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Algebra 1: Concepts and Skills

Ron Larson, Laurie Boswell, Holt McDougal

Chapter 2

Properties of Real Numbers - all with Video Answers

Educators


Section 1

The Real Number Line

00:51

Problem 1

On a number line, the numbers to the left of zero are ? numbers, and the numbers to the right of zero are ? numbers.

Rakvi .
Rakvi .
Numerade Educator
00:23

Problem 2

Zero and the positive integers are also called ? numbers.

Rakvi .
Rakvi .
Numerade Educator
01:00

Problem 3

Graph the numbers on a number line.
$-5,-1,4$

Rakvi .
Rakvi .
Numerade Educator
00:26

Problem 4

Graph the numbers on a number line.
$-3,0,3$

Rakvi .
Rakvi .
Numerade Educator
00:24

Problem 5

Graph the numbers on a number line.
$6,-2,0.5$

Rakvi .
Rakvi .
Numerade Educator
01:09

Problem 6

Graph the numbers on a number line.
$-1,-2,-\frac{2}{3}$

Rakvi .
Rakvi .
Numerade Educator
00:48

Problem 7

Complete the statement using $<$ or $>.$ Use the number line shown.
$-4 $ $?$ $-5$

Rakvi .
Rakvi .
Numerade Educator
00:35

Problem 8

Complete the statement using $<$ or $>.$ Use the number line shown.
$0$ $?$ $-8$

Rakvi .
Rakvi .
Numerade Educator
00:34

Problem 9

Complete the statement using $<$ or $>.$ Use the number line shown.
$6.7$ $?$ $-6.7$

Rakvi .
Rakvi .
Numerade Educator
00:45

Problem 10

Complete the statement using $<$ or $>.$ Use the number line shown.
$\frac{3}{2}$ $?$ $\frac{2}{3}$

Rakvi .
Rakvi .
Numerade Educator
00:49

Problem 11

Write the numbers in increasing order.
$2,-3,-8,1,-2$

Rakvi .
Rakvi .
Numerade Educator
01:00

Problem 12

Write the numbers in increasing order.
$1.2,-4,5,7,-6.1$

Rakvi .
Rakvi .
Numerade Educator
01:05

Problem 13

Write the numbers in increasing order.
$-7,-9,2, \frac{5}{4},-\frac{1}{5}$

Rakvi .
Rakvi .
Numerade Educator
00:27

Problem 14

Graph the numbers on a number line.
$0,2,6$

Rakvi .
Rakvi .
Numerade Educator
00:14

Problem 15

Graph the numbers on a number line.
$10,9,3$

Rakvi .
Rakvi .
Numerade Educator
00:11

Problem 16

Graph the numbers on a number line.
$5,2,8$

Rakvi .
Rakvi .
Numerade Educator
00:11

Problem 17

Graph the numbers on a number line.
$-7,-4,-8$

Rakvi .
Rakvi .
Numerade Educator
00:12

Problem 18

Graph the numbers on a number line.
$-1,-6,-7$

Rakvi .
Rakvi .
Numerade Educator
00:10

Problem 19

Graph the numbers on a number line.
$-2,-4,-6$

Rakvi .
Rakvi .
Numerade Educator
00:19

Problem 20

Graph the numbers on a number line.
$1,-2,3$

Rakvi .
Rakvi .
Numerade Educator
00:10

Problem 21

Graph the numbers on a number line.
$-3,1,5$

Rakvi .
Rakvi .
Numerade Educator
00:11

Problem 22

Graph the numbers on a number line.
$-4,4,-5$

Rakvi .
Rakvi .
Numerade Educator
00:33

Problem 23

Graph the numbers on a number line. Then write two inequalities that compare the numbers.
$-2,3$

Rakvi .
Rakvi .
Numerade Educator
00:30

Problem 24

Graph the numbers on a number line. Then write two inequalities that compare the numbers.
$4,-6$

