The Yukon Education Friday Math Snippet For Friday, November 4

The Yukon Education Friday Math Snippet For
Friday, November 4 and 11, 2011
Financial Literacy 101
RESP contributions. Move to the head of the class.
Anyone can invest in a child’s educational future by opening an RESP
account. Get a head start and begin contributing to a child’s RESP early on.
The sooner you start, the more money will be saved over time. Visit
SmallChangeAddsUp.ca for easy to follow guidelines.
Informative articles
★ Moneyville.ca looks at differences between an RRSP and a TFSA and
which is best. Read more.
★ Smart on Money looks at the root causes of our debt. If we don't
understand why we spend money how can we try not to spend it? Read
more.
★ Canadian Finance blog challenges us to think about whether or not we
need life insurance. Read more.
★ Million Dollar Journey explains Pension Basics: Selecting a form of
pension payout, the pros and cons. Read more.
★ From homeless to home owner (Globe and Mail).
Thank you from Creative Mathematics!
Thank you for your continued support of Creative Mathematics! It is our goal
to provide you with the top math presenters in the country for exceptional
teacher trainings and offer you an extensive line of math products.
The Yukon Education Friday Math Snippet is compiled by Ms. Paula Thompson, Mathematics Consultant.
While visiting our website, be sure to check out our Free PDF and Conference
Files link on our homepage. Explore and download these fun FREE math
games. Look for Kim Sutton's new game "Dogs Digging For Bones". Please
enjoy and forward this link to your friends. Click Here
Education World
Math Facts Race
A fun math race reinforces math facts in a very visual way. Math (Grades
K-8)
Math Madness
Review computation skills with this small-group game. Math (Grades K-12)
Challenging math puzzlers to practice skills: Sudoku Puzzles
For painless math practice, check out our collection of Box Cars and OneEyed Jacks – Math Games.
The Math Machine: Long Line o' Math Cats
Math Skills: addition; subtraction; multiplication; division;
problem solving (Grades 5-12)
The Math Machine: Cookie Dough
Math Skills: spelling number words; converting number
words to digits; place value (Grades K-5)
Kids Look Forward to Calendar Time
In one second-grade class, calendar time is used to enrich math and
language arts, maintaining students' attention during what some had
considered a dull routine.
Futures Channel
Movie of the Week
Backpack Designer Relies on Measurement & Geometry
An essential part of any student’s gear is a good backpack. But
have your students ever stopped to think about who designs them and
how? Introduce them to Columbia Sportswear Designer Chris Araujio.
Whether he is measuring the shoulder straps for comfort, calculating
the backpack's volume, or designing the shape of the front pouch,
math is critical to a good design. Watch the movie and download the
The Yukon Education Friday Math Snippet is compiled by Ms. Paula Thompson, Mathematics Consultant.
classroom activity here: http://www.thefutureschannel.com/dockets/
realworld/designing_backpacks
What is an Industrial Designer?
The result of their work is all around us in practically every
product we use, but how many students recognize that this is a
rewarding, creative career field that will always be in demand?
Introduce your students to Hilgard Muller, the Industrial Design
Manager at Giro responsible for designing an entire line of sportperformance sunglasses, and give them an inside look at what
Industrial Design is all about. This video also features a companion
classroom activity that puts students in role of industrial designers
who need to combine design with geometry and statistics to create
new wristwatch styles.
Watch the movie and download the classroom activity here:
http://www.thefutureschannel.com/dockets/realworld/
industrial_designer
Also Playing
Dancing With Geometry http://www.thefutureschannel.com/dockets/
realworld/dancing/index.php
Space Architecture http://www.thefutureschannel.com/dockets/handson_math/space_architecture/index.php
Roller Coasters http://www.thefutureschannel.com/dockets/algebra/
roller_coasters/index.php
An Engineer and Her Robot http://www.thefutureschannel.com/
dockets/algebra/an_engineer_and_her_robot/index.php
The Salt Marsh Ecosystem
http://thefutureschannel.com/dockets/insights/salt_marsh/index.php
100 000 Computers a Day
http://thefutureschannel.com/dockets/hands-on_math/dell/index.php
The Head Chef http://thefutureschannel.com/dockets/hands-on_math/
the_head_chef/index.php
Flying on Mars http://thefutureschannel.com/dockets/space/
flying_on_mars/index.php
The Yukon Education Friday Math Snippet is compiled by Ms. Paula Thompson, Mathematics Consultant.
