Enter the room code “Reisnermath” Go to socrative.com Enter the room code “Reisnermath”

2-2 Thousands to Thousandths “I can read, write, and model, whole and decimal numbers”

Look at the place value chart, do you notice any patterns with the names?

Open your activity book to page 37, pull out the cards in your bucket Look for patterns on the cards…Do you notice anything? With your cards put down the number 2,435 in standard form What do the little numbers in the upper corner represent? The value of the digit that shows in that place value

Use your cards to create the following numbers Create a number a card in the ones place and a card in the tenths place Create the number and say it out loud to your partner Create a number a card in the tens, ones, tenths, and hundredths place Do the same as above Create a number with at least a card in the hundreds and a card in the thousandths place Create a number that has at least 2 zeroes in it

Expanded Form for Decimals Write the following # on your MathBoard 35,026 Can anyone write this in expanded form? Think of the number cards we worked with yesterday 30,000 + 5,000 + 20 +6

Write the following #s in expanded form 6,713 9,004 14,804 7,510 = 6,000 + 700 + 10 + 3 = 9,000 + 4 = 10,000 + 4,000 + 800 + 4 = 7,000 + 500 + 10

Expanded Form for Decimals Write the following # on your MathBoard 57.39 Can anyone write this in expanded form? Think of the number cards we worked with yesterday 50 + 7 + .3 + .09 Or… We can use fractions 50 + 7 + 3 10 + 9 100

Write the following #s in expanded form .713 4.628 26.301 5,987.006 = .7 + 0.01 + 0.03 7 10 + 1 100 + 3 1000 = 4 + 0.6 + 0.02 + 0.008 4 + 6 10 + 2 100 + 8 1000 = 20 + 6 + 0.3 + 0.001 20 + 6 + 3 10 + 1 1000 = 5,000 + 900 + 80 + 7 + 0.006 5,000+ 900 + 80 + 7 + 6 1000

Expanded notation using powers of 10 We are getting very good at writing expanded notation What if I asked you to re-write a number “as the sum of products of each digit and it is place value” Huh?? What are the math words we see in that statement? Sum- We are adding something Products- We are multiplying something Digit- We are working with numbers 1-9 Place value- We are going to be working with values from our place value chart

Expanded notation using powers of 10 Write this number in expanded form on your Math Board: 9,172 9,000 + 100 + 70 + 2 Now write this number “as the sum of products of each digit and it is place value”

Write this number “as the sum of products of each digit and it is place value” 9,000 + 100 + 70 + 2 What place values are we dealing with? So what values are we going to multiply by? (_____ x 1,000) + (_____ x 100) + (_____ x 10) + (_____ x 1) This is called “Expanded form with powers of 10”

Write the following numbers in “Expanded form with powers of 10” ex: (_____ x 1,000) + (_____ x 100) + (_____ x 10) + (_____ x 1) 3,459 7,504 25,059 2,923.5 = (3 x 1,000) + (4 x 100) + (5 x 10) + (9 x 1) = (7 x 1,000) + (5 x 100) + (4 x 1) = (2 x 10,000) + (5 x 1,000) + (5 x 10) + (9 x 1) = (2 x 1,000) + (9 x 100) + (2 x 10) + (3 x 1) + (5 x 1 10 )

Now write 4,809 on your MathBoard Rewrite the number in: Word Form Expanded Form Expanded Form using powers of ten Answers Four thousand, eight hundred nine 4,000 + 800 + 9 (4 x 1,000) + (8 x 100) + (9 x 1) Any Patterns? We don’t have to write down expressions for zero All forms equal the same value The power of 10 has the same number of zereos as the expanded form Power of ten used for the expression is the same as the digit’s place value

Expanded notation using powers of 10 Write this number in expanded form on your Math Board: 34.52 30 + 4 + .5 + .02 Now write this number “as the sum of products of each digit and it is place value”

Write this number “as the sum of products of each digit and it is place value” 30 + 4 + .5 + .02 What place values are we dealing with? So what values are we going to multiply by? (_____ x 10) + (_____ x 1) + (_____ x .1) + (_____ x .01) This is called “Expanded form with powers of 10”

Write the following numbers in “Expanded form with powers of 10” ex: (_____ x 10) + (_____ x 1) + (_____ x 1 10 ) + (_____ x 1 100 ) Think about the place values!! = (8 x .1) + (7 x .01) + (1 x .001) = (8 x 1 10 ) + (7 x 1 100 ) + (1 x 1 1000 ) = (4 x 1) + (3 x .1) + (6 x .001) = (4 x 1) + (3 x 1 10 ) + (6 x 1 1000 ) .871 2. 4.306

Write the following numbers in “Expanded form with powers of 10” ex: (_____ x 10) + (_____ x 1) + (_____ x 1 10 ) + (_____ x 1 100 ) Think about the place values!! 70.063 9,624.378 = (7 x 10) + (6 x .01) + (3 x .001) = (7 x 10) + (6 x 1 100 ) + (3 x 1 1000 ) = (9 x 1,000) + (6 x 100) + (2 x 10) + (4 x 1) +(3 x .1) + (7 x .01) + (8 x .001) = (9 x 1,000) + (6 x 100) + (2 x 10) + (4 x 1) +(3 x 1 10 ) + (7 x 1 100 ) + (8 x 1 1000 )

PLACE VALUES CHART