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Sample set e

Multiply 75,891 by 263.

Display Reads
Type 75891 75891
Press × 75891
Type 263 263
Press = 19959333

The product is 19,959,333.

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Multiply 4,510,000,000,000 by 1,700.

Display Reads
Type 451 451
Press × 451
Type 17 17
Press = 7667

The display now reads 7667. We'll have to add the zeros ourselves. There are a total of 12 zeros. Attaching 12 zeros to 7667, we get 7,667,000,000,000,000.

The product is 7,667,000,000,000,000.

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Multiply 57,847,298 by 38,976.

Display Reads
Type 57847298 57847298
Press × 57847298
Type 38976 38976
Press = 2.2546563 12

The display now reads 2.2546563 12. What kind of number is this? This is an example of a whole number written in scientific notation . We'll study this concept when we get to decimal numbers.

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Practice set e

Use a calculator to perform each multiplication.

52 × 27 size 12{"52" times "27"} {}

1,404

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1, 448 × 6, 155 size 12{1,"448" times 6,"155"} {}

8,912,440

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8, 940 , 000 × 205 , 000 size 12{8,"940","000" times "205","000"} {}

1,832,700,000,000

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Exercises

For the following problems, perform the multiplications. You may check each product with a calculator.

3,106 × 1,752 ̲

5,441,712

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7,057 × 5,229 ̲

36,901,053

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5,804 × 4,300 ̲

24,957,200

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5,173 ×       8 ̲

41,384

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1,999 ×       0 ̲

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1,666 ×       0 ̲

0

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51,730 ×     142 ̲

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460,000 ×   14,000 ̲

6,440,000,000

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558,000,000 ×         81,000 ̲

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37,000 ×       120 ̲

4,440,000

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498,000 ×           0 ̲

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4,585,000 ×         140 ̲

641,900,000

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30,700,000 ×             180 ̲

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8,000 ×      10 ̲

80,000

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Suppose a theater holds 426 people. If the theater charges $4 per ticket and sells every seat, how much money would they take in?

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In an English class, a student is expected to read 12 novels during the semester and prepare a report on each one of them. If there are 32 students in the class, how many reports will be prepared?

384 reports

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In a mathematics class, a final exam consists of 65 problems. If this exam is given to 28 people, how many problems must the instructor grade?

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A business law instructor gives a 45 problem exam to two of her classes. If each class has 37 people in it, how many problems will the instruc­tor have to grade?

3,330 problems

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An algebra instructor gives an exam that consists of 43 problems to four of his classes. If the classes have 25, 28, 31, and 35 students in them, how many problems will the instructor have to grade?

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In statistics, the term "standard deviation" refers to a number that is calculated from certain data. If the data indicate that one standard de­viation is 38 units, how many units is three stan­dard deviations?

114 units

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Soft drinks come in cases of 24 cans. If a supermarket sells 857 cases during one week, how many individual cans were sold?

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There are 60 seconds in 1 minute and 60 minutes in 1 hour. How many seconds are there in 1 hour?

3,600 seconds

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There are 60 seconds in 1 minute, 60 minutes in one hour, 24 hours in one day, and 365 days in one year. How many seconds are there in 1 year?

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Light travels 186,000 miles in one second. How many miles does light travel in one year? ( Hint: Can you use the result of the previous problem?)

5,865,696,000,000 miles per year

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An elementary school cafeteria sells 328 lunches every day. Each lunch costs $1. How much money does the cafeteria bring in in 2 weeks?

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A computer company is selling stock for $23 a share. If 87 people each buy 55 shares, how much money would be brought in?

$110,055

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Exercises for review

( [link] ) In the number 421,998, how may ten thousands are there?

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( [link] ) Round 448,062,187 to the nearest hundred thousand.

448,100,000

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( [link] ) Find the sum. 22,451 + 18,976.

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( [link] ) Subtract 2,289 from 3,001.

712

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( [link] ) Specify which property of addition justifies the fact that (a first whole number + a second whole number) = (the second whole number + the first whole number)

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Questions & Answers

what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Tanis Reply

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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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