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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?
The point lies halfway between and
, or at
.
Example Question #1 : How To Plot Fractions On A Number Line
Plot the fraction on the number line.
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 #1 : Number Lines
Find the distance between and
on a number line.
To find the distance on a number line:
Example Question #1 : Number Lines
Express this inequality statement using symbols.
= less than
= greater than
= less than or equal to
= greater than or equal to
Example Question #2 : Number Lines
Find the inequality that corresponds to the following number line.
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 x 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 #1 : Number Lines
Put in order from least to greatest.
Thus, in increasing order:
Example Question #2 : Number Lines
Find the inequality that corresponds with this number line.
When looking at the 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 #1 : Number Lines
Put the following numbers in order from least to greatest.
There is only one negative number in the numbers.
The next biggest is ,
Next is ,
Next is ,
Lastly is
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