+ Place Value

+ Numbers in Everyday Life Where do we see them? What do they represent? What do they mean?

+ Numbers Numbers can be written in three ways: 1) standard form- standard digits 2) word form-when a number is written out in words 3) expanded form- as a sum of the all of the digits’ place values

+ Standard Form Standard Form- written with digits

+ Word Form Word form- when a number is written out in words Fivefive hundred ninety six one hundredthree thousand *NOTE: THERE IS NO AND IN WORD FORM UNLESS THERE ARE DECIMALS

+ Expanded Form 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, =19,875

+ 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 ( 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)

+ Place Value Place value-the value of where the digit is in the number Think how many sets!

+ Place Value 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 What do we know about the underlined digit? 6754 in the ones place means there are 4 ones there is a value of 4 Lets write the expanded form: 6(1000)+7(100)+5(10)+4(1)

+ Let’s Practice 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

+ Let’s Practice 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 Lets write the expanded form: 2(1000)+1(100)+4(10)+5(1)

+ Let’s Practice What do we know about the underlined digit? 6,832 1) 2) 3) Lets write the expanded form:

+ Let’s Practice What do we know about the underlined digit? 38,214 1) 2) 3) Lets write the expanded form:

+ Let’s Practice What do we know about the underlined digit? 123,965 1) 2) 3) Lets write the expanded form:

+ Let’s Practice What do we know about the underlined digit? 421,795,087 1) 2) 3) Lets write the expanded form:

+ You Try Provide the information for the underlined digit and then the expanded form for the number. 43,205, ,549,873

+ Which has a larger value? 4567 or 6321 Remember when we think place value we think about how many sets the digit represents 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).

+ Which has a larger value? or 301 Remember when we think place value we think about how many sets the digit represents The 9 in 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).

+ Which has a larger value 58,212,367 vs 1,092, vs ,541 vs 925,755 =

+ You try! Which has a larger value 993,124 vs 831, , 404,323 vs 226, ,834 vs 914,227

+ Practice! 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! You must explain how you know the it is the biggest number and the smallest number possible (expanded form).

+ Game Time 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.

+ Before You Go 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.