FREE Cyberchase Bookmarks
The Cyber-team is eager to share the new website with you! To
celebrate, we have made a bookmark commemorating the new
site (available while supplies last) for your students, audiences or
members. If you would like to receive free bookmarks, along with
some other cyber-goodies, submit a request here.
NCTM
There's a FREE App for That!
The fun on Illuminations can now be held in the palm of your hand.
Challenge your students, or even yourself, to a game of Okta's Rescue or
Concentration, both available from the Android Market and Apple App Store.
In Okta's Rescue [iPhone App] [Android App] players save Okta and his
friends by transporting them to a safe ocean. Students will quickly learn how
to maximize their heroic efforts by subitizing.
In Concentration [iPhone App] [Android App], students match whole
numbers, shapes, fractions or multiplication facts to equivalent
representations.
Play both today!
Highlighted Lesson: The Next Billion
Is it feeling a little crowded in here, or is it just us? This week, the UN
predicted the world population had reached 7 billion.
The Yukon Education Friday Math Snippet is compiled by Ms. Paula Thompson, Mathematics Consultant.
In The Next Billion, students try to predict when we will surpass 8 billion.
Throughout the lesson, students discuss the reliability of their predictions,
compare them to past trends and discuss social factors that affect population
growth. View Lesson Now
Brainteaser
You may need to grab a box of crayons to help you color in the answer to
this brainteaser. The solution will be posted to our "NCTM Illuminations"
Facebook page.
PBS Teachers
Digital Resources
PBS LearningMedia
"Education is not the filling of a pail, but the lighting of a fire.” (W.B. Yeats)
Strike a match with PBSLearningMedia.org! With thousands of free digital
resources including videos, interactives, audios and more, teachers can
search, tag, and save classroom-ready content for every major subject.
Access is free!
Big Sale, Grade 7
Using proportions can really add up! Students determine the better deal by
calculating cost per ounce. Enter the interactive grocery store and practice
this real-life math skill.
http://www.pbslearningmedia.org/content/
4f5b0540-485c-4abc-8f73-7430563d83a8/
How Many Jelly Beans?, Grades 3-6
Estimation turns tasty with this quick clip. Rather than count out her jelly
beans one by one, Inez decides to estimate to see if she has enough for her
cookies. Watch how she does it.
http://www.pbslearningmedia.org/content/
vtl07.math.number.ope.jellybeans/
New & Noteworthy
Design Squad Nation: Build Big Competition Results
Design Squad Nation recently challenged viewers to choose an activity from
the DSN website and SUPER SIZE it in a Build Big Competition! Watch some
of the amazing submissions and be inspired to build your own BIG design.
http://pbskids.org/designsquad/contest/index.html
Cyberchase
The Cyberchase website recently relaunched with all 94 episodes, hundreds
of video clips including in-video gaming, engaging math games, and fun
The Yukon Education Friday Math Snippet is compiled by Ms. Paula Thompson, Mathematics Consultant.
printable activities. Find student resources http://pbskids.org/cyberchase/ or
explore lesson plans and thematic units http://www.pbs.org/teachers/
cyberchase/. Cyberchase brings math to life for early elementary.
Raising Children Who Can Do Math—and
Like It!
Our latest tips appear in NCTM’s new
publication, Adding Math, Subtracting
Tension: A Guide to Raising Children Who
Can Do Math, Prekindergarten-Grade 2. This
book is written for teachers, parents, and
caregivers of young children and features
activities and videos to help raise children
who can succeed in math. It also addresses
parents’ concerns that they did not do well in
math and illustrates how they can help their children regardless of their own
shortcomings in the subject.
