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−4.2 + ( −9.3 )

−13.5

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Multiply and Divide Decimals

In the following exercises, multiply.

( 8.52 ) ( 3.14 )

26.7528

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( 0.09 ) ( 24.78 )

2.2302

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In the following exercises, divide.

Convert Decimals, Fractions, and Percents

In the following exercises, write each decimal as a fraction.

In the following exercises, convert each fraction to a decimal.

In the following exercises, convert each percent to a decimal.

In the following exercises, convert each decimal to a percent.

The Real Numbers

Simplify Expressions with Square Roots

In the following exercises, simplify.

Identify Integers, Rational Numbers, Irrational Numbers, and Real Numbers

In the following exercises, write as the ratio of two integers.

9 8.47

9 1 847 100

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In the following exercises, list the rational numbers, irrational numbers.

0.84 , 0.79132 , 1. 3

0.84 , 1. 3 0.79132 ,

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2.3 8 , 0.572 , 4.93814

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In the following exercises, identify whether each number is rational or irrational.

121 48

rational irrational

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In the following exercises, identify whether each number is a real number or not a real number.

−9 169

not a real number real number

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In the following exercises, list the whole numbers, integers, rational numbers, irrational numbers, real numbers for each set of numbers.

−4 , 0 , 5 6 , 16 , 18 , 5.2537

0 , 16 −4 , 0 , 16 −4 , 0 , 5 6 , 16 18 , 5.2537 −4 , 0 , 5 6 , 16 , 18 , 5.2537

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4 , 0. 36 , 13 3 , 6.9152 , 48 , 10 1 2

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Locate Fractions on the Number Line

In the following exercises, locate the numbers on a number line.

In the following exercises, order each of the following pairs of numbers, using<or>.

Locate Decimals on the Number Line

In the following exercises, locate on the number line.

In the following exercises, order each of the following pairs of numbers, using<or>.

Properties of Real Numbers

Use the Commutative and Associative Properties

In the following exercises, use the Associative Property to simplify.

In the following exercises, simplify.

6 y + 37 + ( −6 y )

37

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1 4 + 11 15 + ( 1 4 )

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14 11 · 35 9 · 14 11

35 9

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( 7 12 + 4 5 ) + 1 5

1 7 12

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( 3.98 d + 0.75 d ) + 1.25 d

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11 x + 8 y + 16 x + 15 y

27 x + 23 y

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52 m + ( −20 n ) + ( −18 m ) + ( −5 n )

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Use the Identity and Inverse Properties of Addition and Multiplication

In the following exercises, find the additive inverse of each number.


1 3
5.1
−14
8 5

1 3 −5.1 14 8 5

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7 8
−0.03
17
12 5

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In the following exercises, find the multiplicative inverse of each number.

10 4 9 0.6

1 10 9 4 5 3

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9 2 −7 2.1

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Use the Properties of Zero

In the following exercises, simplify.

In the following exercises, simplify.

Simplify Expressions Using the Distributive Property

Questions & Answers

where's the answers?
Ed Reply
I don't see where the answers are.
Ed
Cindy and Richard leave their dorm in Charleston at the same time. Cindy rides her bicycle north at a speed of 18 miles per hour. Richard rides his bicycle south at a speed of 14 miles per hour. How long will it take them to be 96 miles apart?
Maddy Reply
3
Christopher
18t+14t=96 32t=96 32/96 3
Christopher
show that a^n-b^2n is divisible by a-b
Florence Reply
What does 3 times your weight right now
Cherokee Reply
Use algebra to combine 39×5 and the half sum of travel of 59+30
Cherokee
What is the segment of 13? Explain
Cherokee
my weight is 49. So 3 times is 147
Cherokee
kg to lbs you goin to convert 2.2 or one if the same unit your going to time your body weight by 3. example if my body weight is 210lb. what would be my weight if I was 3 times as much in kg. that's you do 210 x3 = 630lb. then 630 x 2.2= .... hope this helps
tyler
How to convert grams to pounds?
paul
What is the lcm of 340
Kendra Reply
Yes
Cherokee
How many numbers each equal to y must be taken to make 15xy
Malik Reply
15x
Martin
15x
Asamoah
15x
Hugo
1y
Tom
1y x 15y
Tom
find the equation whose roots are 1 and 2
Adda Reply
(x - 2)(x -1)=0 so equation is x^2-x+2=0
Ranu
I believe it's x^2-3x+2
NerdNamedGerg
because the X's multiply by the -2 and the -1 and than combine like terms
NerdNamedGerg
find the equation whose roots are -1 and 4
Adda
Ans = ×^2-3×+2
Gee
find the equation whose roots are -2 and -1
Adda
(×+1)(×-4) = x^2-3×-4
Gee
Quadratic equations involving factorization
Winner Reply
there's a chatting option in the app wow
Nana
That's cool cool
Nana
Nice to meet you all
Nana
you too.
Joan
😃
Nana
Hey you all there are several Free Apps that can really help you to better solve type Equations.
Debra
Debra, which apps specifically. ..?
Nana
am having a course in elementary algebra ,any recommendations ?
samuel
Samuel Addai, me too at ucc elementary algebra as part of my core subjects in science
Nana
me too as part of my core subjects in R M E
Ken
at ABETIFI COLLEGE OF EDUCATION
Ken
ok great. Good to know.
Joan
5x + 1/3= 2x + 1/2
sanam
Plz solve this
sanam
5x - 3x = 1/2 - 1/3 2x = 1/6 x = 1/12
Ranu
Thks ranu
sanam
a trader gains 20 rupees loses 42 rupees and then gains ten rupees Express algebraically the result of his transactions
vinaya Reply
a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions
vinaya
a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions
vinaya
a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions
vinaya
Kim is making eight gallons of punch from fruit juice and soda. The fruit juice costs $6.04 per gallon and the soda costs $4.28 per gallon. How much fruit juice and how much soda should she use so that the punch costs $5.71 per gallon?
Mohamed Reply
(a+b)(p+q+r)(b+c)(p+q+r)(c+a) (p+q+r)
muhammad Reply
4x-7y=8 2x-7y=1 what is the answer?
Ramil Reply
x=7/2 & y=6/7
Pbp
x=7/2 & y=6/7 use Elimination
Debra
true
bismark
factoriz e
usman
4x-7y=8 X=7/4y+2 and 2x-7y=1 x=7/2y+1/2
Peggie
Ok cool answer peggie
Frank
thanks
Ramil
copy and complete the table. x. 5. 8. 12. then 9x-5. to the 2nd power+4. then 2xto the second power +3x
Sandra Reply
What is c+4=8
Penny Reply
2
Letha
4
Lolita
4
Rich
4
thinking
C+4=8 -4 -4 C =4
thinking
I need to study
Letha
4+4=8
William
During two years in college, a student earned $9,500. The second year, she earned $500 more than twice the amount she earned the first year.
Nicole Reply
9500=500+2x
Debra
9500-500=9000 9000÷2×=4500 X=4500
Debra
X + Y = 9500....... & Y = 500 + 2X so.... X + 500 + 2X = 9500, them X = 3000 & Y = 6500
Pbp

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Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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