All GED Math Resources
Example Questions
Example Question #31 : Numbers
Give the Arabic number equivalent for the Roman numeral:
The Roman numeral can be broken down as follows:
:
:
; since the smaller-valued symbol precedes the greater-valued symbol, this is a subtraction, so .
:
Add these: , the correct response.
Example Question #31 : Ged Math
Which of the following numbers is an integer?
Which of the following numbers is an integer?
An integer is any positive or negative whole number, including 0.
is the ratio of circumference to diameter, and is a never ending decimal
and is known as an imaginary number.
-46.4 is a decimal, and thus not an integer.
Therefore our only integer here is 0
Example Question #32 : Types Of Numbers And Number Theory
What sort of solutions are found when is solved?
real, irrational solution
real, irrational solutions
No real solutions
real, rational solutions
real, irrational solutions
Look at the discriminant to figure out the number of solutions.
For this equation,
Since the discriminant is positive, this means that there will be real solutions. Since the discriminant is not a square of another number, this means that those two solutions will be irrational.
Example Question #32 : Ged Math
Sarah says 3 is a rational number. Tom disagrees and says 3 is an integer. Who is right?
Tom
42
Sarah
Neither
Both
Both
They are both correct.
3 is most certainly an integer as integers are our positive and negative whole numbers.
Sarah is right too. Rational numbers are any number that can be written as a fraction of integers. 3 can be written as a fraction , so it is a rational number too.
In fact, all integers are rational (but not all rational numbers are integers)
Example Question #31 : Numbers And Operations
The set of real numbers is divided into several subsets including positive numbers and negative numbers, prime numbers and composite number, rational numbers and irrational numbers, etc. For the following questions, select the answer that is a member of the stated subset.
Which number is irrational?
A rational number is any number that can be expressed in the form where and are integers.
One of the answers is already in that form: is the ratio of two integers. And the repeating decimal is the decimal equivalent of that same ratio of 1:3.
is equal to 27 itself a rational number.
But cannot be written as the ratio of two integers, so it is an irrational number.
Example Question #1 : Number Lines
is the midpoint of ; is the midpoint of ; is the midpoint of .
What fraction of is ?
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 #2 : Number Lines
is the midpoint of ; is the midpoint of ; is the midpoint of .
What percent of is ?
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 : Ged Math
Refer to the above number line. Which of the points is most likely the location of ?
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 #2 : 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.
, so
Point is in this range, so this is the correct response.
Example Question #2 : 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.
, so
Point falls between 6.2 and 6.3 on the number line, so this is the correct choice.
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