Answer:
[tex]820.681=8\times 10^2+2\times 10^1+0\times 10^0+6\times 10^{-1}+8\times 10^{-2}+1\times 10^{-2}[/tex]
Step-by-step explanation:
Given : Number 820.681.
To find : What is number in expanded form, using powers of 10?
Solution :
Number in expanded form, using powers of 10 using number system,
Hundred Tens Ones Tenths Hundredths Thousandths
8 2 0 6 8 1
[tex]820.681=8\times 10^2+2\times 10^1+0\times 10^0+6\times 10^{-1}+8\times 10^{-2}+1\times 10^{-2}[/tex]
[tex]820.681=8\times 100+2\times 10+0\times 1+6\times \frac{1}{10}+8\times \frac{1}{100}+1\times \frac{1}{1000}[/tex]
[tex]820.681=800+20+0+6\times 0.1+8\times 0.01+1\times 0.001[/tex]
[tex]820.681=800+20+0.6+0.08+0.001[/tex]
