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The ideas in this place value lesson are taken from the place value ebook that I sell at MathMammoth.com. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

Place value with hundreds 
Free lesson plan from HomeschoolMath.net

Ten ones make a ten-pillar: Ten ten-pillars make ONE HUNDRED:


=          

=

10 ones

=

10

10 tens 

=

100

 

Count the ones, tens, and hundreds and fill in the table.

One hundred
and one

     

1 hundred
0 tens and 1 one

100 + 0 + 1

hundreds tens ones
  

0 1

One hundred
and eleven

   

1 hundred
1 ten and 1 one

100 + 10 + 1

hundreds tens ones
  

1 1

One hundred
and sixteen

  

1 hundred 
1 ten and 6 ones

100 + 10 + 6

hundreds tens ones
  

  

   

One hundred
and fifty-seven

 

1 hundred
__ tens and __ ones

100 + __ + __

hundreds tens ones
  

  

   

One hundred
and seventy-three

 

1 hundred
__ tens and __ ones

100 + __ + __

hundreds tens ones
  

  

   

One hundred
and eighty-eight

 

1 hundred
__ tens and __ ones

100 + __ + __

hundreds tens ones
  

  

   

Two hundred
 

     

2 hundreds 
0 tens  0 ones

200 + 0 + 0

hundreds tens ones
  

0 0

Two hundred four

 
 

2 hundreds
0 tens  4 ones

200 + 0 + 4

hundreds tens ones
  

0 4

Two hundred thirteen

   

2 hundreds
__ tens  __ ones

200 + 10 + 3

hundreds tens ones
  

   

Three hundred
twenty

   

__ hundreds 
and __ ten  __ ones

300 + __ + __

hundreds tens ones
  

  

   

Three hundred
forty-five

   
 
 

__ hundreds
__ tens  __ ones

___ + __ + __

hundreds tens ones
  

  

   

Five hundred six

 

__ hundreds
__ tens  __ ones

___ + __ + __

hundreds tens ones
  

  

   



Practice

1.  Fill in the numbers for these number lines.

 

2.  Break these numbers down to hundreds, tens, and ones.

134 = __hundred __tens __ones

       = 100 + 30 + 4

167 = __hundred __tens __ones

       = 100 + __ + __

158 = __hundred __tens __ones

       = 100 + __ + __

170 = __hundred __tens __ones

       = 100 + __ + __

276 = __ hundreds __ tens __ ones

       = 200 + 60 + 7

867 = __ hundreds __ tens __ ones

       = 100 + __ + __

350 = __ hundreds __ tens __ ones

       = ___ + __ + __

770 = __ hundreds __ tens __ ones

       = ___ + __ + __



3.  Circle the number at the number line that is...

one more than 118 two more than 116 ten more than 108
one more than 134 two more than 102 ten more than 125

[number line picture available in the ebook]

one more than 165 two more than 193 ten more than 164
one less than 167 two less than 190 ten less than 177

[number line picture available in the ebook]

 

4.  What are these broken down numbers?

100 + 30 + 3 =  133

100 + 60 + 5 = ___

100 + 80 + 0 = ___

100 +  0  + 3 = ___

100 +  0  + 9 = ___

100 + 30 = ___

100 + 7 = ___

100 + 50 = ___

100 + 80 + 9 = ___

700 + 30 + 3 =  733

500 + 40 + 5 = ___

5 + 80 + 300 = ___

200 + 40 + 5 = ___

400 +          7 = ___

90 + 300 + 9 = ___

100 + 50 = ___

700 + 8 = ___

60 + 400  = ___

 

5.  Mark on the number line these numbers:  244,  256,  301,  308  299,  245,  255,  262,  223,  211.   Then write the numbers here in order from smallest to greatest:

_____________________________________________________________

[number line available in the ebook]

 

6.  Draw a number line like what you see above from 400 till 500.  In other words, only write the numbers on the ten-posts.  Then mark on your number line these numbers:  413, 498, 460, 402, 455, 416, 436, 468, 486.  Write those numbers here in order from smallest to greatest:

_____________________________________________________________

 

7.  Fill in the number charts. [only one chart shown here]

301

                 
                   
                   
                   
                   
                   
                   
                   
                   
                  400

 

8.  Count by tens.  How can you use the number charts above to help you?

300, 310, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____ 
331, 341, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____
456, 466, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____


9.  Count by fives:

305, 310, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____
____, ____, ____, ____, ____, ____, ____, ____, ____, ____, 400, 405 


10.  Count by twos:

386, 388, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____
479, 481, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____


11.  Circle the amount that is more.  Write the amounts as numbers below.

 
6 hundreds
600
OR
 
5 hundreds
500
2 hundreds 4 tens
 
OR
 
4 hundreds
 
2 hundreds 2 tens
 
OR
 
2 hundreds
 
3 hundreds 8 ones
 
OR
 
8 hundreds 3 ones
 
2 hundreds 7 ones
 
OR
 
2 hundreds 5 tens
 
5 hundreds 5 tens
 
OR
 
5 hundreds 1 ten
 


12.  Fill in this number chart with whole tens.

BEFORE you start, think: 
what will be the LAST number on the chart?

_________

10 20 30 40 50 60       100
110                  
                   
                   
                   
                   
                   
                   
                   
                   

13 b)  How many whole tens are

a) in 50

b) in 90

c) in 130

d) in 200

e) in 250

f) in 550

g) in 780

h) in 1000

 

14.  Fill in a number chart counting with FIVES .

BEFORE you start, think:
what will be the LAST number on the chart?

_________

[This number chart available in the ebook]


15.  What if you have 10 tens, or more?  Remember each 10 tens makes one new hundred.  Write these numbers using the normal way.  You can also use manipulatives, or draw pictures to help.

10 tens 3 ones = 103   
11 tens =
19 tens =
31 tens 9 ones =      
1 hundred 13 tens =
30 tens 8 ones =


16.  Add these amounts.  What do you get?  You can also use manipulatives, or draw pictures to help.
     b)  Afterwards, write each addition sentence using normal numbers too.

7 tens and 8 tens
70 + 80 = 
  = __tens __ones =
  
6 tens 2 ones  and  5 tens

 

  = __tens __ones = 

 

1 hundred 8 tens 2 ones and 5 tens

 

8 tens 9 ones and 7 ones


17.  Add again according to the model  Remember if you have 10 or more tens, they make a hundred.  

 5 tens 0 ones
+ 8 tens 6 ones

13 tens 6 ones

 
 
= 1 hundred 3 tens 6 ones = 136

 5 tens 4 ones
+  1 hundred 8 tens 4 ones

1 hundred 13 tens 8 ones

 
 
= 2 hundreds 3 tens 8 ones = 238

 4 tens 5 ones
+ 8 tens 2 ones

  tens    ones

 

 6 tens 2 ones
+  1 hundred 9 tens 6 ones

hundred    tens    ones

 

 
 

 1 hundred 5 tens 5 ones
+ 1 hundred 6 tens 2 ones

hundreds    tens    ones

 

 1 hundred 9 tens 2 ones
+  1 hundred 6 tens 6 ones

hundreds    tens    ones

 

 
 

 

Next lesson


The ideas in this place value lesson are taken from the place value ebook that I sell at MathMammoth.com. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

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