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 |
|---|---|
| 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.