$$
62,008,465
$$

Karly Williams
Karly Williams
Numerade Educator
01:02

Problem 17

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

Karly Williams
Karly Williams
Numerade Educator
00:55

Problem 18

In the following exercises, write each number as a whole number using digits.
. two hundred fifty-three

Karly Williams
Karly Williams
Numerade Educator
01:45

Problem 19

In the following exercises, write each number as a whole number using digits.
thirty-five thousand, nine hundred seventy-five

Karly Williams
Karly Williams
Numerade Educator
01:23

Problem 20

In the following exercises, write each number as a whole number using digits.
sixty-one thousand, four hundred fifteen

Karly Williams
Karly Williams
Numerade Educator
01:24

Problem 21

In the following exercises, write each number as a whole number using digits.
eleven million, forty-four thousand, one hundred sixtyseven

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:01

Problem 22

In the following exercises, write each number as a whole number using digits.
eighteen million, one hundred two thousand, seven hundred eighty-three

Karly Williams
Karly Williams
Numerade Educator
02:16

Problem 23

In the following exercises, write each number as a whole number using digits.
three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen

Karly Williams
Karly Williams
Numerade Educator
02:17

Problem 24

In the following exercises, write each number as a whole number using digits.
eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six

Karly Williams
Karly Williams
Numerade Educator
01:06

Problem 25

In the following, round to the indicated place value.
Round to the nearest ten.
? 386 ? 2,931

Jennifer Stoner
Jennifer Stoner
Numerade Educator
01:54

Problem 26

In the following, round to the indicated place value.
Round to the nearest ten.
? 792 ? 5,647

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:46

Problem 27

In the following, round to the indicated place value.
Round to the nearest hundred.
? 13,748 ? 391,794

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:47

Problem 28

In the following, round to the indicated place value.
Round to the nearest hundred.
? 28,166 ? 481,628

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:13

Problem 29

In the following, round to the indicated place value.
Round to the nearest ten.
? 1,492 ? 1,497

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:31

Problem 30

In the following, round to the indicated place value.
Round to the nearest ten.
? 2,791 ? 2,795

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:57

Problem 31

In the following, round to the indicated place value.
Round to the nearest hundred.
? 63,994 ? 63,940

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:10

Problem 32

In the following, round to the indicated place value.
Round to the nearest hundred.
? 49,584 ? 49,548

Breanna Ollech
Breanna Ollech
Numerade Educator
01:54

Problem 33

In the following exercises, round each number to the nearest ? hundred, ? thousand, ? ten thousand.
392,546

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:53

Problem 34

In the following exercises, round each number to the nearest ? hundred, ? thousand, ? ten thousand.
619,348

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:08

Problem 35

In the following exercises, round each number to the nearest ? hundred, ? thousand, ? ten thousand.
2,586,991

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:01

Problem 36

In the following exercises, round each number to the nearest ? hundred, ? thousand, ? ten thousand.
4,287,965

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:29

Problem 37

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$84$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:27

Problem 38

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$9,696$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:21

Problem 39

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$75$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:13

Problem 40

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$78$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:16

Problem 41

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$900$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:07

Problem 42

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$800$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:11

Problem 43

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$986$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:19

Problem 44

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$942$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:02

Problem 45

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$350$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:06

Problem 46

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$550$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:17

Problem 47

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$22,335$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:18

Problem 48

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, 3, 5, 6, and 10.
$39,075$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:08

Problem 49

In the following exercises, find the prime factorization.
$86$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:03

Problem 50

In the following exercises, find the prime factorization.
$78$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:03

Problem 51

In the following exercises, find the prime factorization.
$132$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:02

Problem 52

In the following exercises, find the prime factorization.
$455 $

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:03

Problem 53

In the following exercises, find the prime factorization.
$693$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:23

Problem 54

In the following exercises, find the prime factorization.
$400$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:24

Problem 55

In the following exercises, find the prime factorization.
$432 $

Celine Ibrahim
Celine Ibrahim
Numerade Educator
00:50

Problem 56

In the following exercises, find the prime factorization.
$627 $

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:50

Problem 57

In the following exercises, find the prime factorization.
$2,160$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:36

Problem 58

In the following exercises, find the prime factorization.
$2,520$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:16

Problem 59

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$8, 12$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:05

Problem 60

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$4, 3$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:26

Problem 61

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$12, 16$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:08

Problem 62

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$30, 40 $

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:17

Problem 63

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$20, 30$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:07

Problem 64

In the following exercises, find the least common multiple of the each pair of numbers using the multiples method.
$44, 55$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:44

Problem 65

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$8, 12$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:47

Problem 66

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$12, 16$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:05

Problem 67

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$28, 40$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:33

Problem 68

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$84, 90$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:08

Problem 69

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$55, 88$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:24

Problem 70

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.
$60, 72$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:12

Problem 71

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

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:24

Problem 72

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

Karly Williams
Karly Williams
Numerade Educator
06:51

Problem 73

Jorge bought a car for $24,493. Round the price to the nearest?ten?hundred?thousand; and ? ten-thousand.

Gokul R  Nair
Gokul R Nair
Numerade Educator
08:14

Problem 74

Marissa’s kitchen remodeling cost $18,549, Round the cost to the nearest ? ten ? hundred ? thousand and ? ten-thousand.

Gokul R  Nair
Gokul R Nair
Numerade Educator
08:41

Problem 75

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

Gokul R  Nair
Gokul R Nair
Numerade Educator
05:45

Problem 76

The average distance between Earth and the sun is 149,597,888 kilometers. Round the distance to the nearest ? hundred-million ? tenmillion; and ? million.

Gokul R  Nair
Gokul R Nair
Numerade Educator
00:58

Problem 77

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?

Sheryl Ezze
Sheryl Ezze
Numerade Educator
01:13

Problem 78

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?

Celine Ibrahim
Celine Ibrahim
Numerade Educator
02:52

Problem 79

Give an everyday example where it helps to round numbers.

Gokul R  Nair
Gokul R Nair
Numerade Educator
03:16

Problem 80

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

Gokul R  Nair
Gokul R Nair
Numerade Educator
03:23

Problem 81

What is the difference between prime numbers and composite numbers?

Gokul R  Nair
Gokul R Nair
Numerade Educator
04:15

Problem 82

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

Gokul R  Nair
Gokul R Nair
Numerade Educator