Rakvi .
Rakvi .
Numerade Educator
00:21

Problem 25

Graph the numbers on a number line. Then write two inequalities that compare the numbers.
$-1,-6$

Rakvi .
Rakvi .
Numerade Educator
00:23

Problem 26

Graph the numbers on a number line. Then write two inequalities that compare the numbers.
$-7,-5$

Rakvi .
Rakvi .
Numerade Educator
00:21

Problem 27

Graph the numbers on a number line. Then write two inequalities that compare the numbers.
$0,-4$

Rakvi .
Rakvi .
Numerade Educator
00:22

Problem 28

Graph the numbers on a number line. Then write two inequalities that compare the numbers.
$8,-8$

Rakvi .
Rakvi .
Numerade Educator
00:18

Problem 29

Graph the numbers on a number line. Then write two inequalities that compare the numbers.
$10,11$

Rakvi .
Rakvi .
Numerade Educator
00:22

Problem 30

Graph the numbers on a number line. Then write two inequalities that compare the numbers.
$9,-12$

Rakvi .
Rakvi .
Numerade Educator
00:22

Problem 31

Match the number with its position on the number line.
8.1

Rakvi .
Rakvi .
Numerade Educator
00:25

Problem 32

Match the number with its position on the number line.
$-1.8$

Rakvi .
Rakvi .
Numerade Educator
00:48

Problem 33

Match the number with its position on the number line.
$\frac{8}{3}$

Rakvi .
Rakvi .
Numerade Educator
00:24

Problem 34

Match the number with its position on the number line.
$-\frac{15}{2}$

Rakvi .
Rakvi .
Numerade Educator
01:00

Problem 35

Graph the numbers on a number line.
$0.5,-1.5,2.5$

Rakvi .
Rakvi .
Numerade Educator
01:52

Problem 36

Graph the numbers on a number line.
$-5.6,-0.3,2$

Rakvi .
Rakvi .
Numerade Educator
00:51

Problem 37

Graph the numbers on a number line.
$4.2,4.4,4.6$

Rakvi .
Rakvi .
Numerade Educator
01:11

Problem 38

Graph the numbers on a number line.
$-\frac{7}{8}, 0,-0.5$

Rakvi .
Rakvi .
Numerade Educator
01:12

Problem 39

Graph the numbers on a number line.
$4.3,-\frac{9}{2},-2.8$

Rakvi .
Rakvi .
Numerade Educator
01:06

Problem 40

Graph the numbers on a number line.
$\frac{3}{4},-\frac{7}{3},-3$

Rakvi .
Rakvi .
Numerade Educator
01:41

Problem 41

Graph the numbers on a number line.
$\frac{1}{2},-\frac{2}{3},-\frac{1}{2}$

Rakvi .
Rakvi .
Numerade Educator
01:43

Problem 42

Graph the numbers on a number line.
$\frac{1}{3}, \frac{3}{2}, \frac{11}{4}$

Rakvi .
Rakvi .
Numerade Educator
02:04

Problem 43

Graph the numbers on a number line.
$\frac{9}{10},-\frac{2}{5},-\frac{8}{3}$

Rakvi .
Rakvi .
Numerade Educator
01:20

Problem 44

Write the numbers in increasing order.
$4.6,0.7,-4,-1.8,3,-0.6$

Rakvi .
Rakvi .
Numerade Educator
01:05

Problem 45

Write the numbers in increasing order.
$-0.3,0.2,0,2.0,-0.2,-3.0$

Rakvi .
Rakvi .
Numerade Educator
01:23

Problem 46

Write the numbers in increasing order.
$6.3,-6.8,-6.1,6.1,-6.2,6.7$

Rakvi .
Rakvi .
Numerade Educator
01:12

Problem 47

Write the numbers in increasing order.
$\frac{9}{2}, 3.4,4.1,-5.2,-5.1,-\frac{10}{4}$

