**5 is 5**, and the absolute value of −5 is also 5.

What is the absolute value of a complex number?

**compare and contrast the absolute value of a real number to that of a complex number.**.

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Explanation: The absolute value of -5: |−5| is the absolute value of a **negative number**. To find the answer to this, you simply remove the negative sign, so the answer is 5 .

The absolute value of |3| is **3** .

The absolute value of a number is its distance from zero on the number line. For example, -7 is **7** units away from zero, so its absolute value would be 7. And 7 is also 7 units away from zero, so its absolute value would also be 7.

What number or numbers have absolute value 11? **No such numbers exist**. Explanation: The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value.

- |6| = 6 means “the absolute value of 6 is 6.”
- |–6| = 6 means “the absolute value of –6 is 6.”
- |–2 – x| means “the absolute value of the expression –2 minus x.”

- |6| = 6 means “the absolute value of 6 is 6.”
- |–6| = 6 means “the absolute value of –6 is 6.”
- |–2 – x| means “the absolute value of the expression –2 minus x.”

The absolute value of 8 is **|8|**, which equals 8. The absolute value of a negative number is positive.

The absolute value of **−7=7** .

Step 1: Isolate the absolute value | |x + 4| – 6 < 9 |x + 4| < 15 |
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Step 2: Is the number on the other side negative? | No, it’s a positive number, 15. We’ll move on to step 3. |

Step 3: Set up a compound inequality | The inequality sign in our problem is a less than sign, so we will set up a 3-part inequality: -15 < x + 4 < 15 |

Answer: **Two different integers can have the same absolute value**.

The absolute value of a number is the magnitude of that number without considering its sign. Since 0 is zero units away from itself, the absolute value of 0 is just 0. The absolute value of 0 is written as **|0|** and is equal to 0.

The absolute value of 27 is **27**.

- Step 1: Isolate the absolute value expression.
- Step2: Set the quantity inside the absolute value notation equal to + and – the quantity on the other side of the equation.
- Step 3: Solve for the unknown in both equations.
- Step 4: Check your answer analytically or graphically.

When you see an absolute value in a problem or equation, it means that **whatever is inside the absolute value is always positive**. Absolute values are often used in problems involving distance and are sometimes used with inequalities. … That’s the important thing to keep in mind it’s just like distance away from zero.

To solve an equation containing absolute value, **isolate the absolute value on one side of the equation**. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.