2.1 Multiplication of whole numbers  (Page 2/3)

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The product is 16,236.

Practice set b

Find the following products.

185

624

3,752

320,152

904,797

The multiplication process with a multiple digit multiplier

In a multiplication in which the multiplier is composed of two or more digits, the multiplication must take place in parts . The process is as follows:

• First Partial Product Multiply the multiplicand by the ones digit of the multiplier. This product is called the first partial product .
• Second Partial Product Multiply the multiplicand by the tens digit of the multiplier. This product is called the second partial product . Since the tens digit is used as a factor, the second partial product is written below the first partial product so that its rightmost digit appears in the tens column.
• If necessary, continue this way finding partial products. Write each one below the previous one so that the rightmost digit appears in the column directly below the digit that was used as a factor.
• Total Product Add the partial products to obtain the total product .

It may be necessary to carry when finding each partial product.

Sample set c

Multiply 326 by 48.

• This step is unnecessary since all of the digits in the multiplier have been used.
• Add the partial products to obtain the total product.

• The product is 15,648.

Multiply 5,369 by 842.

• The product is 4,520,698.

Multiply 1,508 by 206.

• Since 0 times 1508 is 0, the partial product will not change the identity of the total product (which is obtained by addition). Go to the next partial product.

• The product is 310,648

Practice set c

Multiply 73 by 14.

1,022

Multiply 86 by 52.

4,472

Multiply 419 by 85.

35,615

Multiply 2,376 by 613.

1,456,488

Multiply 8,107 by 304.

2,464,528

Multiply 66,260 by 1,008.

66,790,080

Multiply 209 by 501.

104,709

Multiply 24 by 10.

240

Multiply 3,809 by 1,000.

3,809,000

Multiply 813 by 10,000.

8,130,000

Multiplications with numbers ending in zero

Often, when performing a multiplication, one or both of the factors will end in zeros. Such multiplications can be done quickly by aligning the numbers so that the rightmost nonzero digits are in the same column.

Sample set d

Perform the multiplication $\left(\text{49},\text{000}\right)\left(1,\text{200}\right)$ .

Since 9 and 2 are the rightmost nonzero digits, put them in the same column.

Draw (perhaps mentally) a vertical line to separate the zeros from the nonzeros.

Multiply the numbers to the left of the vertical line as usual, then attach to the right end of this product the total number of zeros.

The product is 58,800,000

Practice set d

Multiply 1,800 by 90.

162,000

Multiply 420,000 by 300.

126,000,000

Multiply 20,500,000 by 140,000.

2,870,000,000,000

Calculators

Most multiplications are performed using a calculator.

Questions & Answers

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
what is biological synthesis of nanoparticles
Sanket 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, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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