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Simplify: 7 8 + 6.4 .

Solution

7 8 + 6.4
Change 7 8 to a decimal. . 0.875 + 6.4
Add. 7.275
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Simplify: 3 8 + 4.9 .

5.275

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Simplify: 5.7 + 13 20 .

6.35

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Order decimals and fractions

In Decimals , we compared two decimals and determined which was larger. To compare a decimal to a fraction, we will first convert the fraction to a decimal and then compare the decimals.

Order 3 8 __ 0.4 using < or >.

Solution

3 8 __ 0.4
Convert 3 8 to a decimal. 0.375 __ 0.4
Compare 0.375 to 0.4 0.375 < 0.4
Rewrite with the original fraction. 3 8 < 0.4
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Order each of the following pairs of numbers, using < or >.

17 20 __ 0.82

>

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Order each of the following pairs of numbers, using < or >.

3 4 __ 0.785

<

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When ordering negative numbers, remember that larger numbers are to the right on the number line and any positive number is greater than any negative number.

Order −0.5 ___ 3 4 using < or >.

Solution

−0.5 ___ 3 4
Convert 3 4 to a decimal. −0.5 ___ −0.75
Compare −0.5 to −0.75 . −0.5 > −0.75
Rewrite the inequality with the original fraction. −0.5 > 3 4
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Order each of the following pairs of numbers, using < or >:

5 8 __ −0.58

<

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Order each of the following pairs of numbers, using < or >:

−0.53 __ 11 20

>

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Write the numbers 13 20 , 0.61 , 11 16 in order from smallest to largest.

Solution

13 20 , 0.61 , 11 16
Convert the fractions to decimals. 0.65 , 0.61 , 0.6875
Write the smallest decimal number first. 0.61 , ____ , _____
Write the next larger decimal number in the middle place. 0.61 , 0.65 , _____
Write the last decimal number (the larger) in the third place. 0.61 , 0.65 , 0.6875
Rewrite the list with the original fractions. 0.61 , 13 20 , 11 16
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Write each set of numbers in order from smallest to largest: 7 8 , 4 5 , 0.82 .

4 5 , 0.82 , 7 8

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Write each set of numbers in order from smallest to largest: 0.835 , 13 16 , 3 4 .

3 4 , 13 16 , 0.835

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Simplify expressions using the order of operations

The order of operations introduced in Use the Language of Algebra also applies to decimals. Do you remember what the phrase “Please excuse my dear Aunt Sally” stands for?

Simplify the expressions:

7 ( 18.3 21.7 )

2 3 ( 8.3 3.8 )

Solution

7 ( 18.3 21.7 )
Simplify inside parentheses. 7 ( −3.4 )
Multiply. −23.8
2 3 ( 8.3 3.8 )
Simplify inside parentheses. 2 3 ( 4.5 )
Write 4.5 as a fraction. 2 3 ( 4.5 1 )
Multiply. 9 3
Simplify. 3
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Simplify: 8 ( 14.6 37.5 ) 3 5 ( 9.6 2.1 ) .

  1. −183.2
  2. 4.5

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Simplify: 25 ( 25.69 56.74 ) 2 7 ( 11.9 4.2 ) .

  1. −776.25
  2. 2.2

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Simplify each expression:

6 ÷ 0.6 + ( 0.2 ) 4 ( 0.1 ) 2

( 1 10 ) 2 + ( 3.5 ) ( 0.9 )

Solution

6 ÷ 0.6 + ( 0.2 ) 4 ( 0.1 ) 2
Simplify exponents. 6 ÷ 0.6 + ( 0.2 ) 4 0.01
Divide. 10 + ( 0.2 ) 4 0.01
Multiply. 10 + 0.8 0.01
Add. 10.8 0.01
Subtract. 10.79
( 1 10 ) 2 + ( 3.5 ) ( 0.9 )
Simplify exponents. 1 100 + ( 3.5 ) ( 0.9 )
Multiply. 1 100 + 3.15
Convert 1 100 to a decimal. 0.01 + 3.15
Add. 3.16
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Simplify: 9 ÷ 0.9 + ( 0.4 ) 3 ( 0.2 ) 2 .

11.16

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Simplify: ( 1 2 ) 2 + ( 0.3 ) ( 4.2 ) .

1.51

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Find the circumference and area of circles

The properties of circles have been studied for over 2,000 years. All circles have exactly the same shape, but their sizes are affected by the length of the radius , a line segment from the center to any point on the circle. A line segment that passes through a circle’s center connecting two points on the circle is called a diameter . The diameter is twice as long as the radius. See [link] .

The size of a circle can be measured in two ways. The distance around a circle is called its circumference .

Questions & Answers

what is microbiology
Agebe Reply
What is a cell
Odelana Reply
what is cell
Mohammed
how does Neisseria cause meningitis
Nyibol Reply
what is microbiologist
Muhammad Reply
what is errata
Muhammad
is the branch of biology that deals with the study of microorganisms.
Ntefuni Reply
What is microbiology
Mercy Reply
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
Ziyad Reply
How bacteria create energy to survive?
Muhamad Reply
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
Aminu Reply
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Esinniobiwa Reply
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Shu Reply
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Micheal Reply
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
what is cell
faisal Reply
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
ok
Innocent
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
Micheal Reply
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
en français
Adama
which site have a normal flora
ESTHER Reply
Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract
Safaa
skin
Asiina
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
all
Tesfaye
by fussion
Asiina
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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