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Imagery for Decimals. Area Models Numberline Models Use the correct vocabulary Compare Compare Compare. One 1. One tenth of the one is coloured red. How many tenths should fit in the one?. One whole is the same as ten tenths. How many hundredths in one tenth? In one whole?.
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Area Models Numberline Models Use the correct vocabulary Compare Compare Compare
How many hundredths in one tenth? In one whole?
ten tenths One hundred hundredths One thousand thousandths
one thousand thousandths
one thousandth is inside one hundredth is inside one tenth is inside 1
0 1 2 3 One One tenth One thousandth
0 1 2 3 Where are the tenths? The hundredths? Where is 0.7? Where is 0.07? Where is 2.7? Where is 2.07?
0.07 0.7 2.07 2.7 0 1 2 3
Play on a numberline: three tenths, thirty tenths 6 hundredths, 60 hundredths 14 tenths, 140 hundredths 63 hundredths, 6 tenths
Area Models are based on place value 1 This is one
Multiply 1 x10 1 x 10 = 10 1 10
Multiply 10 x10 Why did we move to area?
Linear model: 100 x 1 I cannot show it here.
Multiply 100 x 10 Why do we move to volume?
A linear model 100 x 10 I cannot show it here.
If you work your way backwards, divide by 10 to undo. 1000 ÷ 10 = 100 Do you understand division: Sharing out equally so give out tens till they are all gone Fill ten groups equally or as equally as possible.
If you work your way backwards, divide by 10 to undo. 100 ÷ 10 = 10 Do you understand division: Sharing out equally so give out tens till they are all gone Fill ten groups equally or as equally as possible.
You cannot share out tens till they are all gone so you have to think about filling or making ten equal groups... There will be one in each 10 ÷ 10 = 1
You cannot share out tens till they are all gone so you have to think about making ten equal groups... There will be one tenth of the whole in each. 1 ÷ 10
1 ÷ 10 = Decimals have their own notation. 0.1
Compare or 0.1 to 1 to 10 on a numberline 0.1 0 1 2 3
Compare to 1 to 10 on a numberline 1 0 5 10 15