Pre-Algebra : Number Lines

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #1 : Number Lines

Which of the following numbers is depicted by the point on the number line?

Number_2

Possible Answers:

Correct answer:

Explanation:

The point lies halfway between  and , or at .

Example Question #2 : Number Lines

Plot the fraction  on the number line.

Possible Answers:

Question_11_incorrect_3

Question_11_correct

Question_11_incorrect_2

Question_11_incorrect_1

Correct answer:

Question_11_correct

Explanation:

The fraction  is less than  and greater than , so it must fall between those points on the number line. Negative numbers are to the left of  while positive numbers are to the right.

Because  is less than , the point must be closer to  than .

Example Question #78 : Number Theory

Find the distance between  and  on a number line.

Possible Answers:

Correct answer:

Explanation:

To find the distance on a number line:

Example Question #3 : Number Lines

Express this inequality statement using symbols.

 

Possible Answers:

Correct answer:

Explanation:

 = less than

 = greater than

 = less than or equal to

 = greater than or equal to

Example Question #4 : Number Lines

Find the inequality that corresponds to the following number line.Inequality

Possible Answers:

Correct answer:

Explanation:

Inequality

When looking at the number line, we can see that x is any integer between 2 and 7.  

Anything to the right of an integer is considered "greater than" and anything left of an integer is considered "less than".

So, we know that x is greater than 2, but less than 7.

Now, since the circle above the 2 is shaded in, 2 is included in the solution.  The circle above the 7 is not shaded in, so 7 is not included in the solution.

We now know that is greater than or equal to 2, and it is still less than 7. 

Using the statement above, we will create 2 inequalities.

 

Now,    can also be written as    .  It has the same value, it just looks a little different.

 

So we have the two inequalities

  and 

 

We can combine them, and it'll look like this

 

Example Question #3 : Number Lines

Put in order from least to greatest.

Possible Answers:

Correct answer:

Explanation:

Thus, in increasing order:

Example Question #6 : Number Lines

Find the inequality that corresponds with this number line.

Number line

Possible Answers:

Correct answer:

Explanation:

When looking at the number line,

Number line

we see at -5 there is a filled in circle.  We also see there is an arrow going to the right of -5.  Every integer to the right of -5 is greater than -5 itself.  Because the circle above -5 is filled in, we know -5 is included in the inequality.  We get

Example Question #7 : Number Lines

Put the following numbers in order from least to greatest.

Possible Answers:

Correct answer:

Explanation:

There is only one negative number in the numbers.

The next biggest is ,

Next is ,

Next is ,

Lastly is 

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