Rakvi .
Rakvi .
Numerade Educator
01:17

Problem 48

Write the numbers in increasing order.
$7,-\frac{1}{2}, 2,-\frac{3}{4},-5, \frac{1}{6}$

Rakvi .
Rakvi .
Numerade Educator
01:17

Problem 49

Write the numbers in increasing order.
$4.8,-2.6,0,-\frac{7}{2}, \frac{1}{2},-\frac{1}{2}$

Rakvi .
Rakvi .
Numerade Educator
00:11

Problem 50

Complete the statement using $<$ or $>$.
If $x>-4,$ then $-4 ? x$

Rakvi .
Rakvi .
Numerade Educator
00:09

Problem 51

Complete the statement using $<$ or $>$.
If $3<y,$ then $y ? 3$

Rakvi .
Rakvi .
Numerade Educator
00:18

Problem 52

Elevation is represented by comparing a location to sea level, which is given a value of zero. A location above sea level has a positive elevation, and a location below sea level has a negative elevation.
Granite Peak, Montana, $12,799$ feet above sea level

Rakvi .
Rakvi .
Numerade Educator
00:12

Problem 53

Elevation is represented by comparing a location to sea level, which is given a value of zero. A location above sea level has a positive elevation, and a location below sea level has a negative elevation.
New Orleans, Louisiana, 8 feet below sea level

Rakvi .
Rakvi .
Numerade Educator
00:10

Problem 54

Elevation is represented by comparing a location to sea level, which is given a value of zero. A location above sea level has a positive elevation, and a location below sea level has a negative elevation.
Long Island Sound, Connecticut, sea level

Rakvi .
Rakvi .
Numerade Educator
04:43

Problem 55

A star’s brightness as it appears to a person on Earth is measured by its apparent magnitude. The lesser the apparent magnitude, the brighter the star.
Graph the apparent magnitudes on a number line. Label each point with the name of the star.

Rakvi .
Rakvi .
Numerade Educator
00:22

Problem 56

A star’s brightness as it appears to a person on Earth is measured by its apparent magnitude. The lesser the apparent magnitude, the brighter the star.
Which stars have an apparent magnitude that is less than the apparent magnitude of Altair?

Rakvi .
Rakvi .
Numerade Educator
00:24

Problem 57

A star’s brightness as it appears to a person on Earth is measured by its apparent magnitude. The lesser the apparent magnitude, the brighter the star.
Which stars have an apparent magnitude that is greater than the apparent magnitude of Procyon?

Rakvi .
Rakvi .
Numerade Educator
00:11

Problem 58

A star’s brightness as it appears to a person on Earth is measured by its apparent magnitude. The lesser the apparent magnitude, the brighter the star.
Which star has the least apparent magnitude and so looks the brightest?

Rakvi .
Rakvi .
Numerade Educator
00:09

Problem 59

A star’s brightness as it appears to a person on Earth is measured by its apparent magnitude. The lesser the apparent magnitude, the brighter the star.
Which star has the greatest apparent magnitude and so looks the dimmest?

Rakvi .
Rakvi .
Numerade Educator
01:00

Problem 60

Which inequality is true?
A) $-9>-5$
B) $9<5$
C) $9<-5$
D) $-9<5$

Rakvi .
Rakvi .
Numerade Educator
00:35

Problem 61

Which number is less than $-0.1 ?$
F) $-10$
G) 0
H) 0.001
J) 10

Rakvi .
Rakvi .
Numerade Educator
02:10

Problem 62

Which set of numbers is in increasing order?
A) $-1.9,1.8,-0.5,0,0.5$
B) $-1,9,-0,5,0,0,5,1,8$
C) $0,-0.5,0.5,1.8,-1.9$
D) $-0.5,0,0.5,1.8,-1.9$

Rakvi .
Rakvi .
Numerade Educator
00:46

Problem 63

Find the area of the object.
The top of a computer desk measures 2 feet by 2 feet.

