David M. Schwartz
The amazing, engaging, math exponent
Imagine Earth as a button. I don’t mean you’re going to sew it onto your shirt. But imagine the planet Earth shrunk to the size of a button. (Of course Earth is not flat like a button but we’re giving our shrunken Earth the same diameter as a shirt button.)
Go ahead and draw a circle around a shirt button. Call it “Earth.” Suppose you wanted to draw Jupiter, the largest planet, at the same scale as this micro-Earth. That means you’re going to shrink it to the same fraction of its original size as our button-Earth. What size would little Jupiter be?
One way to find out would be to calculate how many times bigger the real Jupiter is than the real Earth. Earth’s diameter is about 8,000 miles (13,000 kilometers). Jupiter’s is about 88,000 miles (143,000 km). Divide the size of Jupiter by the size of Earth to see that Jupiter is about 11 times bigger.
So, since Jupiter’s diameter is 11 times that of Earth’s, put 11 buttons in a line to show the diameter of Jupiter. Then draw the circle that represents Jupiter. If you don’t have 11 buttons, just look at the picture. Did you think the Earth was a big place? Look at it compared with Jupiter!
But what about the sun? The sun’s diameter is about 865,000 miles (1,400,000 km). That means it’s almost 10 times bigger than Jupiter. Can you find a way to draw a circle 10 times the size of our Jupiter? We’ve drawn part of it for you, on the same scale as our button-sized Earth. On the picture, it’s labeled “our arc.” (An arc is part of a circle.) Looking at the arc, you can imagine the rest of the circle and compare the sun to Jupiter and Earth. A minute ago, you thought Jupiter was big. Now it looks shrimpy compared to the sun!
But is the sun really gigantic? Do some research to find out the size of a red giant star like the strangely named Betelguese (pronounced “beetle-juice.”) Figure out what it looks like compared to our sun, which is a medium-sized star. You may be amazed at the difference. And you thought the sun was big!
Is anything truly big? Is anything truly small? Or does that depend on what it’s being compared to?
Both images are by Marissa Moss, the illustrator of David M Schwartz's book, G is for Googol.
G is for Googol: A Math Alphabet Book is a wonder-filled romp through the world of mathematics.
For more information, click here.
David Schwartz is a member of iNK's Authors on Call and is available for classroom programs through Field Trip Zoom, a terrific technology that requires only a computer, wifi, and a webcam. Click here to find out more.
Schwartz, David M. "If the Earth Were a Button." Nonfiction Minute, iNK Think
Tank, 16 Jan. 2018, www.nonfictionminute.org/the-nonfiction-minute/
David M. Schwartz
The amazing, engaging, math exponent.
Think of a big number. How about one million? It's a thousand thousand. That's a lot. If you counted nonstop to a million, it would take you about 23 days.
A million is small compared to a billion, which is a thousand million. Want to count that high? You'll be at it for 95 years. But a trillion makes a billion look puny. A trillion is a thousand billion (or a million million). Counting that high would take you 200,000 years. Have fun!
Of course trillion is not the biggest number. There's quadrillion, quintillion, sextillion, septillion, octillion, nonillion, decillion and more. Each is a thousand of the previous one. There's even a humongous number called vigintillion, a one with 63 zeros.
But vigintillion is a shrimp compared to a googol. Googol? Notice how it's spelled: G-O-O-G-O-L, not G-O-O-G-L-E. The number googol is a one with a hundred zeros. It got its name from a nine-year old boy. A googol is more than all the hairs in the world. It's more than all the grass blades and all the grains of sand. It's even more than the number of atoms in the universe. Astrophysicists estimate the number of atoms to be a one with 82 zeros. You'd need to add 18 more zeros to get to a googol.
Incidentally, a few years ago, the two men who had invented a powerful new internet search engine decided to name their website and company for the gigantic number googol. But they spelled it wrong. That's why the company Google is spelled with an L-E. But the number googol is still spelled with an O-L.
Googol is so large that it's practically useless, but the boy who named it came up with a name for an even bigger number, "googolplex." A googolplex is a one with a googol zeros. There isn't enough ink in all the pens of the world to write that many zeros but feel free to give it a try.
So is googolplex is the biggest number? What about a googolplex and one? Two googolplex? A googolplex googolplex? Any number you say, I can say one bigger.
I hear you asking, "What about infinity? Isn't that the biggest number?" Sorry, but infinity isn't a number. A number specifies an amount and infinity is no amount. It means "goes on and on forever."
And that's what numbers do. They go on and on forever. Infinity is not a number but numbers are infinite.
