Number Lines

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GED Math › Number Lines

Questions 1 - 10
1

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

2

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 .

3

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

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

3

4

7

6

5

Explanation

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

Number_line4

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.

4

Numberline_1

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.

5

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

9 units

5 units

2 units

7 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:

Number_line

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

6

Numberline

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.

7

Numberline

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.

Division

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

8

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.

12

8

16

5

2

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:

Number_line5

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.

9

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 -2 and 2.

The distance between -3 and 0.

The distance between -1 and 2.

All distances are equal.

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:

Number_line2

-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.

10

A) The distance between -3 and 0.

B) The distance between -1 and 2.

C) The distance between -2 and 2.

10

3

4

11

5

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:

Number_line2

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.

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