Convert the number from decimal form to the given base. 2715 to base sixteen \( 2715=\square \) sixteen

1. Divide \(2715\) by \(16\): \[ 2715 \div 16 = 169 \text{ remainder } 11 \] The remainder \(11\) corresponds to \(B\) in hexadecimal. 2. Divide the quotient \(169\) by \(16\): \[ 169 \div 16 = 10 \text{ remainder } 9 \] The remainder \(9\) remains \(9\) in hexadecimal. 3. Divide the quotient \(10\) by \(16\): \[ 10 \div 16 = 0 \text{ remainder } 10 \] The remainder \(10\) corresponds to \(A\) in hexadecimal. 4. Reading the remainders from last to first, we obtain the hexadecimal number: \[ A9B \] Thus, \[ 2715 = \text{A9B}_{16} \]