Place Value - Study Hall Educational Foundation

th
5
Grade
,
By Monica Yuskaitis
California Standard Addressed
Number
Sense
Fifth
Grade
1.1 Estimate, round, & manipulate
very large…numbers.
Objectives



Be able to read numbers to
billions
Be able to identify the place
value of each digit in numbers
up to one billion
Know how to write a number in
word form
Vocabulary


Digits – numbers 0, 1, 2, 3, 4, 5,
6, 7, 8, 9
Place value – tells you how much
each digit stands for
Vocabulary
Standard form – A number written
with one digit for each place value.
123,789
 Word form – A number written in
words.
One hundred twenty-three thousand,
seven hundred eighty-nine

Vocabulary

Short Word Form – A number written
in both words and numbers. Write
the numbers between the commas
and then write the name of the period
those numbers represent.
3,698,123,789
3 trillion, 698 million, 123 thousand, 789
Vocabulary

Expanded form – A way to write
numbers that shows the place
value of each digit.
100,000 + 20,000 + 3,000 + 700 +
9 = 123, 709
Vocabulary
Ones
Thousand
Million
Periods – A group of 3 places used
for the digits in large numbers.
Periods are usually separated by
commas.
Billion

684,367,671,690,492
The binoculars magnify the otter.
(Trillion, billion, million, thousand,
ones.)
Which period is missing?
Ones
Thousand
Billion
Million
684,367,671,690,492
Which period is missing?
Ones
Million
Billion
Thousand
684,367,671,690,492
Which period is missing?
Ones
Thousand
Million
Billion
Trillion
684,367,671,690,492
Which period is missing?
Thousand
Million
Billion
Ones
684,367,671,690,492
Which period is missing?
Ones
Thousand
Million
Billion
684,367,671,690,492
Ones
Thousand
Million
Billion
What are the periods of this
number?
684,367,671,690,492
Remember that each period has
three place values within the period
684,367,671,690,492
What place is the yellow number in?
hundred billion
684,367,671,690,492
What place is the yellow number in?
ten million
684,367,671,690,492
What place is the yellow number in?
(one) billion
684,367,671,690,492
What place is the yellow number in?
ten thousand
684,367,671,690,492
What place is the yellow number in?
ten billion
684,367,671,690,492
What place is the yellow number in?
(one) million
684,367,671,690,492
What place is the yellow number in?
hundred million
684,367,671,690,492
What place is the yellow number in?
hundred thousand
684,367,671,690,492
What place is the yellow number in?
(one) thousand
684,367,671,690,492
What place is the yellow number in?
(one) trillion
684,367,671,690,492
What place value is the 3 in this
number?
264,789,134
ten
What place value is the 8 in this
number?
4,829,905
hundred thousand
What place value is the 9 in this
number?
4,829,105
thousand
What place value is the 5 in this
number?
654,829,103
ten million
What place value is the 6 in this
number?
654,829,105
hundred million
What place value is the 2 in this
number?
254,789,103
hundred million
What place value is the 3 in this
number?
234,789,104
ten million
What place value is the 7 in this
number?
254,729,103
hundred thousand
What place value is the 4 in this
number?
4,829,105
million
What place value is the 2 in this
number?
4,829,105
ten thousand
How to read large numbers
Ones
Thousand
Million
Billion
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.
684,367,671,690,492
Tip
Do not use “and” when reading whole
numbers. The word “and” will be used
when you are reading numbers with
decimals.
690,492
Six hundred and ninety-thousand,
and four hundred and ninety-two.
Use the short word
form to help you read
large numbers
Read this number
384,133,472
384 million, 133 thousand, 472
three hundred eighty-four million,
one hundred thirty-three thousand,
four hundred seventy-two
Read this number
1,874,304,039,270
1 trillion, 874 billion, 304 million,
39 thousand, 270
one trillion, eight hundred seventyfour billion, three hundred four
million, thirty-nine thousand,
two hundred seventy
Read this number
24,829,905
24 million, 829 thousand, 905
twenty-four million,
eight hundred twenty-nine thousand,
nine hundred five
Read this number
973,104
973 thousand, 104
nine hundred seventy-three
thousand, one hundred four
Read this number
4,371,024
4 million, 371 thousand, 24
four million, three hundred
seventy-one thousand, twenty-four
Read this number
864,371,029
864 million, 371 thousand, 29
eight hundred sixty-four
million, three hundred
seventy-one thousand, twenty-nine
Read this number
36,454,297,004
36 billion, 454 million, 297 thousand, 4
thirty-six billion, four hundred
fifty-four million, two hundred
ninety-seven thousand, four
Read this number
9,356,094,064
9 billion, 356 million, 94 thousand, 64
nine billion, three hundred
fifty-six million,
ninety-four thousand, sixty-four
Review
Standard form – A number written
with one digit for each place value.
123,789
 Word form – A number written in
words.
One hundred twenty-three thousand,
seven hundred eighty-nine

Review

Expanded form – A way to write
numbers that shows the place
value of each digit.
100,000 + 20,000 + 3,000 + 700 +
9 = 123, 709
What is the standard form of?
104,367
104,367
What is the expanded form of?
104,367
100,000 + 4,000 + 300
+ 60 + 7
What is the expanded form of?
9,356,803
9,000,000 + 300,000
+ 50,000 + 6,000 +
800 + 3
What is the standard form of?
200,000,000 + 9,000,000
+ 6,000 + 800 + 20 + 3
209,006,823
What is the word form of?
1,014,367
one million, fourteen thousand,
three hundred sixty-seven
What is this number in standard
form?
ninety thousand,
four hundred eight
90,408
What is this number in standard
form?
seven million, twenty-two
thousand, two hundred
7,022,200
What is this number in expanded
form?
7,021,500
7,000,000 + 20,000 + 1,000 + 500
Credits
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