What is the absolute value of -34?

What is the absolute value of -34?

The absolute value of a number is its distance from zero on the number line. In other words, it is the value of a number without considering its sign. When we think about the absolute value of -34, we are concerned with the distance of -34 from zero. So, what is the absolute value of -34? **The absolute value of -34 is 34**.

FAQs:

1. What does the term ‘absolute value’ mean?

The term ‘absolute value’ refers to the magnitude or distance of a real number from zero, irrespective of its sign.

2. How is the absolute value of a number denoted?

The absolute value of a number is denoted by two vertical bars or “|” surrounding the number.

3. Can we have a negative absolute value?

No, the absolute value of any number is always positive or zero.

4. What happens if the number is already positive?

If the number is positive, its absolute value will be the same as the number itself.

5. Can the absolute value of zero be negative?

No, the absolute value of zero is always zero.

6. How can I calculate the absolute value of a negative number?

To calculate the absolute value of a negative number, simply remove the negative sign and provide the number as a positive value.

7. Is the absolute value of -34 equal to the absolute value of 34?

Yes, the absolute value of -34 is equal to the absolute value of 34 because their distances from zero are the same.

8. How does absolute value affect inequalities?

When applying absolute value to an inequality, the inequality sign can stay the same if both sides are positive or both sides are negative (e.g., |x| > 3 remains unchanged as x > 3 or x < -3), but it must be reversed if one side is positive and the other is negative (e.g., |x| < -2 becomes a contradiction).

9. Can absolute value be applied to complex numbers?

Yes, absolute value can also be applied to complex numbers, resulting in a non-negative real number. The absolute value of a complex number is equal to the distance between the origin and the point representing the complex number in the complex plane.

10. Is the absolute value the same as the modulus?

Yes, the absolute value is often referred to as the modulus, especially when dealing with complex numbers.

11. How can the absolute value function be represented in mathematical notation?

The absolute value function can be represented as |x| or abs(x), where x is the number for which we want to calculate the absolute value.

12. What are some real-life applications of absolute value?

Absolute value finds its applications in various fields like physics, economics, computer science, and engineering. For example, it can be used to measure error, distance, or magnitude, and to solve problems involving optimization or absolute deviation.

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