Place ValuePlace Value

Ms. Cantu

4th grade

Objective:

• You will be able to use place value to read, write, compare, and order whole numbers through 999,999,999 in standard, expanded, and written from.

Vocabulary

• Digits: 0,1,2,3,4,5,6,7,8,9• Numbers: represent the value of something• Periods: groups of three places• Standard form: A way to write numbers (in

words) that shows the place value of each digit.

• Expanded form: A way to write numbers that shows the place value of each digit.

• Written from: A way to write numbers that shows the place value of each digit.

Place ValueTHE VALUE OF A DIGIT DEPENDS ON ITS

PLACE IN A NUMBER.

• Read whole numbers.• Write whole numbers.• Compare

( less than, grater than, equal to)(>,<,=)

• Ordinal numbers.

Reading Large Numbers

• Periods– The digits in large numbers are in groups of

three places (hundreds, tens, and ones places.) The groups are called periods.

Millions Period Thousdands Period Ones Period

Hun

dred

s

Ten

s

One

s

Hun

dred

s

Ten

s

One

s

Hun

dred

s

Ten

s

One

s

Reading Large Numbers2 , 4 6 9 , 6 0 0

hund

red

millio

ns

ten m

illio

ns

millio

ns

, hund

red

thousa

nd

s

ten thousa

nd

s

thousa

nd

s

, hund

red

s

tens

ones

Millions PeriodMillions Period ThousandsThousands

PeriodPeriodOnes Ones

PeriodPeriod

How would you read this number?Start at the left. Read to the first comma. Say the name of the period.

Two million

Read to the second comma. Say the name of the next period.

Four hundred sixty- nine thousand

Read the three- digit number in the ones period. You don’t say the name of the ones period.

Six hundred

Let’s Try 9 1 , 4 0 2 , 6 0 0

hund

red

millio

ns

ten m

illio

ns

millio

ns

, hund

red

thousa

nd

s

ten thousa

nd

s

thousa

nd

s

, hund

red

s

tens

ones

Millions PeriodMillions Period ThousandsThousands

PeriodPeriodOnes Ones

PeriodPeriod

Ninety one million, four hundred two thousand, six hundred.

One more time…

Millions PeriodMillions Period ThousandsThousands

PeriodPeriodOnes Ones

PeriodPeriod

With your seat partner try reading these two numbers.

1 2 , 1 4 5 , 5 8 84 , 3 2 7 , 7 1 2

hund

red

millio

ns

ten m

illio

ns

millio

ns

, hund

red

thousa

nd

s

ten thousa

nd

s

thousa

nd

s

, hund

red

s

tens

ones

Reading Numbers Practice• 4,578

• 65,387

• 876,965

• 6,345,233

• 75,325,832

• 923,876,288

Writing Numbers• Standard Form: A way to write numbers that

shows the place value of each digit. The standard form for the number two hundred six is 206.

• Expanded Form: A way to write numbers that shows the place value of each digit.The expanded form for the number 3689 is3000+600+80+9= 3689

• Written Form: A way to write numbers that shows the place value of each digit. The written form of the number 289 is simply 289.

Standard Form• Writing numbers in

word from.

Here are some numbers written in words.

Remember use a hyphen when you use words to write 2-digit numbers greater than 20.

zero ten twenty thirty

one eleven twenty- one forty

two twelve twenty- two fifty

three thirteen twenty- three sixty

four fourteen twenty- four seventy

five fifteen twenty- five eighty

six sixteen twenty- six ninety

seven seventeen twenty- seven

eight eighteen twenty- eight

nine nineteen twenty- nine

Let’s Try

Write 8,976,567 in standard form. eight million, nine hundred seventy-six

thousand, five hundred sixty- seven.Write 96,567,234 in standard form.

ninety- six million, five hundred sixty- seven thousand, two hundred thirty- four.

Write 876,345,265 in standard form.eight hundred seventy- six million, three hundred forty- five thousand, two hundred sixty- five.

One more time…

• Write 23,456,873 in standard form.– Twenty-three million, four hundred fifty-six

thousand, eight hundred seventy-three• Write 89,654,271 in standard form.

– Eighty-nine million, six hundred fifty-four thousand, two hundred seventy-one

• Write 2,872,982 in standard form.– Two million, eight hundred seventy- two

thousand, nine hundred eighty two• Write 142,872,652 in standard form.

– One hundred forty- two million, eight hundred seventy- two thousand, six hundred fifty- two

Writing Numbers Practice

• Write 1,982,072 in standard form.– One million, nine hundred eighty- two

thousand, seventy-two

• Write 923,082,235 in standard form.– Nine hundred twenty- three million, eighty- two

thousand, two hundred thirty- five

• Write 91,726,982 in standard form.– Ninety-one million, seven hundred twenty- six

thousand, nine hundred eighty- two

Expanded Form

• A way to write numbers that shows the place value of each digit.

Example: 8,768= 8,000+ 700 + 80 + 3

9,302= 9,000+ 300+ 2

Comparing Numbers1. Line up the place

values by lining up the ones.

2. Begin with the greatest place. Find the first place where the digits are different.

3. Compare the value of the digits in that place.

563521

563521

different

same

60 is greater than 20.So 563 > 521

BEWARE when comparing numbers that don’t have the same amount of digits. Make sure to line the numbers up by the ONES PLACE.

Comparing numbers1 1 , 3 5 2 , 5 7 8

4 , 3 6 7 , 7 5 5

hund

red

millio

ns

ten m

illio

ns

millio

ns

, hund

red

thousa

nd

s

ten thousa

nd

s

thousa

nd

s

, hund

red

s

tens

ones

Millions Millions PeriodPeriod

ThousandsThousands

PeriodPeriodOnes Ones

PeriodPeriod

Comparing Numbers1. Line up the

place values by lining up the ones.

2. Begin with the greatest place. Find the first place where the digits are different.

3. Compare the value of the digits in that place.

11,352,578 4,367,755

11,352,578 4,367,755

11,000,000 is greater than 4,000,000.

When one whole number has more digits than another,

it is greater.

So in our example 11,352,578 > 4,367,755

Samples for Comparing Numbers• The table below shows the number of airline tickets sold

over the summer break. Airline Tickets

Month Number of Tickets Sold

June 30,876

July 32,688

August 36,578

Which list shows the months in order from least to greatest number of tickets sold by the airline?

A. July, June, August

B. August, July, June

C. July, August, June

D. June July, August

Samples for Comparing Numbers• The table below shows the number of airline tickets sold over

the summer break. Airline Tickets

Month Number of Tickets Sold

June 30,876

July 32,688

August 36,578

Which list shows the months in order from least to greatest number of tickets sold by the airline?

A. July, June, August

B. August, July, June

C. July, August, June

D. June July, August

How did you solve it?

3 0 8 7 6

3 2 6 8 8

3 6 5 7 8

Ordinal NumbersYou can use ordinal numbers to tell the position of people or things that are in a certain order.

Ordinal numbers can be written with digits and letters or in words.

Example:

1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th etc.

first, second, third, fourth, fifth, sixth, seventh, eighth, ninth, tenth, etc.