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Chapter 3: Problem 82

Find the absolute value of the number. $$-1$$

Short Answer

Expert verified
The absolute value of -1 is 1.

Step by step solution

01

Identify the Number

The number provided is -1.
02

Apply Absolute Value Rule

The absolute value of a number refers to its distance on the number line from 0 without considering the direction. Hence, regardless whether the number is negative or positive, its absolute value is always positive. So here, the absolute value of -1 is 1.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

number line
The number line is a visual representation of numbers placed along a straight horizontal line. It helps us understand the order and relative position of numbers. Numbers increase as you move to the right and decrease when you move to the left.

Imagine a ruler stretched out infinitely in both directions. The center point is zero, and numbers to the right are positive. Numbers to the left of zero are negative.

  • Each point on the number line corresponds to a real number.
  • This tool helps us visualize operations like addition, subtraction, and finding absolute values.
  • The distance between any number and zero determines its absolute value. For example, whether you have -3 or 3, their distance from zero is 3.
Understanding how to maneuver the number line enhances basic arithmetic skills and lays the foundation for more complex math concepts.
positive numbers
Positive numbers are all the numbers greater than zero. As you move to the right of zero on the number line, you'll encounter these numbers.

Here are some characteristics of positive numbers:

  • Symbolically, these numbers either have no sign or a '+' sign in front of them. For example, 5 or +5.
  • They represent quantities or values that denote amounts, distances, or increases.
  • They are always to the right of zero on the number line.
  • Addition or multiplication involving positive numbers and zero yield positive outcomes.
As you become more comfortable with positive numbers, you'll see they form the basis for understanding more complex calculations and measures, signifying accumulation or growth.
negative numbers
Negative numbers are those less than zero, and they have a minus sign (-) in front of them. As you move left from zero on the number line, negative numbers appear.

Understanding negative numbers allows you to grasp concepts like debt or temperature drops.

  • They are always preceded by a '-' sign, such as -1 or -5.
  • Negative numbers tell us about a deficit, decrease, or loss in value.
  • They sit to the left of zero on a number line鈥攆urther left means a larger negative effect.
  • Operations using negative numbers often involve reversing directions. For example, subtracting a negative number is akin to adding its positive counterpart.
Getting acquainted with how negative numbers work is crucial for balancing equations, understanding financial contexts, and solving real-world problems that involve reductions or decreases.

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Most popular questions from this chapter

Is \(-3\) a solution of the equation \(x-7=-10 ?\)

If the temperature rose \(20.3^{\circ} \mathrm{F}\) during one day and ended up at a high temperature of \(15.7^{\circ} \mathrm{F},\) did the temperature begin above or below \(0^{\circ} \mathrm{F} ?\)

Make up three subtraction problems such that each problem involves a negative number minus a negative number, and each problem has a difference of \(-8 .\) Then describe a strategy for writing these problems.

Simplify. $$-12-(-3)-(-15)$$

Subtract. $$57-86$$
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