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Objective M 5. A. 1. 1. 1 Use expanded notation to represent whole numbers or decimals (whole numbers less than 10, 000 and decimals through hundredths).

Vocabulary Ø Expanded Form – a way to write numbers that shows the place value of each digit.

Essential Question How do I write a whole number using expanded notation?

Expanded Form **When doing expanded form…. We are breaking a number down in pieces. **The pieces are the numbers in the problem and their place values.

Expanded Form Hundreds 248 How many ones are there? Tens How many tens are there? How many hundreds are there? The expanded form is: Ones

Expanded Form 4, 367 4, 000 300 60 7 4, 000 + 300 + 60 + 7 = + + +

Expanded Form 2, 000 + 300 + 9 + 2, 000 300 + 9 2, 309

Expanded form 16, 823 10, 000 6, 000 800 20 3 = + + + 10, 000 + 6, 000 + 800 + 20 + 3

Expanded Form Individual Practice 75, 348 = 49, 631 = 8, 656 = 42, 765 = 52, 678 = 783, 214 =

Switch it Up! What if you are given: 400 + 70 + 2 Hundreds Tens Ones

Switching it Up Expanded Notation: 2000 + 300 + 9 Thousands Hundreds Tens Ones 2 3 9 0 Notice there are no tens! We do not include 0 in our expanded notation. But, we DO include it when writing the number. 2, 309 This shows that there are no tens in this number.

What is your number? Ten. Thousands Hundreds Tens 2, 000 + 900 + 30 + 5 = 20, 000 +7, 000 + 100 + 2 = 4, 000 + 500 + 40 + 3 = 8, 000 + 400 + 50 + 7 = 30, 000 + 6, 000 + 300 + 80 + 5 = 10, 000 + 2, 000 + 500 + 4 = Ones

One more way… What does this mean? ? (5 x 1, 000) + (3 x 100) + (4 x 10) + (7 x 1) 5, 000 + 300 + 40 + 7 Multiply each number by 1 and tack on the 0’s at the end. Thousands Hundreds Tens Ones

One more way… Let’s check it out again… (4 x 1, 000) + (3 x 10, 000) + (7 x 1, 000) + (4 x 100) + (5 x 10) + (9 x 1) Millions Hundred. Thousands Ten-Thousands Hundreds Tens Ones

Millions Hundred. Thousands You try… Ten-Thousands Hundreds Tens Ones (9 x 10, 000) + (4 x 1, 000) + (3 x 100) + (2 x 10) + (4 x 1) = (8 x 100, 000) + (5 x 1, 000) + (4 x 100) + (8 x 10) + (6 x 1)= (4 x 1, 000) + (6 x 100) + (8 x 10) + (2 x 1) = (9 x 1, 000) + (8 x 10, 000) + (5 x 1, 000) + (3 x 100) + (7 x 10) + (6 x 1) = (5 x 10, 000) + (4 x 1, 000) + (9 x 100) + ( 3 x 10) + (7 x 1) = (7 x 100, 000) + (3 x 10, 000) + (8 x 100) + (4 x 10) + (9 x 1) =

Expanded Form Hundreds How many How many Tens Ones Tenths Hundredths 248. 14 ones are there? tens are there? hundreds are there? tenths are there? hundreths are there? The expanded form is:

Expanded Form 67. 32 60 tens + + Tens Ones 6 7 7 + ones + Tenths Hundredths 3 2 0. 3 + 0. 02 tenths + hundredths

Expanded Form 4, 367. 32 Thousands Hundreds Tens Ones 4 3 6 7 4, 000 + 300 + thousands + hundreds + 60 tens + 7 Tenths Hundredths 3 + 2 0. 3 + 0. 02 + ones + tenths + hundredths

Expanded Form 4, 367. 32 Thousands Hundreds Tens Ones 4 3 6 7 4, 000. 00 300. 00 60. 00 7. 00 0. 30 + 0. 02 4, 367. 32 Tenths Hundredths 3 2 Line up the ONES place in all of the numbers to add them together.

Expanded form Ten-Thousands Hundreds Tens Ones 16, 823. 94 Tenths Hundredths

Expanded Form Individual Practice 75, 348. 12 = 49, 631. 32 = 8, 656. 43 = 42, 765. 57 = 52, 678. 91 = 783, 214. 41 =

Switch it Up! What if you are given: 400 + 70 + 2 + 0. 05

Switching it Up 2, 000+ 300 + 90 + 4 + 0. 1 + 0. 03

What is your number? 2, 000 + 900 + 30 + 5 + 0. 8 +0. 03 = 20, 000 +7, 000 + 100 + 2 + 0. 7 + 0. 04 = 4, 000 + 500 + 40 + 3 + 0. 6 + 0. 09 = 8, 000 + 400 + 50 + 7 + 0. 3 + 0. 07= 30, 000 + 6, 000 + 300 + 80 + 5 + 0. 4 +0. 02 = 7, 000 + 800 + 40 + 1 + 0. 9 + 0. 04 =

One more way… What does this mean? ? (5 x 1, 000) + (3 x 100) + (4 x 10) + (7 x 1) + (5 x 0. 1) + (6 x 0. 01) 5, 000 + 300 + 40 + 7 + 0. 5 + 0. 06 5, 347. 56 Multiply each number by 1 and include any 0 s that are before or after.

One more way… Let’s check it out again… (4 x 1, 000) + (3 x 10, 000) + (7 x 1, 000) + (4 x 100) + (5 x 10) + (9 x 1) + (8 x 0. 1) + (4 x 0. 01)

You try… (9 x 10, 000) + (4 x 1, 000) + (3 x 100) + (2 x 10) + (4 x 1) + (2 x 0. 1) + (5 x 0. 01) = (8 x 100, 000) + (5 x 1, 000) + (4 x 100) + (8 x 10) + (6 x 1) + (7 x 0. 1) + (9 x 0. 01) = (4 x 1, 000) + (6 x 100) + (8 x 10) + (2 x 1) + (8 x 0. 1) + (6 x 0. 01) = (9 x 1, 000) + (8 x 10, 000) + (5 x 1, 000) + (3 x 100) + (7 x 10) + (6 x 1) + (7 x 0. 1) + (6 x 0. 01)= (5 x 10, 000) + (4 x 1, 000) + (9 x 100) + ( 3 x 10) + (7 x 1) + (3 x 0. 1) + (2 x 0. 01) = (7 x 10, 000) + (3 x 1, 000) + (8 x 100) + (4 x 10) + (8 x 1) + (6 x 0. 1) + (3 x 0. 01) =