1. Regrouping: Also known as FUNNY NUMBERS! How would you write 5 ones?5 x 1 = 5 How would you write 9 ones? 9 x 1 = 9 How would you write 11 ones? 11 x 1 = 11 How would you write 25 ones?25 x 1 = 25 Anything times “1” is the same number. So 1,000,000 x 1 is still 1,000,000!

2. So the number of ones you have is how much you have! What about tens? How would you write 5 tens? 5 x 10 = 50 How would you write 9 tens? 9 x 10 = 90 How would you write 11 tens? 11 x 10 = 110 How would you write 25 tens? 25 x 10 = 250 What is happening?For tens, you add “1” zero.

3. So, for tens, you add “1” zero. What happens with hundreds? How would you write 2 hundreds? 2 x 100 = 200 How would you write 9 hundreds? 9 x 100 = 900 How would you write 13 hundreds? 13 x 100 = 1300 How would you write 19 hundreds? 19 x 100 = 1900 What is happening? For hundreds, you add “2” zeros.

4. So, for tens, you add “1” zero. And for hundreds, you add “2” zeros. What about thousands? How would you write 4 thousands? 4 x 1000 = 4000 How would you write 7 thousands? 7 x 1000 = 7000 How would you write 11 thousands? 11 x 1000 = 11000 How would you write 19 thousands? 19 x 1000 = 19000 What is happening? For thousands, you add “3” zeros.

5. For ones, So, for tens, you add And for hundreds, you add For thousands, you add Let’s review… “1” zero. “2” zeros. “3” zeros. the number of ones is the number.

6. Let’s try a problem together. What means the same thing as 5 tens and 11 ones? Hmm… 5 tens means 50 and 11 ones means 11. So, I just add 50 + 11. And that equals 61. My conclusion is that 5 tens and 11 ones means the same thing as 61.

7. Let’s try another. What means the same thing as 12 tens and 17 ones? Hmm… 12 tens means _____ and 17 ones means _____. So, I just add ____ + _____. And that equals _____. 12017 12017137

8. What about this? What means the same thing as 15 hundreds, 18 tens, 12 ones? Hmm… 15 hundreds means _____ and 18 tens means _____ And 12 ones means ______. So, I just add ____ + _____ + _____. And that equals _____. 1500180 1500180 1692 12

9. What about this? What means the same thing as 6 thousands, 15 hundreds, 18 tens, 12 ones? Let’s see… 6 thousands means _________ 15 hundreds means ______ 18 tens means ______ 12 ones means ______. So, I just add ______ + ______ + ______ + ______. And that equals _______. 6000 180 1500 180 600012 1500 7692

10. Try this! What means the same thing as 8 thousands, 16 hundreds, 16 tens, 16 ones? Let’s see… 8 thousands means _________ 16 hundreds means ______ 16 tens means ______ 16 ones means ______. So, I just add ______ + ______ + ______ + ______. And that equals _______. 8000 160 1600 160 800016 1600 9776

11. 6 thousands means _________ 14 hundreds means ______ 12 tens means ______ 9 ones means ______. 6000 1400 120 9 Now let’s switch gears! What means the same as 6,429 ? I have to work through ALL of the following problems! That adds up to 7,529. Nope! 5 thousands means _________ 13 hundreds means ______ 11 tens means ______ 19 ones means ______. 5000 1300 110 19 That adds up to 6,429. Bingo!! 5 thousands means _________ 14 hundreds means ______ 12 tens means ______ 19 ones means ______. 5000 1400 120 19 That adds up to 6,539. Nope! 6 thousands means _________ 14 hundreds means ______ 12 tens means ______ 19 ones means ______. 6000 1400 120 19 That adds up to 7,539. Nope! A. B. C. D.

12. 9 thousands means _________ 14 hundreds means ______ 15 tens means ______ 14 ones means ______. 9000 1400 150 14 Here we go again! What means the same as 9,584 ? I have to work through ALL of the following problems! That adds up to 10,564. No way! 9 thousands means _________ 13 hundreds means ______ 17 tens means ______ 14 ones means ______. 9000 1300 170 14 That adds up to 10,484. Nope!! 8 thousands means _________ 15 hundreds means ______ 18 tens means ______ 19 ones means ______. 8000 1500 180 19 That adds up to 9,684. Close, but no! 8 thousands means _________ 14 hundreds means ______ 17 tens means ______ 14 ones means ______. 8000 1400 170 14 That adds up to 9,584. Yippee! A. B. C. D.

13. Problem 1 Which means the same as 8,765? Do this problem on a piece of paper. A.8 thousands + 7 hundreds + 16 tens + 15 ones B.8 thousands + 17 hundreds + 6 tens + 5 ones C.8 thousands + 6 hundreds + 15 tens + 15 ones D.7 thousands + 17 hundreds + 15 tens + 16 ones 8000 + 700 + 160 + 15 = 8,865 8000 + 1700 + 60 + 5 = 9,765 8000 + 600 + 150 + 15 = 8,765 7000 + 1700 + 150 + 16 = 8,866

14. Problem 2 Which means the same as 4,321? Do this problem on a piece of paper. A.4 thousands + 3 hundreds + 12 tens + 11 ones B.3 thousands + 3 hundreds + 12 tens + 1 one C.3 thousands + 13 hundreds + 11 tens + 11 ones D.3 thousands + 12 hundreds + 11 tens + 11 ones 4000 + 300 + 120 + 11 = 4,431 3000 + 300 + 120 + 1 = 3,421 3000 + 1300 + 110 + 11 = 4,421 3000 + 1200 + 110 + 11 = 4,321

15. Problem 3 Which means the same as 2,468? Do this problem on a piece of paper. A.2 thousands + 4 hundreds + 6 tens + 18 ones B.1 thousand + 13 hundreds + 15 tens + 18 ones C.1 thousand + 14 hundreds + 15 tens + 18 ones D.2 thousands + 13 hundreds + 15 tens + 18 ones 2000 + 400 + 60 + 18 = 2,478 1000 + 1300 + 150 + 18 = 2,468 1000 + 1400 + 150 + 18 = 2,568 2000 + 1300 + 150 + 18 = 3,468

16. When you see a problem like this, REMEMBER to work out each problem to find one that matches the given number! Perseverance is the KEY!