Chapter 1: Q2 (page 15)

For the following coordinates of two points on a number line, state the distance between the points $- 3$ and $- 17$ .

Short Answer

Expert verified

The distance between the two points is 14.

Step by step solution

Step 1. Apply the absolute difference formula.

The Distance can be calculated by taking the absolute value of the difference of coordinates of points. The absolute difference of two real numbers x and y can be calculated by $|x - y|$ . It describes the distance on the real line between the points corresponding to x and y.

Step 2. Calculate the absolute difference.

Let $x = - 3$ and $y = - 17$ be the coordinates of two points $(- 3, - 17)$ .

Step 3. Step description.

Substitute $- 3$ for x and $- 17$ for y to determine the absolute value difference.

$distance = | x - y | = | - 3 - (- 17) | = | - 3 + 17 | = 14$

Hence, the distance between the two points is 14.

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For the following coordinates of two points on a number line, state the distance between the points $- 3$ and $- 17$ .

Short Answer

Step by step solution

Step 1. Apply the absolute difference formula.

Step 2. Calculate the absolute difference.

Step 3. Step description.

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For the following coordinates of two points on a number line, state the distance between the points -3 and -17.

Short Answer

Step by step solution

Step 1. Apply the absolute difference formula.

Step 2. Calculate the absolute difference.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Statistics

Geometry

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

For the following coordinates of two points on a number line, state the distance between the points $- 3$ and $- 17$ .