How to find value with a number line

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ACT Math › How to find value with a number line

Questions 1 - 5
1

On a number line, what is the distance between –6 and 7?

1

13

–1

–13

3

Explanation

To find distance between two points, take the second and subtract the first.

So 7–(–6) = 7 + 6 = 13

2

On a real number line, what is the midpoint of –4 and 18?

4

7

8

11

14

Explanation

The integer halfway between –4 and 18 is 7. The number 7 is 11 greater than –4 and 11 less than 18. Another way to determine this would be to find the average of the two numbers: (–4 + 18)/2 = 14/2 = 7.

3

What is the distance on a number line between and ?

Explanation

The distance between 2 numbers on a number line is the sum of their absolute values.

4

Which equation can be used to describe the following number line:

Act_math_156_01

None of the other answers

Explanation

Solve each equation for , plot on number line.

5

Which number below is farthest from –3 on a number line?

–8

–1

3

3/2

0

Explanation

The answer here relies on knowledge of how numbers are arranged on a number line. We are looking for the number furthest from –3. The number furthest from –3 can lie either to the left of –3 which would be negative numbers that are more negative, or further from 0 than –3. The number furthest from –3 could also lie to its right on the number line, these numbers include all negative numbers between –3 and 0,0, and all positive numbers. The number that satisifes these conditions and is the furthest from –3 on the number line is –8

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