# GED Math : Number Lines

## Example Questions

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### Example Question #1 : Number Lines

is the midpoint of  is the midpoint of  is the midpoint of

What fraction of  is  ?

Explanation:

Try thinking of  as a number line with endpoint  at 0, and endpoint  at 8. , the midpoint of , would be at 4. , the midpoint of , would be at 2; , the midpoint of  - whose endpoints are at 2 and 8 - would be at 5.

is  of .

### Example Question #37 : Numbers

is the midpoint of  is the midpoint of  is the midpoint of

What percent of  is  ?

Explanation:

Try thinking of  as a number line with endpoint  at 0, and endpoint  at 8. , the midpoint of , would be at 4. , the midpoint of , would be at 2; , the midpoint of  - whose endpoints are at 2 and 8 - would be at 5.

Therefore,

is  of

### Example Question #32 : Numbers And Operations

Refer to the above number line. Which of the points is most likely the location of   ?

Explanation:

Convert  to a decimal by dividing 5 by 9.

, so it falls between 0.55 and 0.56 on the number line. Point  is the correct response.

### Example Question #31 : Numbers And Operations

Refer to the above number line. Which of the points is most likely the location of the number  ?

Do not use a calculator.

Explanation:

, so

Point  is in this range, so this is the correct response.

### Example Question #1 : Number Lines

Refer to the above number line. Which of the points is most likely the location of the product of 2 and  ?

Do not use a calculator.

Explanation:

, so

Point  falls between 6.2 and 6.3 on the number line, so this is the correct choice.

### Example Question #1 : Number Lines

Refer to the above number line. Which of the points is most likely the location of the number  ?

Do not use a calculator.

Explanation:

, so .

Therefore, .

Of the four points,  falls in this range, so it is the correct response.

### Example Question #1 : Number Lines

On a number line, how far apart are -2 and 7?

2 units

5 units

9 units

7 units

-9 units

9 units

Explanation:

On a number line, negative numbers lie to the left of zero and positive numbers lie to the right. To count the distance, count the slots between the two numbers:

There are TWO units between -2 and 0, and there are SEVEN units between 0 and 7. Together, there are NINE units between them.

### Example Question #1 : Number Lines

On a number line, which of the following is the greatest distance?

The distance between -3 and 0.

The distance between -1 and 2.

The distance between -2 and 2.

All distances are equal.

The distance between -2 and 2.

The distance between -1 and 2.

The distance between -3 and 0.

The distance between -2 and 2.

Explanation:

On a number line, the negative numbers lie to the left of zero and positive numbers lie to the right. To visualize the distance between numbers, look at the units:

-3 and 0 are 3 units apart.

-1 and 2 are 3 units apart

-2 and 2 are 4 units apart. This is the greatest distance.

### Example Question #1 : Number Lines

Which distance is greatest?

The distance between -2 and 1.

The distance between 1 and 7.

The distance between -2 and 5.

All distances are equal.

The distance between -2 and 5.

The distance between 1 and 7.

The distance between -2 and 1.

The distance between -2 and 5.

Explanation:

Looking at a number line, you can visualize the distance between positive and negative numbers:

There are THREE units between -2 and 1

There are SIX units between 1 and 7.

There are SEVEN units between -2 and 5, so this is the greatest distance.

### Example Question #1 : Number Lines

A) The distance between -2 and 5 on a number line.

B) The distance between -1 and 3 on a number line.

3

7

5

4

6