Place Value
What is place value?
Place Value: tells us what value
each number has because of
its place, or position, in any number.
Hundreds Tens OnesThousands
How Many?
200 30 5
200 + 30 + 5 235
Hundreds Tens Ones
How Many?
200 + 30 + 7
300 + 20 + 7
700 + 30 + 2
Hundreds Tens Ones
3
Which numeral is in the tens place?
If you said “4,” you were right!
Hundreds Tens Ones
47
4 = 4 tens or 40
6
Which numeral is in the hundreds place?
If you said “6,” you were right!
Hundreds Tens Ones
92
6 = 6 hundreds or 600
What is the standard form of?
4,367 4,367
Standard Form is written using numbers – how we usually see
numbers in the real world.
What is the expanded form of?
4,367 4,000 + 300 + 60 + 7
Expanded Form- is writing out each digits value.
(4*1,000) + (3* 100) + (6*10) + (7*1)or
(4*10³) + (3* 10²) + (6*10) + (7*1)
What is the expanded form of?
56,803 50,000 + 6,000 + 800 + 3
(5*10⁴) + (6* 10³) + (8*10²) + (3*1)
(5*10,000) + (6* 1,000) + (8*100) + (3*1)
What is the expanded form of?
79.503 70+ 9 + .5 + .003
(7*10)+ (9*1) + (5*.1) + (3*.001)
What is the standard form of?
6,823
6,000 + 800 + 20 + 3
What is the word form of?
4,367
four thousand, three hundredsixty-seven
Word Form is writing numbers using words.
What is the word form of?
29.012
Twenty-nine and twelve thousandths
What are the periods of this number?
684,367,671,690,492
Tri
llio
n
Bil
lion
Mil
lion
Tho
usan
d
One
s
How to read large numbers
684,367,671,690,492
Tri
llio
n
Bil
lion
Mil
lion
Tho
usan
d
One
s
Read the numbers before the comma as if you were reading in the one’s column.
Say the period you are in when you get to the comma except for the one’s period.
Read this number
4,371,024
four million, three hundred seventy-one thousand, twenty-four
Read this number
973,104
nine hundred seventy-three thousand, one hundred four
Read this number
384,133,472
three hundred eighty-four million, one hundred thirty-three thousand,
four hundred seventy-two
Read this number
1,874,304,039,270one trillion, eight hundred seventy-four
billion, three hundred four million, thirty-nine thousand, two hundred seventy
Read this number
4,829,905 four million,
eight hundred twenty-nine thousand, nine hundred five
Remember that each period hasthree place values within the period
684,367,671,690,492
Hun
dred
sTe
n s
Tri
llio
nO
nes
Hun
dred
sTe
n s
B
i lli
onO
nes
Hun
dred
sTe
n s
Mi l
lion
One
s
Hun
dred
sTe
n s T
hous
a nd
One
s
Hun
dred
sTe
n s
O
nes
One
s
What place value is the 8 in thisnumber?
4,829,905Place- Hundred thousands
Value- 8 hundred thousandor
800,000
What place value is the 2 in thisnumber?
4,829,105Place -Ten thousandsValue- 20 thousand
or20,000
What place value is the 4 in thisnumber?
4,829,105Place- Millions
Value- 4 Million or
4,000,000
What place value is the 5 in thisnumber?
654,829,103Place- Ten millions
Value- 50 millionor
50,000,000
What is this number in standardform?
Ninety thousand, four hundred
eight90,408
What is this number in standardform?
Seven million, twenty-two thousand, two hundred
7,022,200
What is this number in expandedform?
7,021,500
7,000,000 + 20,000 + 1,000 + 500
What is a decimal?
A decimal is a part of a whole.
One dollar, 4 dimes, and 3 pennies is written in decimal form.
Think about money.
$1.43WHOLE PART
It takes 10 dimes to make 1 dollar, so a
dime is one-tenth of a dollar.
$0.10 = one dime
It takes 100 pennies to make 1 dollar, so a penny is one-hundredth of a dollar.
$0.01 = one penny
Money in Numbers
$ Dollar Sign
Dollar Bill $1.00
Quarter $0.25
Dime $0.10
Nickle $0.05
Penny $0.01
Money is one way we use decimals every day, but decimals are used for more than just money.
Decimals can also be
shown on the place value
chart.
thou
sand
s
hun
dre
ds
tens
ones
tent
hs
hun
dre
dth
s
thou
sand
ths
ten-
thou
sand
ths
Everything to the left of the decimal point is a WHOLE number.
Everything to the right of the decimal point is PART of a whole.
thou
sand
s
hund
reds
tens
ones
tent
hs
hund
redth
s
thou
sand
ths
ten-
thou
sand
ths
1 4
This shows 14 (fourteen) spiders.
thou
sand
s
hund
reds
tens
ones
tent
hs
hund
redth
s
thou
sand
ths
ten-
thou
sand
ths
1 1 5
This shows 115 (one hundred fifteen) candy-corns.
thou
sand
s
hun
dre
ds
tens
ones
tent
hs
hun
dre
dth
s
thou
sand
ths
one hundred thirty
3
-four
4
and seven ten-thousandths
0 0 0 71
Decimals show parts of wholes in divisions of ten.
Decimals can show parts of wholes in divisions of hundreds or thousands.
Now practice writing and saying some decimals.
What portion of the square is green?
What portion of the square is yellow?
0.4 (or four tenths) of the square is green. 0.6 (six tenths) of the square is yellow.
0.4 0.6
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