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Elementary Algebra

Lynn Marecek

Chapter 1

Foundations - all with Video Answers

Educators


Section 1

Introduction to Whole Numbers

01:02

Problem 1

Find the place value of each digit in the given numbers.
51,493
(a) 1
(b) 4
(c) 9
(d) 5
(e) 3

Maria Dearborn
Maria Dearborn
Numerade Educator
01:02

Problem 2

Find the place value of each digit in the given numbers.
87,210
(a) 2
(b) 8
(c) 0
(d) 7
(e) 1

Maria Dearborn
Maria Dearborn
Numerade Educator
01:02

Problem 3

Find the place value of each digit in the given numbers.
164,285
(a) 5
(b) 6
(c) 1
(d) 8
(e) 2

Maria Dearborn
Maria Dearborn
Numerade Educator
01:02

Problem 4

Find the place value of each digit in the given numbers.
395,076
(a) 5
(b) 3
(c) 7
(d) 0
(e) 9

Maria Dearborn
Maria Dearborn
Numerade Educator
01:02

Problem 5

Find the place value of each digit in the given numbers.
93,285,170
(a) 9
(b) 8
(c) 7
(d) 5
(e) 3

Maria Dearborn
Maria Dearborn
Numerade Educator
01:02

Problem 6

Find the place value of each digit in the given numbers.
36,084,215
(a) 8
(b) 6
(c) 5
(d) 4
(e) 3

Maria Dearborn
Maria Dearborn
Numerade Educator
01:02

Problem 7

Find the place value of each digit in the given numbers.
7,284,915,860,132
(a) 7
(b) 4
(c) 5
(d) 3
(e) 0

Maria Dearborn
Maria Dearborn
Numerade Educator
00:58

Problem 8

Find the place value of each digit in the given numbers.
2,850,361,159,433
(a) 9
(b) 8
(c) 6
(d) 4
(e) 2

Naomi Motes
Naomi Motes
Numerade Educator
01:42

Problem 9

Name each number using words.
$$1,078$$

Naomi Motes
Naomi Motes
Numerade Educator
01:44

Problem 10

Name each number using words.
$$5,902$$

Naomi Motes
Naomi Motes
Numerade Educator
01:04

Problem 11

Name each number using words.
$$364,510$$

Naomi Motes
Naomi Motes
Numerade Educator
01:42

Problem 12

Name each number using words.
$$146,023$$

Naomi Motes
Naomi Motes
Numerade Educator
01:44

Problem 13

Name each number using words.
$$5,846,103$$

Naomi Motes
Naomi Motes
Numerade Educator
01:44

Problem 14

Name each number using words.
$$1,458,398$$

Naomi Motes
Naomi Motes
Numerade Educator
01:44

Problem 15

Name each number using words.
$$37,889,005$$

Naomi Motes
Naomi Motes
Numerade Educator
01:42

Problem 16

Name each number using words.
$$62,008,465$$

Naomi Motes
Naomi Motes
Numerade Educator
00:50

Problem 17

Write each number as a whole number using digits.
four hundred twelve

Naomi Motes
Naomi Motes
Numerade Educator
00:25

Problem 18

Write each number as a whole number using digits.
two hundred fifty-three

Naomi Motes
Naomi Motes
Numerade Educator
00:25

Problem 19

Write each number as a whole number using digits.
thirty-five thousand, nine hundred seventy-five

Naomi Motes
Naomi Motes
Numerade Educator
00:25

Problem 20

Write each number as a whole number using digits.
sixty-one thousand, four hundred fifteen

Naomi Motes
Naomi Motes
Numerade Educator
02:01

Problem 21

Write each number as a whole number using digits.
eleven million, forty-four thousand, one hundred sixty-seven