Rakvi .
Rakvi .
Numerade Educator
00:41

Problem 64

Find the area of the object.
The cover of a children’s book is 4 inches long and 4 inches wide.

Rakvi .
Rakvi .
Numerade Educator
00:31

Problem 65

Find the area of the object.
A square piece of construction paper has a side length of 9 centimeters.

Rakvi .
Rakvi .
Numerade Educator
01:01

Problem 66

Use mental math to solve the equation.
$9-y=1$

Rakvi .
Rakvi .
Numerade Educator
00:30

Problem 67

Use mental math to solve the equation.
$t+6=10$

Rakvi .
Rakvi .
Numerade Educator
00:34

Problem 68

Use mental math to solve the equation.
$2 a=8$

Rakvi .
Rakvi .
Numerade Educator
00:40

Problem 69

Use mental math to solve the equation.
$15 \div r=3$

Rakvi .
Rakvi .
Numerade Educator
00:16

Problem 70

Use mental math to solve the equation.
$\frac{k}{2}=8$

Rakvi .
Rakvi .
Numerade Educator
00:45

Problem 71

Use mental math to solve the equation.
$\frac{27}{n}=9$

Rakvi .
Rakvi .
Numerade Educator
03:27

Problem 72

The table shows the number of births (in thousands) in the United States by month for 1997. Make a bar graph of the data.

Lucas Finney
Lucas Finney
Numerade Educator
03:21

Problem 73

When it is $70^{\circ} \mathrm{F}$, the function $T=0.08 \mathrm{H}+64.3$ gives the apparent temperature $T$ (in degrees Fahrenheit) based on the relative humidity $\mathrm{H}$ (as a percent).
Copy and complete the input-output table.

Narayan Hari
Narayan Hari
Numerade Educator
03:21

Problem 74

When it is $70^{\circ} \mathrm{F}$, the function $T=0.08 \mathrm{H}+64.3$ gives the apparent temperature $T$ (in degrees Fahrenheit) based on the relative humidity $\mathrm{H}$ (as a percent).
Use the table to draw a graph that represents the function.

Narayan Hari
Narayan Hari
Numerade Educator
03:21

Problem 75

When it is $70^{\circ} \mathrm{F}$, the function $T=0.08 \mathrm{H}+64.3$ gives the apparent temperature $T$ (in degrees Fahrenheit) based on the relative humidity $\mathrm{H}$ (as a percent).
Determine the range of the function.

Narayan Hari
Narayan Hari
Numerade Educator
00:40

Problem 76

Write the prime factorization of the number if it is not a prime. If the number is a prime, write prime.
18

Rakvi .
Rakvi .
Numerade Educator
00:28

Problem 77

Write the prime factorization of the number if it is not a prime. If the number is a prime, write prime.
35

Rakvi .
Rakvi .
Numerade Educator
04:25

Problem 78

Write the prime factorization of the number if it is not a prime. If the number is a prime, write prime.
47

Rakvi .
Rakvi .
Numerade Educator
01:34

Problem 79

Write the prime factorization of the number if it is not a prime. If the number is a prime, write prime.
64

Rakvi .
Rakvi .
Numerade Educator
00:50

Problem 80

Write the prime factorization of the number if it is not a prime. If the number is a prime, write prime.
100

Rakvi .
Rakvi .
Numerade Educator
02:39

Problem 81

Write the prime factorization of the number if it is not a prime. If the number is a prime, write prime.
101

Rakvi .
Rakvi .
Numerade Educator
00:52

Problem 82

Write the prime factorization of the number if it is not a prime. If the number is a prime, write prime.
110

Rakvi .
Rakvi .
Numerade Educator
01:38

Problem 83

Write the prime factorization of the number if it is not a prime. If the number is a prime, write prime.
144

Rakvi .
Rakvi .
Numerade Educator