How do you find the distance between two integers like 6 and -3?

In this lesson you will learn to determine the distance between integers by examining absolute

value and number lines.

Let’s ReviewLet’s Review

What’s an integer?

Integers include positive and negative whole numbers as well as 0.

...-3, -2, -1, 0, 1, 2, 3 ...

Non-Examples:

-5.2 0.28 -9.9 4

Let’s ReviewLet’s Review

What’s distance?

Distance is a measure of how far apart two things are. Distance is always positive.

Let’s ReviewLet’s Review

What’s absolute value?

Absolute value is a number’s distance from 0.

7-12

| |

-12 = 12 | |7 = 7

Let’s ReviewA Common Mistake

Using distance and subtraction as synonyms.

6 - 9 = 3

Distance between -5 and 4 is -9.notv

-6 9

-5 4

Let’s ReviewCore Lesson

9Find the distance between 5 and 14.

5 14Find the distance between -2 and -11.

9

-11 -2

9

5 14

Let’s ReviewCore Lesson

9

-3 6

Find the distance between 6 and -3.

the distance between -2 and 11 the distance between 5 and 14

9

5 14

9

-11 -2

9

5 14

9

-11 -2

Let’s ReviewCore Lesson

Distance = Difference

12 = 14 - 2

12 = 2 - 14

In this lesson you learned to determine the distance between integers by examining absolute

value and number lines.

Let’s ReviewGuided Practice

11

Determine the distance between -8 and 3.

-8 3

Let’s ReviewGuided Practice

6

How many units apart are -4 and -10?

-10 -4

Let’s ReviewExtension Activities

Think about traveling to a friend’s house and back home. Would you use positive or negative numbers to describe the trip?Write about why you think distance is always positive?

Let’s ReviewExtension Activities

What do you notice is different about the pairs of numbers in Group A and the pairs of numbers in Group B? Is there anything different about how you find the distance between numbers in each group? Explain why or why not.

Group A Group B

-8 & -15 -9 & 4

16 & 9 30 & -21

23 & 17 16 & -9

-5 & -4 -15 & 8

-2 & -20 5 & -1

Let’s ReviewQuick Quiz

How many units apart are 18 and -13?

Determine the distance between -20 and -4.