Karly Williams
Karly Williams
Numerade Educator
02:01

Problem 22

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

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

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

Round to the nearest ten.
(a) 386 (b) 2,931

Jennifer Stoner
Jennifer Stoner
Numerade Educator
01:26

Problem 26

Round to the nearest ten.
(a) 792
(b) 5,647

Karly Williams
Karly Williams
Numerade Educator
00:21

Problem 27

Round to the nearest hundred.
(a) 13,748
(b) 391,794

Brandon Fox
Brandon Fox
Numerade Educator
00:15

Problem 28

Round to the nearest hundred.
(a) 28,166 (b) 481,628

Amy Jiang
Amy Jiang
Numerade Educator
01:34

Problem 29

Round to the nearest ten.
(a) 1,492 (b) 1,497

Karly Williams
Karly Williams
Numerade Educator
01:33

Problem 30

Round to the nearest ten.
(a) 2,791
(a) 2,795

Naomi Motes
Naomi Motes
Numerade Educator
01:42

Problem 31

Round to the nearest hundred.
(a) 63,994 (b) 63,940

James Kiss
James Kiss
Numerade Educator
00:12

Problem 32

Round to the nearest hundred.
(a) 49,584 (b) 49,548

Brandon Fox
Brandon Fox
Numerade Educator
00:58

Problem 33

Round each number to the nearest (a) hundred, (b) thousand, (c) ten thousand.
$$392,546$$

Breanna Ollech
Breanna Ollech
Numerade Educator
00:58

Problem 34

Round each number to the nearest (a) hundred, (b) thousand, (c) ten thousand.
$$619,348$$

Breanna Ollech
Breanna Ollech
Numerade Educator
00:58

Problem 35

Round each number to the nearest (a) hundred, (b) thousand, (c) ten thousand.
$$2,586,991$$

Breanna Ollech
Breanna Ollech
Numerade Educator
00:58

Problem 36

Round each number to the nearest (a) hundred, (b) thousand, (c) ten thousand.
$$4,287,965$$

Breanna Ollech
Breanna Ollech
Numerade Educator
03:05

Problem 37

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

Reethika Digumarthy
Reethika Digumarthy
Numerade Educator
01:27

Problem 38

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

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

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

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

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

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

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

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

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

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

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
00:07

Problem 49

Find the prime factorization.
$$86$$

Ashley Hanson
Ashley Hanson
Numerade Educator
00:26

Problem 50

Find the prime factorization.
$$78$$

James Kiss
James Kiss
Numerade Educator
00:19

Problem 51

Find the prime factorization.
$$132$$

Amy Jiang
Amy Jiang
Numerade Educator
01:02

Problem 52

Find the prime factorization.
$$455$$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:03

Problem 53

Find the prime factorization.
$$693$$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
00:17

Problem 54

Find the prime factorization.
$$400$$

Amy Jiang
Amy Jiang
Numerade Educator
01:24

Problem 55

Find the prime factorization.
$$432$$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
00:50

Problem 56

Find the prime factorization.
$$627$$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:50

Problem 57

Find the prime factorization.
$$2,160$$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:36

Problem 58

Find the prime factorization.
$$2,520$$

Celine Ibrahim
Celine Ibrahim
Numerade Educator
01:16

Problem 59

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

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

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

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

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

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

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

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

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

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

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

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
03:05

Problem 73

Jorge bought a car for $$\$ 24,493$$. Round the price to the nearest (a) ten (b) hundred (c) thousand; and (d) tenthousand.

Karly Williams
Karly Williams
Numerade Educator
02:27

Problem 74

Marissa's kitchen remodeling cost $$\$ 18,549,$$ Round the cost to the nearest (a) ten (b) hundred (c) thousand and (d) ten-thousand.

Karly Williams
Karly Williams
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 (a) billion (b) hundred-million; and (c) 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
(a) hundred-million (b) ten-million; and (c) million.

Gokul R  Nair
Gokul R Nair
Numerade Educator
01:49

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?

Celine Ibrahim
Celine Ibrahim
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