# 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.

where we get a research paper on Nano chemistry....?
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
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?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
7hours 36 min - 4hours 50 min