Place Value

5 6 4 Tens Ones Hundreds Standard Form Words: Five hundred sixty four Expanded Form: 500 + 60 + 4 Expanded Form: 5 x 100 + 6 x 10 + 4 x 1

7 3 1 Tens Ones Hundreds Standard Form Words: Seven hundred thirty one Expanded Form: 700 + 30 + 1 Expanded Form: 7 x 100 + 3 x 10 + 1 x 1

{ 5 2 4 6 8 3 Tens Ones Hundreds Thousnads Standard Form , + + Ten Thousdands Tens Hundred Thousands Hundreds Ones Thousnads { 5 2 4 6 8 3 Standard Form , Five hundred twenty four thousand Words: six hundred eighty three Expanded Form: 500,000 20,000 4,000 + + + + 600 + 80 3 5 x 100,000 2 x 10,000 Expanded Form: + + 4 x 1000 + 6 x 100 + 8 x 10 + 3 x 1

One hundred seventy nine million Ten Millions Ten Thousdands Tens Hundred Millions Ones Millions Hundred Thousands Thousnads Hundreds { { 1 7 9 5 2 4 6 8 3 , , Standard Form Words: One hundred seventy nine million Six hundred eighty three Five hundred twenty four thousand Expanded Form: 100,000,000 + 70,000,000 + 9,000,000 + 500,000 + 20,000 + 4,000 + 600 + 80 + 3 Expanded Form: 1 x100,000,000 + 7x 10,000,000 + 9 x 1,000,000 + + 5 x 100,000 + 2 x 10,000 + 4x 1,000 6 x100 + 8 x10 + 3x1

Try: In words 1. 58,457 2. 1,269,413 Fifty eight thousand four hundred fifty seven One million two hundred sixty nine thousand four hundred thirteen 4. 208,309 3. 515,167 Five hundred fifteen thousand one hundred sixty seven Two hundred eight thousand three hundred nine

Try: In expanded form 1. 58,457 2. 1,269,413 1,000,000 + 200,000 + 60,000 + 9,000 + 400 + 10 + 3 50,000 + 8,000 + 400+ 50 + 7 5x10,000 + 8x1,000 + 4x100+ 5x10 + 7x1 1x1,000,000 + 2x100,000 + 6x10,000 + 9x1,000 + 4x100 + 1x10 + 3x1 3. 515,167 4. 208,309 200,000 + 8,000 + 300 + 9 500,000 + 10,000 + 5,000 + 100 + 60 + 7 2x100,000 + 8x1,000 + 3x100 + 9x1 5x100,000 + 1x10,000 + 5x1,000 + 1x100 + 6x10 + 7x1

How does a decimal Affect Place value?

. 7 3 1 2 Tens Ones Tenths Hundreds Standard Form Words: Seven hundred thirty one two tenths and 0.2 Expanded Form: 700 + 30 + 1 + Expanded Form: 2 x 0.1 7 x 100 + 3 x 10 + 1 x 1 +

twenty five hundredths Tens Hundreds Ones Tenths Hundredths { 7 3 1 2 5 . Standard Form Words: Seven hundred thirty one and twenty five hundredths 0.05 Expanded Form: 700 + 30 + 1 0.2 + + Expanded Form: 5 x 0.01 7 x 100 + 3 x 10 + 1 x 1 + 2 x 0.1 +

two hundred fifty four thousandths Tens Hundreds Ones Tenths Hundredths Thousdanths { 7 3 1 2 5 4 . Standard Form Words: Seven hundred thirty one and two hundred fifty four thousandths 0.2 + 0.05 + 30 + 1 + + 0.004 Expanded Form: 700 2 x 0.1 5 x 0.01 + + 4 x 0.001 Expanded Form: 7 x 100 + 3 x 10 + 1 x 1 +

Try: In words 1. 41.89 2. 258.4 Two hundred fifty eight and four tenths Forty one and eighty nine hundredths 4. 1.035 3. 12.365 Twelve and three hundred sixty five thousandths One and thirty five thousandths

Try: In expanded form 1. 41.89 2. 258.4 200 + 50 + 8 + 0.4 1. 41.89 2. 258.4 200 + 50 + 8 + 0.4 40 + 1 + 0.8 + 0.09 2x100 + 5x10 + 8x1 + 4x0.1 4x10 + 1x1 + 8x0.1 + 9x0.01 4. 1.035 3. 12.365 10 + 2 + 0.3 + 0.06 + 0.005 1 + 0.03 + 0.005 1x10 + 2x1 + 3x0.1 + 6x0.01 + 5x0.001 1x10 + 3x0.01 + 5x0.001