Consider the following tips:
•
Knowing a lot of math is not necessary; you can learn with your child.
•
Listening is more important than explaining what to do.
•
Children are eager for parents’ attention, so give it—with math.
Promethean Planet
Desmos Graphing Calculator
Desmos has built the the best browser-based
calculator on the web. It's powerful, beautiful,
intuitive, and best of all FREE!
Join the Group
NEEDED: Algebra
The Yukon Education Friday Math Snippet is compiled by Ms. Paula Thompson, Mathematics Consultant.
Calling all resources! If you have some spectacular resources — lesson
plans, projects, lessons, or media assets — send them in and they could be
included in an upcoming theme. Submit Yours
The Polygon Creature Project
by Carey Bonifas
Grades 2 - 5
Using a Graph to Find Area
by Science Stuff
Grades 7-10
The Yukon Education Friday Math Snippet is compiled by Ms. Paula Thompson, Mathematics Consultant.
Fractions, Decimal, Expanded Form Winter Activity
Bundle
by Lisa Blagus
Grades 4 - 8
SOLVE IT! November Math Logic Problems Using the
100-number Board
by Create ’n Time
Grades 5 - 8
Food Label Reading Lesson + PwrPt: Is This Product
Healthy?
by Mrs. S.
Grades 9 - 12
Webbits
Assessment in Math and Science: What's the
Point? http://www.learner.org/resources/series93.html
Why do we elect to assess students at various points in their
educational journey? Students frequently ask, "Will this be on the test?" and
"Is this going to count?", and they have a right to know. This provocative
and thoughtful series from the Annenberg Media group was designed to help
a range of groups and people learn how "teachers deal with common issues
and discover ways to use assessment to improve teaching and learning."
Yukon Education
The Yukon Education Friday Math Snippet is compiled by Ms. Paula Thompson, Mathematics Consultant.
http://www.beqrious.com/show/how-it-works for even more info.
How it Works
QR codes, or quick response codes, is a type of 2D bar code that may
be decoded using your smartphone with a QR code reader. From being
a tracking mechanism for auto parts, QR codes have proven to be very
useful in marketing and convenience related applications that is more
suitable for smartphone users. In the recent months, we have seen QR
codes show up on marketing materials such as movie posters,
promotional posters for various products, billboards, flyers, among
other things. These have also been seen on newspaper ads, business
cards, artwork, and other everyday things.
There are two main things that you have to have when you deal with
QR codes:
1. A mobile phone with a camera and Internet connectivity
2. A QR code reader
Where do I get a QR code reader?
Most smartphones coming out nowadays have a QR code reader already
installed. For some, you would need to download the reader and install
it yourself.
Note that you would have to check on the compatibility of these readers
with your phones as some readers work only on iPhones or Android
phones. There are readers that work on the Symbian OS found on Nokia
phones and Java found on lower end smart phones.
How do you scan the QR code?
After you have you have your reader installed, fire up the application
and snap a picture of the QR code. Make sure that your hand is steady
and that you are able to include the whole code into the picture. There
will be some instances when the scan would fail, do not worry, just keep
on snapping.
The Yukon Education Friday Math Snippet is compiled by Ms. Paula Thompson, Mathematics Consultant.
E-mail me at Paula.Thompson@yesnet.yk.ca for a QR code that will bring
you straight to the most recent wiki changes for the grade level(s) that you
teach.
Here is the QR code for the most recent changes to the Yukon Education
Mathematics wiki:
Paula’s Google Reader Shared Items are updated regularly and can be found
@ http://www.google.com/reader/shared/05420480822245506949.
E-mail me at Paula.Thompson@yesnet.yk.ca for a QR code that will bring
you straight to my shared items.
For the archived weekly snippets, go to http://yukon-educationmathematics.wikispaces.com/#Friday%20Math%20Snippets.
•
To include an item in the weekly snippet, e-mail
Paula.Thompson@yesnet.yk.ca @ any time.
