Place Value Numbers in Everyday Life n Where

+ Place Value

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

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

+ Standard Form n Standard Form- written with digits 45 78 365 1359087 430576

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

+ Expanded Form n 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, 000+800+70+5=19, 875

+ Which Form? 57 Three hundred 4(10, 000)+6(100)+3(10)+2(1) seven hundred ninety-seven thousand nine two hundred three thousand three 6789362 6( 1, 000) + 2(100, 000) + 6(10, 000) + 3( 1, 000) + 9 (100) + 8(10) + 1(1) 4(1, 000) + 3(100, 000) + 2(10, 000) + 8(100) + 3(10) + 4 (1)

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

+ Place Value n 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 n What do we know about the underlined digit? 6754 in the ones place means there are 4 ones there is a value of 4 n Lets write the expanded form: 6(1000)+7(100)+5(10)+4(1) 6000+700+50+4

+ Let’s Practice n 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 n 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 n Lets write the expanded form: 2(1000)+1(100)+4(10)+5(1) 2000+100+40+5

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

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

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

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

+ You Try n Provide the information for the underlined digit and then the expanded form for the number. n 43, 205, 678 n 586 n 102, 549, 873

+ Which has a larger value? n 4567 or 6321 n Remember when we think place value we think about how many sets the digit represents n The 6 in 6321 has a greater value because 6 is in the thousands place meaning it has a value of 6, 0000 (6 x 1000) compared to the 6 in 4567 which is in the tens place and has a value of 60 (6 x 10).

+ Which has a larger value? n 429589 or 301 n Remember when we think place value we think about how many sets the digit represents n The 9 in 429589 has a smaller value because 9 is in the ones place meaning it has a value of 9 (9 x 1) compared to the 3 in 301 which is in the hundreds place and has a value of 300 (3 x 100).

+ Which has a larger value n 58, 212, 367 vs 1, 092, 850 n 197 vs 9928 n 284, 541 vs 925, 755 =

+ You try! Which has a larger value n 993, 124 vs 831, 868 n 213, 404, 323 vs 226, 384 n 796, 834 vs 914, 227

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

+ Game Time n 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 n 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.