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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 ■ Create a number a card in the numbers 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 – Do the same as above ■ Create a number that has at least 2 zeroes in it – Do the same as above

Expanded Form for Decimals ■ Write the following # on your Math. Board – 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 1. 6, 713 = 6, 000 + 700 + 10 + 3 2. 9, 004 = 9, 000 + 4 3. 14, 804 = 10, 000 + 4, 000 + 800 + 4 4. 7, 510 = 7, 000 + 500 + 10

Expanded Form for Decimals ■

Write the following #s in expanded form 1. . 713 2. 4. 628 3. 26. 301 4. 5, 987. 006 ■

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 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 10) + (_____ x 1) 1. 3, 459 2. 7, 504 3. 25, 059 4. 2, 923. 5 ■

Now write 4, 809 on your Math. Board ■ Rewrite the number in: 1. Word Form 2. Expanded Form 3. Expanded Form using powers of ten ■ Answers 1. Four thousand, eight hundred nine 2. 4, 000 + 800 + 9 3. (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. 01) ■ This is called “Expanded form with powers of 10”

1. . 871 2. 4. 306 ■

1. 70. 063 2. 9, 624. 378 ■

PLACE VALUES CHART