•
E-mail me at Paula.Thompson@yesnet.yk.ca for a QR code that will
bring you straight to the archived weekly snippets.
For the archived monthly newsletters, go to http://yukon-educationmathematics.wikispaces.com/Yukon+Education+Mathematics+Newsletters.
•
To include an item in the monthly newsletter, e-mail
Paula.Thompson@yesnet.yk.ca @ any time.
•
E-mail me at Paula.Thompson@yesnet.yk.ca for a QR code that will
bring you straight to the archived newsletters.
For the archived YTA (math) notes, go to http://yukon-educationmathematics.wikispaces.com/YTA+Math+Notes.
The Yukon Education Friday Math Snippet is compiled by Ms. Paula Thompson, Mathematics Consultant.
•
To include an item in the YTA (math) notes, e-mail
Paula.Thompson@yesnet.yk.ca @ any time.
Check out the Yukon Education wikis. You do not have to be a member of the
wiki to see what is there and to download resources that are of interest to
you. Consider joining the wiki to begin adding your own content and to take
part in discussions. Here they are:
www.yukon-education-mathematics.wikispaces.com
www.yukon-ed-mathematics-pd.wikispaces.com
www.yukon-mathematics-assessment.wikispaces.com
www.yukon-math-differentiated-instruction.wikispaces.com
www.yukon-ed-show-me-your-math.wikispaces.com
www.yukon-ed-virtual-math-arcade.wikispaces.com
www.yukon-ed-math-kindergarten.wikispaces.com
www.yukon-education-math-grade-1.wikispaces.com
www.yukon-education-math-grade-2.wikispaces.com
www.yukon-education-math-grade-3.wikispaces.com
www.yukon-education-math-grade-4.wikispaces.com
www.yukon-education-math-grade-5.wikispaces.com
www.yukon-education-math-grade-6.wikispaces.com
www.yukon-education-math-grade-7.wikispaces.com
www.yukon-education-math-grade-8.wikispaces.com
www.yukon-education-math-grade-9.wikispaces.com
www.yukon-education-math-grade-10.wikispaces.com
www.yukon-education-math-grade-11.wikispaces.com
www.yukon-education-math-grade-12.wikispaces.com
www.yukon-education-calculus.wikispaces.com
Consider following me on Twitter or Facebook! (@pkathompson or
Paula Thompson)
Check out the Yukon Education Mathematics blog @ http://yukoneducation-mathematics-blog.blogspot.com/
The Yukon Education Friday Math Snippet is compiled by Ms. Paula Thompson, Mathematics Consultant.
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MathWorks 12 preview
Hello Teachers,
For students entering the trades or directly
into the workforce, Workplace and
Apprenticeship Math 12 provides an
excellent grounding in the math skills they
will need after graduation. Teachers who
will be teaching W&A Math 12 now have a
chance to preview a sample chapter from
the MathWorks 12 Student Resource and
Teacher Resource on our website.
Here you'll also find the MathWorks 12
brochure which lists all of the Math 12
resources and the key features of the main
Student Resource.
In January 2012 we will begin mailing out evaluation copies of the MathWorks
12 Student Resource. Email pep.sales@ubc.ca to make sure your name is
down for a copy, last year these went fast!
You'll be pleased to know that the MathWorks 12 Workbook and Test Bank will
be available in June 2012, along with all of the other resources. Watch for
sample chapters from these on our website in the spring.
NEW: All MathWorks 10 and 11 resources previewed
And in case you're wondering what the MathWorks 11 Test Bank looks like, or
are trying to decide whether you should purchase a Teacher Resource for
MathWorks 10 or a set of Workbooks for MathWorks 11, we now have sample
chapters of all MathWorks 10 and MathWorks 11 resources on our website.
Here's a tip: many teachers find that combining the discussion opportunities,
projects and hands-on activities in the Student Resource with further questions
from the Workbook and Test Bank leads to student success. (Please note that
these sample chapters replace the MathWorks files that were previously on our
website).
