Illustrative Mathematics 6 NS Tenths of and So On Task Since 0 1 1 when we multiply by 0 1 we are multiplying by one tenth 10 a Multiply 0 1 100 0 1 10 0 1 1 0 1 0 1 0 1 0 01 0 1 0 001 b Describe the patterns you see in the products above Similarly since 0 01 hundredth 1 when we multiply by 0 01 we are multiplying by one100 c Multiply 0 01 100 0 01 10 0 01 1 0 01 0 1 0 01 0 01 0 01 0 001 d Describe the patterns you see in the products above 1

Illustrative Mathematics Based only on the patterns above what do you expect 0 0001 0 00001 to be Explain why that must be true by thinking of these decimals as fractions 6 NS Tenths of and So On Typeset May 4 2016 at 23 44 01 Licensed by Illustrative Mathematics under a Creative Commons Attribution NonCommercial ShareAlike 4 0 International License 2

Based on the patterns above I think that the answer will be 0.00010 because when you go up a place value you move the decimal one place to the right and then that would result in the answer being 0.00010.