Algebra - How to find absolute value

Solve the absolute value: $-2+\left | -3+2\right |^3$

Explanation

Solve the terms inside the absolute value first.

$-2+\left | -3+2\right |^3 = -2+\left | -1\right |^3$

A negative value inside the absolute value sign will be converted to a positive value.

Use order of operation to solve.

The answer is:

What number or numbers have absolute value 29?

$\left { -29, -58,-87,-116,...\right }$

No such number exists.

Explanation

The absolute value of any positive number is the number itself, so 29 has 29 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 29 as an absolute value.

Solve the absolute value: $-\sqrt{\left | -9\right |}$

$\textup{No solution.}$

Explanation

Solve by first simplifying the absolute value inside the radical.

$-\sqrt{\left | -9\right |}= -\sqrt{9}$

Simplify the radical.

$-\sqrt{9}=-3$

The answer is:

Solve the absolute value: $-2\left | -3-8\right |$

Explanation

Solve the parts inside the absolute value first.

$-2\left | -3-8\right | = -2 \left | -11\right |$

Any value inside the absolute value sign will be converted to a positive number.

Simplify the expression.

The answer is:

Mr. Smith and his wife went on a trip, they travelled miles towards their destination, however on the way there they had to turn around and drive miles away from their destination to get Mr. Smith's wallet from the store. After getting his wallet they drove more miles to reach their destination. What is the total number of miles that the family covered?

Not enough information.

Explanation

Even though the Smiths travelled backwards you still have to add the positive number to the equation. So it looks like this:

Solve: $-2\left | 3+\left | -3\right |\right |$

Explanation

Simplify the innermost absolute value first. Negative numbers inside the absolute value will be converted to a positive value.

Evaluate the terms inside the absolute value and solve.

$-2\left | 3+3\right | = -2\left | 6\right | = -2(6) = -12$

The answer is:

$\left | -64\right |$

Explanation

The symbol above represents the absolute value, which we find by simply determining the positive value of the number in question. If the number is positive, it remains positive, but if it is negative, we just drop the negative sign. Therefore, the absolute value of is .