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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.

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.

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.

Practice set e

Use a calculator to perform each multiplication.

52 × 27 size 12{"52" times "27"} {}

1,404

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

8,912,440

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

1,832,700,000,000

Exercises

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

8 × 3 ̲

24

3 × 5 ̲

8 × 6 ̲

48

5 × 7 ̲

6 × 1

6

4 × 5

75 × 3

225

35 × 5

45 ×   6 ̲

270

31 ×   7 ̲

97 ×   6 ̲

582

75 × 57 ̲

64 × 15 ̲

960

73 × 15 ̲

81 × 95 ̲

7,695

31 × 33 ̲

57 × 64

3,648

76 × 42

894 × 52

46,488

684 × 38

115 ×   22 ̲

2,530

706 ×   81 ̲

328 ×   21 ̲

6,888

550 ×   94 ̲

930 × 26

24,180

318 × 63

582 × 127 ̲

73,914

247 × 116 ̲

305 × 225 ̲

68,625

782 × 547 ̲

771 × 663 ̲

511,173

638 × 516 ̲

1,905 × 710

1,352,550

5,757 × 5,010

3,106 × 1,752 ̲

5,441,712

9,300 × 1,130 ̲

7,057 × 5,229 ̲

36,901,053

8,051 × 5,580 ̲

5,804 × 4,300 ̲

24,957,200

357 × 16 ̲

724 ×     0 ̲

0

2,649 ×     41 ̲

5,173 ×       8 ̲

41,384

1,999 ×       0 ̲

1,666 ×       0 ̲

0

51,730 ×     142 ̲

387 × 190 ̲

73,530

3,400 ×     70 ̲

460,000 ×   14,000 ̲

6,440,000,000

558,000,000 ×         81,000 ̲

37,000 ×       120 ̲

4,440,000

498,000 ×           0 ̲

4,585,000 ×         140 ̲

641,900,000

30,700,000 ×             180 ̲

8,000 ×      10 ̲

80,000

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

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

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?

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

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?

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

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

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

3,600 seconds

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?

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

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

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

Exercises for review

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

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

448,100,000

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

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

712

( [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)

Questions & Answers

Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
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
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
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Contemporary math applications. OpenStax CNX. Dec 15, 2014 Download for free at http://legacy.cnx.org/content/col11559/1.6
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