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The ideas in this place value lesson are taken from the Place Value 3 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.


Numbers till one million
Free lesson plan from HomeschoolMath.net

On this number line you see whole thousands from 1000 (one thousand) till 15,000 (fifteen thousand).
Remember, after 10,000 (ten thousand) we place a comma to separate the ones, tens, and hundreds from the thousands.  If you decide to do so, you can place the comma even in numbers that are less than 10,000 but more than 1000.  Then you would write 5607 (five thousand six hundred seven) as 5,607.

In some countries, instead of comma, a space is used.  So 45,689 would be 45 689, with a little space between 5 and 6.  The purpose is the same, to make the numbers easier to read.  Remember, the comma or the space separates the whole thousands from ones, tens, and hundreds.

We continue counting whole thousands from one thousand (1000) all the way up to 999,000 (nine hundred ninety-nine thousand).  Just like you count numbers from 1 till 999, you can count whole thousands from one thousand till 999 thousand, or from 1000 till 999,000.

After 999 comes thousand, but when counting whole thousands, after 999,000 comes 1,000,000 (one and six zeros), which is called one million.  It is the same as thousand thousands.

Since the comma separates whole thousands from the smaller units, we read first how many thousands there are, and in the place of comma say 'thousand'.  For example, 203,495 is read "two hundred three THOUSAND four hundred ninety-five".


One hundred fifty-three thousand

hundred
thou-
sands
ten
thou-
sands
thou-
sands
hund-
reds
tens ones
1 5 3 ,

0

0 0
Read these three
together as a group

 Read the comma as 'thousand'

Seventeen thousand
five hundred four

hundred
thou-
sands
ten
thou-
sands
thou-
sands
hund-
reds
tens ones
  1 7 ,

5

0 4
Read these three
together as a group
Read these
three as a group 
Read the comma as 'thousand'


Four hundred six thousand
forty-three

4 0 6 ,

0

4 3
Read these three
together as a group

Read these
three as a group'

Read the comma as 'thousand'

Nine hundred eighty thousand
thirty

9 8 0 ,

0

3 0
Read these three
together as a group
Read these
three as a group 
Read the comma as 'thousand'

Seven hundred five thousand
twenty-four

hundred
thou-
sands
ten
thou-
sands
thou-
sands
hund-
reds
tens ones
 7 ,  0

Fifty-five thousand
two hundred forty

hundred
thou-
sands
ten
thou-
sands
thou-
sands
hund-
reds
tens ones
  ,


Example problem types

Write the numbers with numbers.

Six hundred thirty thousand
six

               ,               

Seven hundred six thousand
two hundred thirty

               ,

    

         

Fifteen thousand
four hundred fifty-two

__ __ __ , __ __ __

 Four hundred ten thousand 
six hundred

__ __ __ , __ __ __



2.  Write these numbers in words.

456,098  ___________________________________________________________

78,304  ___________________________________________________________

 

3.  Count and fill in the missing numbers.

27,090,  27,091,  ________, ________, ________, ________, ________, ________, ________

146,587,  146,588,  ________, ________, ________, ________, ________, ________, ________

708,006,  708,007,  ________, ________, ________, ________, ________, ________, ________

99,997,  99,998,  ________, ________, ________, ________, ________, ________, ________

 

4.  Look at the number lines and mark the following numbers (approximately!) there with a little circle.

15,090     15,131     15,678     15,430     15,878     15,923     16,050

 

34,896     34,950     35,254     35,599     35,020     34,631     35,117



5.  Break these numbers down to whole hundred thousands, whole ten thousands, thousands, hundreds, tens, and ones.

49,115 =  __ hundred thousands __ ten thousands  __ thousands
__hundreds __ tens __ ones

=

40,000 + 9000 + 100 + 10 + 5
256,090 =  __ hundred thousands __ ten thousands  __ thousands __
hundreds __ tens __ ones

=

200,000 + 50,000 + 6000 + 90
304,470 =  __ hundred thousands __ ten thousands  __ thousands __
hundreds __ tens __ ones

=

 

6.  Compare.  Write either < or > in between the numbers.

[a]

111,050   <  105,099

264,767      276,777

609,056      690,045

342,577      423,577

[c]

130,659      130,969

367,496      367,482

857,066      857,102

505,677      507,755



7.  Draw a number line from 67,000 till 68,000 with tick marks at every whole hundred.  Mark the following numbers (approximately!) there with a little circle.  Then write them in order from smallest to greatest.

67,030     67,250     67,370     67,510     67,780     67,940     67,049     67,703

______ < ______ < ______ < ______ < ______ < ______ < ______ < ______

 

8.  Adding and subtracting in columns happens exactly the same way.  See how well you can do!

905,091

40,510

29,313

407,616

78,402

13,770

608,781

230,911

65,570
  23,677

 

90,080
  5,025

 

554,600
  128,000

 

600,000
  223,065

 

 


The ideas in this place value lesson are taken from the Place Value 3 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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