To write the number 6,950,000 in scientific notation, follow these steps:
1. Place the decimal point such that there is only one non-zero digit to its left. In this case, we move the decimal point in 6,950,000 to get 6.95.
2. Count how many places you moved the decimal point to the left. For 6,950,000, you moved the decimal point 6 places to the left.
3. Combine the mantissa (the number obtained after placing the decimal point) with the power of 10, which is represented by the number of places the decimal point was moved.
Thus, 6,950,000 can be written in scientific notation as:
[tex]\[ 6.95 \times 10^6 \][/tex]
This notation indicates that 6.95 should be multiplied by 10 raised to the power of 6, effectively shifting the decimal point 6 places to the right to return to the original number.
