What must be value of k so that 3.54×10^k
becomes 354,000,000 when written in standard form?
To find the value of k, we need to determine how many places the decimal point needs to be moved to the right in order to change 3.54×10^k to 354,000,000.
3.54×10^k = 354,000,000
In this case, we need to move the decimal point 8 places to the right. Therefore, k must be equal to 8.
So, k = 8.