# 2.1 Multiplication of whole numbers  (Page 3/3)

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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.

$\text{52}×\text{27}$

1,404

$1,\text{448}×6,\text{155}$

8,912,440

$8,\text{940},\text{000}×\text{205},\text{000}$

1,832,700,000,000

## Exercises

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

$\begin{array}{c}\hfill 8\\ \hfill \underline{×3}\end{array}$

24

$\begin{array}{c}\hfill 3\\ \hfill \underline{×5}\end{array}$

$\begin{array}{c}\hfill 8\\ \hfill \underline{×6}\end{array}$

48

$\begin{array}{c}\hfill 5\\ \hfill \underline{×7}\end{array}$

$\text{6 × 1}$

6

$\text{4 × 5}$

$\text{75 × 3}$

225

$\text{35 × 5}$

270

582

$\begin{array}{c}\hfill 75\\ \hfill \underline{×57}\end{array}$

$\begin{array}{c}\hfill 64\\ \hfill \underline{×15}\end{array}$

960

$\begin{array}{c}\hfill 73\\ \hfill \underline{×15}\end{array}$

$\begin{array}{c}\hfill 81\\ \hfill \underline{×95}\end{array}$

7,695

$\begin{array}{c}\hfill 31\\ \hfill \underline{×33}\end{array}$

$\text{57 × 64}$

3,648

$\text{76 × 42}$

$\text{894 × 52}$

46,488

$\text{684 × 38}$

2,530

6,888

$\text{930 × 26}$

24,180

$\text{318 × 63}$

$\begin{array}{c}\hfill 582\\ \hfill \underline{×127}\end{array}$

73,914

$\begin{array}{c}\hfill 247\\ \hfill \underline{×116}\end{array}$

$\begin{array}{c}\hfill 305\\ \hfill \underline{×225}\end{array}$

68,625

$\begin{array}{c}\hfill 782\\ \hfill \underline{×547}\end{array}$

$\begin{array}{c}\hfill 771\\ \hfill \underline{×663}\end{array}$

511,173

$\begin{array}{c}\hfill 638\\ \hfill \underline{×516}\end{array}$

$\text{1,905 × 710}$

1,352,550

$\text{5,757 × 5,010}$

$\begin{array}{c}\hfill 3,106\\ \hfill \underline{×1,752}\end{array}$

5,441,712

$\begin{array}{c}\hfill 9,300\\ \hfill \underline{×1,130}\end{array}$

$\begin{array}{c}\hfill 7,057\\ \hfill \underline{×5,229}\end{array}$

36,901,053

$\begin{array}{c}\hfill 8,051\\ \hfill \underline{×5,580}\end{array}$

$\begin{array}{c}\hfill 5,804\\ \hfill \underline{×4,300}\end{array}$

24,957,200

$\begin{array}{c}\hfill 357\\ \hfill \underline{×16}\end{array}$

0

41,384

0

$\begin{array}{c}\hfill 387\\ \hfill \underline{×190}\end{array}$

73,530

6,440,000,000

4,440,000

641,900,000

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

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
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
Google
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
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
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
Brian Reply
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?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
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 ?
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
7hours 36 min - 4hours 50 min
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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