\(39746=3\times10000+9\times1000+7\times100+4\times10+6\).
We will check the expanded form by place values.
Step 1: Write the number and its digits by place
\(39746\) has digits: \(3\) (ten-thousands), \(9\) (thousands), \(7\) (hundreds), \(4\) (tens), \(6\) (ones).
Step 2: Convert each digit to its value
Ten-thousands: \(3\times10000 = 30000\)
Thousands: \(9\times1000 = 9000\)
Hundreds: \(7\times100 = 700\)
Tens: \(4\times10 = 40\)
Ones: \(6\times1 = 6\)
Step 3: Add the values
\(30000 + 9000 = 39000\)
\(39000 + 700 = 39700\)
\(39700 + 40 = 39740\)
\(39740 + 6 = 39746\)
Conclusion
The sum equals \(39746\), so the expanded form given is correct. Therefore, the statement is true.