Naming Large Numbers

1. Naming Large Numbers Let the humongosity begin!

2. Counting isn’t enough • As you may have already heard, ancient people would make marks to stand for the amounts of things. | | | | • That’s fine for a few things… but when you see | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | then understanding how much you have is a challenge.

3. Voila! The Decimal number system  • We recycle the same ten symbols – but they’re worth more in a different position, in the same way that a ten dollar bill is worth more than a 1 dollar bill, even if the piece of paper is the same size. • This is the slide show for people who already know how to name numbers up to 1000. If you want to review that, go to the first slide show in this set, 094NamingSmallNumbers .

4. The “thousands” family. The fourth, fifth and sixth places in a decimal number stand for “thousands.” 1,000 is one thousand. The three digits afterward mean that these digits don’t just stand for one puny thing – one goldfish, one bicycle or one sweaty sock – but they stand for a group of one thousand of whatever you’re counting. Thus, 6,000 means six *thousand* sweaty socks or goldfish.

5. 20 rolls of 50 pennies (50 x 20)1000 pennies (http://kokogiak.com/megapenny/default.asp )

6. One thousand pennies (5 columns, 5 rows, 40 pennies in each stack… 25 x 40 or 5 x 200; either way…

7. (http://kokogiak.com/megapenny/default.asp ) If you want to see more pictures of lots and lots of things… http://wehrintheworld.blogspot.com/2009/02/visualizing-billions.html

8. Enough distraction already! The names, the names! So… the numbers in the fourth fifth and sixth places are in the Thousand group. We can name that clump as if it were its own number, and then add “thousand” to it to show we’re really talking about something a thousand times as big. In “proper math grammar,” we do not say “and,” since that’s reserved for adding things *less* than one (“one and a half” pounds or “one and 3 tenths of a mile”) 6,000 = six thousand

9. 2,000 = two thousand 12,000 = twelve thousand 56,000= fifty-six thousand 100,000 = one hundred thousand’ 232,000 = two hundred thirty two thousand Read the smaller number in front of the comma, then add “thousand” to show how much it is worth based on its position.

10. Watch for zeroes! • 208,000 = Two hundred eight thousand. There aren’t any tens… but we don’t say it. We still have to put that amount – none – in the space. • Four hundred six thousand = 406,000

11. Your turn! Write these out in words. 34,000 ________________________ 8,000 __________________________ 18,000___________________________ 111,000_______________________________ 408,000 _______________________________

12. 34,000 thirty-four thousand 8,000 eight thousand 18,000 eighteen thousand 111,000 one hundred eleven thousand * 408,000 four hundred eight thousand * *leave out the “and” even if you thought it 

13. Write these as numbers • Three hundred twenty-one thousand • Fifty-six thousand • One hundred thousand

14. The answers  • Three hundred twenty-one thousand • 321,000 • Fifty-six thousand • 56,000 • One hundred thousand • 100,000 • … so, you read the digits in front of the comma as if they were the only digits there, then add “thousand” to show they are standing for something a thousand times as big.

15. Okay, what about the millions? 998,000 = nine hundred ninety-eight thousand 999,000 = nine hundred ninety- nine thousand… …. What’s next? 1,000,000 --- a THOUSAND THOUSAND. But that’s not what we call it. Hey, it gets another comma, and its own name. This is what a “million” is all about.

16. This is a what a million looks like.

17. Millions work the same way as thousands; they’re just a thousand times as big as a thousand.. 3,000,000is three million. 147,000,000 is one hundred forty-seven million. Look for patterns  Your turn to try these! Click when you’re ready to check the answers. 14,000,000 _________________ 100,000,000 244,000,000

18. Millions work the same way as thousands; they’re just a thousand times as big. 14,000,000 fourteen million 100,000,000 a hundred million 244,000,000 two hundred forty-four million

