# GED Math : Numbers

## Example Questions

### Example Question #6 : 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 #7 : Number Lines

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

7 units

9 units

-9 units

5 units

2 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 #41 : Numbers

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.

The distance between -1 and 2.

The distance between -3 and 0.

The distance between -2 and 2.

All distances are equal.

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 #9 : Number Lines

Which distance is greatest?

The distance between -2 and 1.

The distance between 1 and 7.

The distance between -2 and 5.

The distance between -2 and 1.

All distances are equal.

The distance between -2 and 5.

The distance between 1 and 7.

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 #10 : Number Lines

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

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

4

3

5

6

7

3

Explanation:

The first step is to find out the values of A and B by counting the units between the given numbers.

A) The distance between -2 and 5 on a number line is 7.

B) The distance between -1 and 3 on a number line is 4.

### Example Question #42 : Numbers

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

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

C) The distance between -2 and 3 on a number line.

8

5

16

12

2

12

Explanation:

To find the distance between any two numbers on a number line, remember that negative numbers lie to the left of zero and positive numbers lie to the right. This is easier to do understand with a picture:

A) The distance between -3 and 1 on a number line is 4.

B) The distance between 2 and 5 on a number line is 3.

C) The distance between -2 and 3 on a number line is 5.

### Example Question #43 : Numbers

A) The distance between -3 and 0.

B) The distance between -1 and 2.

C) The distance between -2 and 2.

11

10

3

5

4

10

Explanation:

To find the sum of these values, you first need to find each individual difference. Use a number line to help visualize the distance between each pair of numbers:

A) The distance between -3 and 0 is 3.

B) The distance between -1 and 2 is 3.

C) The distance between -2 and 2 is 4.

### Example Question #44 : Numbers

Which of the following number lines represents the inequality ?

Explanation:

Start by solving the inequality.

Thus, the correct answer should show as  between .

Recall that a  sign means that there should be an open circle on the number line, and that a  sign needs to have a closed circle on the number line.

### Example Question #1 : Decimals And Fractions

Convert the following decimal into a fraction:

Explanation:

The decimal, , is read as two-hundred forty-three thousandths, which translates to:

### Example Question #2 : Decimals And Fractions

Convert the following fraction to a decimal: