The absolute value of a number is the non-negative value of the number without regard to its sign. It may be thought of as the distance of the number from zero on a number line. It is symbolized by two vertical lines, as |3| or |−3| is equal to 3. For complex numbers, the absolute value is the positive square root of the sum of the squares of the real and imaginary parts. The absolute value is used to determine the numeric value of a quantity, irrespective of sign, that has no meaning for the sign.
To find the absolute value of -16+51, you need to simplify the expression first and then apply the definition of absolute value. -16+51 = 35, so | -16+51 | = | 35 |. Since 35 is a positive number, its absolute value is itself. Therefore, | -16+51 | = 35.