19. Try writing numbers for these: • Twelve million • Twenty million • Two hundred twenty-two million

20. Try writing numbers for these: • Twelve million – 12,000,000 • Twenty million – 20,000,000 • Two hundred twenty-two million • 222,000,000

21. Then Billions. Imagine a *thousand* rooms with a million dollar bills in them (like the picture of a million). That’s what a billion would look like. It would take a whole building. In numbers, it looks like this: 1,000,000,000 -- onebillion 345,000,000,000 – three hundred forty-five billion 801,000,000,000 – eight hundred one billion

22. Name these numbers • 45,000,000,000 • 100,000,000,000 • 727,000,000,000

23. Name these numbers • 45,000,000,000Forty-five billion • 100,000,000,000one hundred billion • 727,000,000,000Seven hundred twenty-seven billion

24. Write this as digits • Thirteen billion • Nine hundred ninety nine billion • One hundred eleven billion

25. Write this as digits • Thirteen billion 13,000,000,000 • Nine hundred ninety nine billion 999,000,000,000 • One hundred eleven billion • 111,000,000,000

26. Then TRillions. Imagine a *thousand* buildings with a thousand rooms with a million dollar bills in them (like the picture of a million). That’s what a trillion would look like. It would take a whole block… In numbers, it looks like this: 1,000,000,000,000 -- onetrillion 335,000,000,000,000 – three hundred thirty-five trillion 601,000,000,000,000 – six hundred one trillion

27. Name these: • 3,000,000,000,000 • 17,000,000,000,000 • 111,000,000,000,000 • 532,000,000,000,000 • 901,000,000,000,000

28. Here are their names: • 3,000,000,000,000 three trillion • 17,000,000,000,000 seventeen trillion • 111,000,000,000,000 one hundred eleven trillion • 532,000,000,000,000five hundred thirty-two trillion • 901,000,000,000,000 nine hundred one trillion

29. Write these as digitized numbers • Five hundred sixty-five trillion • Nine trillion • Nine hundred trillion • Six hundred thirty-seven trillion • Two hundred three trillion

30. Write these as digitized numbers • Five hundred sixty-five trillion565,000,000,000,000 • Nine trillion 9,000,000,000,000 • Nine hundred trillion 900,000,000,000,000 • Six hundred thirty-seven trillion 637,000,000,000,000 • Two hundred three trillion 203,000,000,000,000

31. Let’s combine the groups. • Thousands, millions, billions and trillions – let’s mix ‘em up. • You’ll need to figure out two things: • the name of the number that the group would be if it were all by itself • The name of the group to say afterwards… • 56,000,000…. • It’s “fifty-six” --- but with six zeroes afterwards, that makes it fifty-six million.

32. What’s the name of the group?Name these numbers • 413,000,000 • 21,000 • 5,000,000,000 • 101,000 • 65 • 65,000,000,000,000 • 307,000,000 • 91,000,000,000 • 610,000

33. What’s the name of the group?Name these numbers • 413,000,000 four hundred thirteen million • 21,000 twenty-one thousand • 5,000,000,000 five billion • 101,000 one hundred one thousand • 65 sixty-five • 65,000,000,000,000 sixty-five trillion • 307,000,000 three hundred seven million • 91,000,000,000 ninety-one billion • 610,000 six hundred ten thousand

34. Digitize these  • Seventeen billion • Ninety-seven million • Ninety-seven thousand • Two hundred eighty-five million • Two hundred eighty-five billion • Two hundred eighty-five trillion • Eighty-five thousand • Twelve billion

35. Digitize these  • Seventeen billion 17,000,000,000 • Ninety-seven million 97,000,000 • Ninety-seven thousand 97,000 • Two hundred eighty-five million 285,000,000 • Two hundred eighty-five billion 285,000,000,000 • Two hundred eighty-five trillion 285,000,000,000,000 • Eighty-five thousand 85,000 • Twelve billion 12,000,000,000

36. Next up – more significant figures… • Next show will go over how to name large numbers that don’t have a lot of zeroes at the end.