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MathWorks 11 Test Bank update
Many of you will be glad to hear that we are on track to have the MathWorks 11
ExamView Test Bank available in mid-December.
Congratulations!
And finally, congratulations to Lance Gyte from Athabasca who won a $50
Starbucks voucher for joining our MathWorks mailing list!
For schools orders, click here.
If you are in Alberta, order from the Learning Resource Centre here.
If you are in Manitoba, order from the Manitoba Textbook Bureau here.
Do you know someone who would benefit from this news?
Please forward this email to others who are teaching the course.
Questions or Comments?
We are always interested in hearing your comments and answering your
queries. Please drop us a note at pep.sales@ubc.ca
Visit the MathWorks 12 website here.
Pacific Educational Press is the publishing house of the Faculty of
Education at the University of British Columbia. We have been
publishing books and media for educators since 1971. The press
publishes core and supplementary school textbooks, teacher
education textbooks, and professional resources for practising
teachers.
Sincerely,
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Phil Stenfors-Hayes
Sales and Marketing Manager
Pacific Educational Press
Faculty of Education
University of British Columbia
411-2389 Health Sciences Mall
Vancouver BC V6T 1Z3
604.822.9499
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PBS Kids - Cyberchase Lucky Star Math Game
Downloads
1,851
Recommend this resource
34
Designed for grades 3-5, the Cyberchase Lucky Star game show
challenges kids to compete for top scores while building important math
skills. This package also includes images so you can construct your own
activities using the characters from Cyberchase, the popular PBS KIDS
GO!(R) math series. The Cyberchase Lucky Star game is installed into the
My Content section of SMART Notebook Gallery.
Resource type: Gallery Collection
Subject: Mathematics
Grade: Grade 3, Grade 4, Grade 5
Authored by: PBS Kids
Date submitted: July 6, 2010
Search terms: Number and operations, Measurement, Geometry, Algebraic thinking,
Lucky Star, PBS Kids, Cyberchase
Download
119.92 MB
Note: By using any resource from this site, you are agreeing to these Terms.
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Submit Feedback
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Name__________________________________ Date______________
10-Year-Old Owns Her Own Business
You don’t need to ask
10-year-old Cecilia
Cassini what she wants
to be when she grows up.
She’s already doing it.
Cecilia runs her own
business. She designs
clothes for kids and teens.
Several stores in Los
Angeles, California, sell
her designs. People from
all over the world also
order her clothes.
What an impressive girl!
Cecilia started making new
outfits from her sister’s
hand-me-down clothes
when she was six. She still
recycles used clothes in
her designs.
In 2009, she started
selling her designs and
has been in business ever
since. She said she loves
it so much, it doesn’t feel
like work.
Activity – Math for YOUR Business
1. If a worker in your business gets $4 per hour, how much will they receive for two
hours of work?
2. A shirt is $3 and I sold 3 shirts. How much money did I make by selling shirts?
3. Business people need to add up the costs of the things they buy and sell.
Calculate the following problems.
78
+ 21
2011 TeachHUB.com. All rights reserved.
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+ 33
56
+ 34
88
+11
LearnNowBC Parent Newsletter - Fall 2011
http://www.learnnowbc.ca/Newsletters/Newsletter11191001.aspx
Fall 2011
Dear Parents.
This is the first quarterly Parent Newsletter from LearnNowBC.
In this first edition, we’d like to introduce LearnNowBC and some of the great free
services we offer.
As a parent interested in Distributed Learning (DL) either for yourself or a child,
we hope you find LearnNowBC a useful and easy-to-use resource.
Free Onling Tutoring: Students and Parents can watch streaming video lessons
on dozens of topics, take practice exams to find out where you need help, and
even talk with a live online tutor - all free of charge.
The Homework Help resources are offered to subscribing school districts and
offer an incredible depth of options...far too much to list here.
The Learning Resources have been professionally developed and are great for
supplementing classroom work, general interest or learning a new language.
We invite you to take a look around and explore.
Whether you are planning to enrol in post-secondary education, need a high
school diploma for work, or just for your own satisfaction, LearnNowBC has the
tools you need to succeed.
