To write \( 6.7663 \times 100 \) in standard form, you need to carry out the multiplication first.
Calculating: \[ 6.7663 \times 100 = 676.63 \]
Now, to express \( 676.63 \) in standard form, you need to write it in the format \( a \times 10^n \) where \( 1 \leq a < 10 \) and \( n \) is an integer.
To convert \( 676.63 \) to standard form:
- Move the decimal point 2 places to the left, which gives \( 6.7663 \).
- Since we moved the decimal point 2 places to the left, \( n = 2 \).
Thus, the number can be written as: \[ 6.7663 \times 10^2 \]
So, \( 6.7663 \times 100 \) in standard form is \( 6.7663 \times 10^2 \).