Place Value through Thousandths Writing Decimals in Expanded Form

Write decimals in expanded form Learning Target

A review of expanded form… 34,584 = (3 x 10,000) + (4 x 1,000) + (5 x 100) + (8 x 10) + (4 x 1)

A review of expanded form… 98,274,000 = (9 x 10,000,000) + (8 x 1,000,000) + (2 x 100,000) + (7 x 10,000) + (4 x 1,000)

A review of expanded form… 300,091,115 = (3 x 100,000,000) + (9 x 10,000) + (1 x 1,000) + (1 x 100) + (1 x 10) + (5 x 1)

Expanded form works much the same way with decimals… 1 _____ 10 Let’s start with tenths.

0.2 = (2 x ) 1 _____ 10

0.6 = (6 x ) 1 _____ 10

0.4 = (4 x ) 1 _____ 10

0.5 = (5 x ) 1 _____ 10

Now try tenths and hundredths. 0.98 = (9 x ) + (8 x ) 1 _____ 10 1 _____ 100 Now try tenths and hundredths.

0.52 = (5 x ) + (2 x ) 1 _____ 10 1 _____ 100

0.17 = (1 x ) + (7 x ) 1 _____ 10 1 _____ 100

0.63 = (6 x ) + (3 x ) 1 _____ 10 1 _____ 100

Following the same steps, you can now include thousandths 0.983 = (9 x ) + (8 x ) + (3 x ) 1 _____ 10 Following the same steps, you can now include thousandths as well. 1 _____ 100 1 _____ 1000

0.382 = (3 x ) + (8 x ) + (2 x ) 1 _____ 10 1 _____ 100 1 _____ 1000

0.177 = (1 x ) + (7 x ) + (7 x ) 1 _____ 10 1 _____ 100 1 _____ 1000

0.857 = (8 x ) + (5 x ) + (7 x ) 1 _____ 10 1 _____ 100 1 _____ 1000

0.004 = (0 x ) + (0 x ) + (4 x ) 1 _____ 10 1 _____ 100 1 _____ 1000

Interactive Math Notebook! Your turn!! These last four go in your Interactive Math Notebook!

Now you can put it all together.. 754.382 = ( 7 x 100 ) + ( 5 x 10 ) + ( 4 x 1 ) + ( 3 x ) + ( 8 x ) + ( 2 x ) Now you can put it all together.. 1 _____ 10 1 _____ 100 1 _____ 1000

Now you can put it all together.. 93,000,020.571 = (9 x 10,000,000) + (3 x 1,000,000) + (2 x 10) ( 5 x ) + ( 7 x ) + ( 1 x ) Now you can put it all together.. 1 _____ 10 1 _____ 100 1 _____ 1000

Now you can put it all together.. 6,603.228 = (6 x 1,000) + (6 x 100) + (3 x 1) + ( 2 x ) + ( 2 x ) + ( 8 x ) Now you can put it all together.. 1 _____ 10 1 _____ 100 1 _____ 1000

Now you can put it all together.. 43,005.27 = (4 x 10,000) + (3 x 1,000) + (5 x 1) + ( 2 x ) + ( 7 x ) + Now you can put it all together.. 1 _____ 10 1 _____ 100

Write decimals in expanded form Learning Target