1 of 3
11-11-09 5:48 PM
LearnNowBC Parent Newsletter - Fall 2011
http://www.learnnowbc.ca/Newsletters/Newsletter11191001.aspx
We have a comprehensive index of all of the DL schools and courses in BC – all
offered free of charge to BC residents – and the knowledgeable professional
academic advisors to help you decide exactly what courses you should take to
earn your high school graduation.
The combination of academic requirements and course options can be dizzying.
We've all been there, and we designed this section to help you make sense of it
all, and to make informed academic decisions.
LearnNowBC’s professional academic advisors can help you with course selection,
understanding prerequisites, graduation planning, post-secondary options and
more.
You can reach them by email academic_advising@learnnowbc.ca or toll-free:
1 888 412 5622 (ext #2)
The LearnNowBC Course Finder is the gateway to over 2500 DL programs and
courses in BC. The Course Finder makes it easy to zero-in on the course you want
based on your requirements.
With helpful course descriptions, school's contact information and a one-step
“Request this Course” feature, we make it as simple as possible to get you in
touch with the school to get you or your children on their way to academic
success.
Designed by early literacy and special needs experts, the Edmark House Series
introduces early learners to reading, math, science, and useful skills like telling
time.
Featuring a highly engaging approach to learning, the program is proven effective
in engaging students and individualizing instruction - building skills that last a
lifetime.
You'll find all this and more in the Young Learning Centre.
We think it's important to be safe online, which includes knowing how to protect
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11-11-09 5:48 PM
LearnNowBC Parent Newsletter - Fall 2011
http://www.learnnowbc.ca/Newsletters/Newsletter11191001.aspx
your privacy and how to use some of the more popular online and social
networking sites. Technology guru Steve Dotto presents these and other topics in
a clear and concise way in the CyberSafe with Steve Dotto series of videos.
Of even greater importance, in our opinion, is maintaining a healthy body and
mind. There are some great resources for getting and staying fit, eating right and
avoiding substances - both legal and illegal - that can harm you.
Check out the LearnNowBC Safety Centre.
Links:
Don't forget, if you don't have a LearnNowBC Parent account, you can get
one free right here.
The DPA Tracker Educator Module helps students track DPA Logs.
Browse through the Learning Resource Repository for free Learning
Objects to use in the classroom or at home. Resources available in these
subject areas: English, French, Korean, Health & Career Education,
Mathematics, Punjabi, Sciences, Social Studies, and Spanish.
Browse through the Homework Help websites - helpful websites for
students, including:
CBC News in Review
Gale Publishing Resources
Passport to the Internet
EBSCO Resources
World Book Web
Encyclopedia of BC
The LearnNowBC Team
© 2011 Virtual School Society.
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11-11-09 5:48 PM
This brainteaser was written by Derrick Niederman. Below is one possible coloring of a 2 × 2 square using only red and blue. Each of the four smaller squares can be colored either red or blue, but two colorings are considered identical if one can be rotated to match the other. How many distinct colorings are there? Resources for Teaching Math
© 2009 National Council of Teachers of Mathematics, Inc.
http://illuminations.nctm.org
WWW.C E M C .U WAT E R LO O.C A | T h e C E N T R E fo r E D U C AT I O N i n M AT H E M AT I C S a n d CO M P U T I N G
Problem of the Week
Grade 11 and 12
Five Prime Mates
The product of five different odd prime numbers is a five-digit number of the
form strst, where r = 0.
Determine all possible numbers.
See the next page for a summary of divisibility tests for the integers 2 to 12.
WWW.C E M C .U WAT E R LO O.C A | T h e C E N T R E fo r E D U C AT I O N i n M AT H E M AT I C S a n d CO M P U T I N G
Divisibility Tests
Divisibility by 2: A number is divisible by 2 if the last digit is even.
