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!

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.

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.

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.

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.

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.

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 _____.

120 17

120 17 137

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 _____.

1500 180

1500 180

1692

12

12

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

1500180

6000 12

12

1500

7692

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

1600160

8000 16

16

1600

9776

6 thousands means _________ 14 hundreds means ______

12 tens means ______ 9 ones means ______.

60001400

1209

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 ______.

50001300

11019

That adds up to 6,429. Bingo!!

5 thousands means _________ 14 hundreds means ______

12 tens means ______ 19 ones means ______.

5000

140012019

That adds up to 6,539. Nope!

6 thousands means _________ 14 hundreds means ______

12 tens means ______ 19 ones means ______.

60001400

12019

That adds up to 7,539. Nope!

A. B.

C. D.

9 thousands means _________ 14 hundreds means ______

15 tens means ______ 14 ones means ______.

90001400

15014

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 ______.

90001300

17014

That adds up to 10,484. Nope!!

8 thousands means _________ 15 hundreds means ______

18 tens means ______ 19 ones means ______.

8000

150018019

That adds up to 9,684. Close, but no!

8 thousands means _________ 14 hundreds means ______

17 tens means ______ 14 ones means ______.

80001400

17014

That adds up to 9,584. Yippee!

A. B.

C. D.

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

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

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

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!