Transcript Place Value

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Place Value
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Numbers in Everyday Life
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Where do we see them?
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What do they represent?
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What do they mean?
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Numbers
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Numbers can be written in three ways:
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1) standard form- standard digits
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2) word form-when a number is written out in words
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3) expanded form- as a sum of the all of the digits’ place values
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Standard Form
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Standard Form- written with digits
45
78
365
1359087
430576
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Word Form
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Word form- when a number is written out in words
Five
five hundred ninety six
one hundred
three thousand
*NOTE: THERE IS NO AND IN WORD FORM UNLESS THERE
ARE DECIMALS
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Expanded Form
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Expanded form- a sum of the all of the digits’ place value
98
We have a 9 in the tens place and an 8 in the ones place
9(10)+8(1)=
90+8=98
19,875
We have a 5 in the ones place, a 7 in the tens place, an 8 in the hundreds place, a
9 in the thousands place, and a 1 in the ten thousands place
1(10,000)+9(1,000)+8(100)+7(10)+5(1)
10,000+9,000+800+70+5=19,875
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Which Form?
57
Three hundred
4(10,000)+6(1,000)+6(100)+3(10)+2(1)
seven hundred ninety-seven thousand nine
two hundred three thousand three
6789362
6( 1,000,000) + 2(100,000) + 6(10,000) + 3( 1,000) + 9 (100) + 8(10) + 1(1)
4(1,000,000) + 3(100,000) + 2(10,000) + 8(1,000) + 8(100) + 3(10) + 4 (1)
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Place Value
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Place value-the value of where the digit is in the number
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Think how many sets!
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Place Value
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When we look at a number we can learn three things about
each digit:
1)
what place value it is
2)
what it means to be in that place value
3)
value of the digit
+ Let’s Practice
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What do we know about the underlined digit?
6754
in the ones place
means there are 4 ones
there is a value of 4
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Lets write the expanded form:
6(1000)+7(100)+5(10)+4(1)
6000+700+50+4
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What do we know about the underlined digit?
6,589,321
in the billions place
there are 6 sets of billions
there is a value of 6 billion
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What do we know about the underlined digit?
2,145
it is in the hundreds place
there is 1 set of a hundred
there is a value of 100
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Lets write the expanded form:
2(1000)+1(100)+4(10)+5(1)
2000+100+40+5
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 What
digit?
do we know about the underlined
6,832
1)
2)
3)
Lets write the expanded form:
+ Let’s Practice
 What
digit?
do we know about the underlined
38,214
1)
2)
3)
Lets write the expanded form:
+ Let’s Practice
 What
digit?
do we know about the underlined
123,965
1)
2)
3)
Lets write the expanded form:
+ Let’s Practice
 What
digit?
do we know about the underlined
421,795,087
1)
2)
3)
Lets write the expanded form:
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You Try
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Provide the information for the underlined digit and then the
expanded form for the number.
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43,205,678
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586
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102,549,873
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Which has a larger value?
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4567 or 6321
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Remember when we think place value we think about how
many sets the digit represents
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The 6 in 6321 has a greater value because 6 is in the
thousands place meaning it has a value of 6,0000 (6x1000)
compared to the 6 in 4567 which is in the tens place and has
a value of 60 (6x10).
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Which has a larger value?
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429589 or 301
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Remember when we think place value we think about how
many sets the digit represents
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The 9 in 429589 has a smaller value because 9 is in the ones
place meaning it has a value of 9 (9x1) compared to the 3 in
301 which is in the hundreds place and has a value of 300
(3x100).
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Which has a larger value
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58,212,367 vs 1,092,850
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197 vs 9928
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284,541 vs 925,755 =
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You try! Which has a larger value
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993,124 vs 831,868
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213, 404,323 vs 226,384
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796,834 vs 914,227
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Practice!
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Using the number sticks, pick 9 numbers. It is up to you and
your partner to place your numbers strategically so you can
make the biggest and smallest numbers possible!
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You must explain how you know the it is the biggest number
and the smallest number possible (expanded form).
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Game Time
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Play against your partner and try to create the biggest
number! Use number sticks to get 6 digits and use those
digits to create your number. On a separate sheet of paper
state who’s number was larger and why.
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Before You Go
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On a piece of paper they need to construct a 9 digit number,
only having one 0. Provide the place, what it means, and the
value of each digit and then write the expanded form of the
number.