Question

What is 820.681 in expanded form, using powers of 10?

Answer 1

8.00000×10^2+2.0000×10^1+ .600×10^-1+.080×10^-2+.001×10^-3=820.681 in expanded form using powers of 10

Answer 2

`820.681=8* 10^2+2* 10^1+0* 10^0+6* 10^(-1)+8* 10^(-2)+1* 10^(-2)`

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

`820.681=8* 10^2+2* 10^1+0* 10^0+6* 10^(-1)+8* 10^(-2)+1* 10^(-2)`

`820.681=8* 100+2* 10+0* 1+6* (1)/(10)+8* (1)/(100)+1* (1)/(1000)`

`820.681=800+20+0+6* 0.1+8* 0.01+1* 0.001`

`820.681=800+20+0.6+0.08+0.001`