Think you're too old for an alphabet book? You'll think again if you check out a sampling from David M. Schwartz's: B is for Binary, F is for Fibonacci, P is for Probability... You can see that this is an ABC book unlike any other. For more information, click here.
David Schwartz is a member of iNK's Authors on Call and is available for classroom programs through FieldTripZoom, a terrific technology that requires only a computer, wifi, and a webcam. Click here to find out more
MLA 8 Citation
Schwartz, David M. "What's the Biggest Number?" Nonfiction Minute, iNK Think Tank, 1 Dec. 2017, www.nonfictionminute.org/ Whats-the-Biggest-Number.
When you think of the Olympics you think of the sports: Speed skating, Bobsled. Snowboarding. Track, Gymnastics. Swimming. Tennis. Just to name a few.
You may even think about some of the Olympians: Snowboarders Shaun White and Kelly Clark. Speed skater Apollo Ohno. Swimmers Michael Phelps and Katie Ledecky. Or even gymnast Simone Biles and sprinter Usain Bolt.
But do you ever think about the science behind each sport? You should. Math and physics play a huge part in every part in the Olympics. Think about it. One of the most basic forces, friction, is a factor in everything an athlete does. What is friction? It’s the force that pushes back on you as you swim through the water or run through the air. Friction not only affects an athlete, but also the object they may be throwing, hitting, or kicking—like a baseball, a tennis ball, or a soccer ball.
Movement of any kind deals with physics of air flow, engineering design, and (unfortunately) sometimes collision. The verdict? Athletes need to know a LOT of science to do well in their sports.
Science is not just found in the activities themselves but also in the equipment they use and clothes they wear. Most of today’s superstar athletes rely on clothing and equipment enhanced with nanotechnology. What is nanotechnology? Nanotechnology is the science of the super small—microscopic even. One nanowire is 1,000 time thinner than a single strand of human hair. Now that is SMALL! Materials made with nanotechnology are stronger, more durable, and yet lighter and more flexible.
Nanotechnology produces swimsuits that allow the athlete to glide through the water faster, golf clubs that hit the ball farther, and tennis rackets that flex more easily to provide the hard smash across the net. This innovative new technology has already been used in the Olympics. In 2008, swimmers Michael Phelps and Natalie Coughlin wore swimsuits that were created with nanofibers. These nanofibers are woven tightly so that the swimmer’s bodies become more streamlined (like a shark!) allowing them to glide through the water faster. In the 2014 winter Olympics, the U.S. speed skaters wore specially created vented suits (like the swimsuits—to reduce drag), and in the 2018 winter Olympics, the USA Snowboarders will be wearing snow gear inspired by the space program.
Nanotechnology is a cutting-edge science that is changing the world of sports—and in particular the Olympics— as we know it. Will you make nanotechnology part of your game?
The LZR Racer is a line of completion swimsuits manufactured by Speedo using a high-technology swimwear fabric. In March 2008, athletes wearing the LZR Racer broke 13 swimming world records. Much like other suits used for high competition racing, LZR Racers allow for better oxygen flow to the muscles, and hold the body in a more hydrodynamic position, while repelling water and increasing flexibility. Kathy Barnstorff via Wikimedia Commons
Serena Williams uses a nanotech racket and Phil Mickelson uses nanotech technology in his game. Seems to be going well for both of them. (l) Wikimedia Commons (R) Photo by Siyi Chen via Wikimedia Commons
A graphic highlighting all of the ways nanotechnology enhances the effectiveness of sports equipment. Nanowerk via Wikimedia
You would have to increase a carbon nanotube x100,000 to make it the size of a strand of hair.
Want to know more? Jennifer Swanson's Super Gear: Nanotechnology and Sports Team Up was listed as one of the 2016 Best STEM Books by the National Science Teachers Association.
Colorfully illustrated by photos, this book introduces "the science of the very small" as applied to sports equipment and clothing.
MLA 8 Citation
Swanson, Jennifer. "The Science Behind the Olympics." Nonfiction Minute, iNK
Think Tank, 7 Feb. 2018, www.nonfictionminute.org/the-nonfiction-minute/
For Vicki Cobb's BLOG (nonfiction book reviews, info on education, more), click here: Vicki's Blog
The NCSS-CBC Notable Social Studies Committee is pleased to inform you
that 30 People Who Changed the World has been selected for Notable Social Studies Trade Books for Young People 2018, a cooperative project of the National Council for the Social Studies (NCSS) & the Children’s Book Council