Divisibility by 3: A number is divisible by 3 if the sum of the digits is divisible by 3. For example, 1295 is not
divisible by 3 since 1 + 2 + 9 + 5 = 17 which is not divisible by 3. However, 1296 is divisible by 3 since
1 + 2 + 9 + 6 = 18 which is divisible by 3.
Divisibility by 4: A number is divisible by 4 if the last two digits are divisible by 4. For example, 1295 is not
divisible by 4 since 95 is not divisible by 4. However, 1296 is divisible by 4 since 96 is divisible by 4.
Divisibility by 5: A number is divisible by 5 if the last digit is a 0 or 5.
Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3. The number 395 is not divisible
by 6 since it is not even and hence is not divisible by 2. The number 862 is not divisible by 6 since it is not
divisible by 3 (8 + 6 + 2 = 16 which is not divisible by 3). The number 2964 is divisible by 6. It is even and is
therefore divisible by 2. It is divisible by 3 since 2 + 9 + 6 + 4 = 21 which is divisible by 3. Since 2964 is
divisible by both 2 and 3, it is divisible by 6.
Divisibility by 7: We can follow an unusual algorithm to determine if an number is divisible by 7: Remove
the unit’s digit, double that digit and subtract it from the leftover number. If the difference is divisible by 7,
the original number is divisible by seven. If unsure, repeat the algorithm with the new number.
Is 1356 divisible by 7? Remove the 6, double the 6 to 12, subtract from 135 leaving 123. Is 123 divisible by 7?
Remove the 3, double the 3 to 6, subtract from 12 leaving 6. 6 is not divisible by 7 and therefore 1356 is not
divisible by 7.
Is 45 024 divisible by 7? Remove the 4, double to 8, subtract from 4502 giving 4494. Repeat. Remove the 4,
double to 8, subtract from 449 giving 441. Repeat. Remove the 1, double to 2, subtract from 44 giving 42
which is divisible by 7. Therefore, 45 024 is divisible by 7.
Divisibility by 8: A number is divisible by 8 if the last three digits are divisible by 8. For example, 1295 is
not divisible by 8 since 295 is not divisible by 8. However, 1296 is divisible by 8 since 296 is divisible by 8.
Divisibility by 9: A number is divisible by 9 if the sum of the digits is divisible by 9. For example, 1295 is not
divisible by 9 since 1 + 2 + 9 + 5 = 17 which is not divisible by 9. However, 1296 is divisible by 9 since
1 + 2 + 9 + 6 = 18 which is divisible by 9.
Divisibility by 10: A number is divisible by 10 if the last digit is a 0.
Divisibility by 11: We can follow an unusual algorithm to determine if an number is divisible by 11: Add the
numbers in the even positions. Add the numbers in the odd positions. Subtract the two sums. If this difference
is divisible by 11, the original number is divisible by 11.
Is 1 235 862 divisible by 11? The sums are 1 + 3 + 8 + 2 = 14 and 2 + 5 + 6 = 13. The difference of the sums is
1, which is not divisible by 11. Therefore, the number 1 235 862 is not divisible by 11.
Is 4 151 617 151 divisible by 11? The sums are 1 + 1 + 1 + 1 + 1 = 5 and 4 + 5 + 6 + 7 + 5 = 27. The difference
of the sums is −22, which is divisible by 11. Therefore, the number 4 151 617 151 is divisible by 11.
Is 7 326 495 divisible by 11? The sums are 7 + 2 + 4 + 5 = 18 and 3 + 6 + 9 = 18. The difference of the sums is
0, which is divisible by 11. Therefore, the number 7 326 495 is divisible by 11.
Divisibility by 12: A number is divisible by 12 if it is divisible by 4 and 3. The number 394 is not divisible by
12 since 94 is not divisible by 4. The number 964 is not divisible by 12 since it is not divisible by 3. (The sum
of the digits is 19 which is not divisible by 3.) The number 2964 is divisible by 12. The last two digits, 64, are
divisible by 4 and therefore 2964 is divisible by 4. The sum of the digits is 21 which is divisible by 3. Since 2964
is divisible by 4 and 3, it is divisible by 12.