Place Value Place 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.

THE VALUE OF A DIGIT DEPENDS ON ITS PLACE IN A NUMBER. Place Value THE 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.

How would you read this number? Reading Large Numbers Millions Period Thousands Period Ones 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 Ninety one million, four hundred two thousand, six hundred. Millions Period Thousands Period Ones Ninety one million, four hundred two thousand, six hundred.

One more time… With your seat partner try reading these two numbers. Millions Period Thousands Period 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 is 3000+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 Numbers 563 521 different 60 is greater than 20. 1. 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. 563 521 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 numbers Millions Period Thousands Period Ones

When one whole number has more digits than another, Comparing Numbers 1. 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 11,000,000 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? July, June, August August, July, June July, August, June June July, August

Samples for Comparing Numbers The table below shows the number of airline tickets sold over the summer break. Airline Tickets How did you solve it? 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? July, June, August August, July, June July, August, June June July, August 3 8 7 6 2 5

Ordinal Numbers You 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.