Draw a number line similar to the one shown in Figure 1 ....

Draw a number line similar to the one shown in Figure $1 .$ Then indicate the approximate location of the given number. Where necessary, make use of the approximations $\sqrt{2} \approx 1.4$ and $\sqrt{3} \approx 1.7 .$ (The symbol $\approx$ means is approximately equal to.) $$-7 / 8$$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Number Line

A number line is a visual tool used to represent all real numbers in order along a horizontal line. It helps illustrate the relative positions, spacing, and order of numbers, including both positive and negative values, and is a fundamental concept in understanding number theory and real analysis.

Rational Numbers

Rational numbers are numbers that can be expressed as the quotient of two integers. They can be precisely located on a number line because they have exact fractional values. Understanding how to plot rational numbers reinforces concepts of ordering and measurement in the number system.

Negative Numbers

Negative numbers are values less than zero and are typically represented on the left side of zero on a number line. They are crucial for understanding the full spectrum of real numbers, demonstrating how quantities can represent deficits, losses, or directions opposite to positive values.

Approximation

Approximation is the process of finding a value that is close enough to an exact number for practical purposes. This concept is especially useful for irrational numbers, where exact values cannot be expressed as simple fractions, and it aids in locating such numbers on a number line by using estimated decimal values.

Please give Ace some feedback