GED Math : Numbers and Operations

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #31 :Numbers

Give the Arabic number equivalent for the Roman numeral:

Possible Answers:

Correct answer:

Explanation:

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 #32 :Numbers

Which of the following numbers is an integer?

Possible Answers:

Correct answer:

Explanation:

Which of the following numbers is an integer?

一个整数是整个numbe任何正面或负面r, 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 #33 :Numbers

What sort of solutions are found whenis solved?

Possible Answers:

real, rational solutions

No real solutions

real, irrational solutions

real, irrational solution

Correct answer:

real, irrational solutions

Explanation:

Look at the discriminant to figure out the number of solutions.

For this equation,

Since the discriminant is positive, this means that there will bereal solutions. Since the discriminant is not a square of another number, this means that those two solutions will be irrational.

Example Question #34 :Numbers

Sarah says 3 is a rational number. Tom disagrees and says 3 is an integer. Who is right?

Possible Answers:

Tom

Sarah

42

Neither

Both

Correct answer:

Both

Explanation:

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 #35 :Numbers

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?

Possible Answers:

Correct answer:

Explanation:

A rational number is any number that can be expressed in the formwhereandare integers.

One of the answers is already in that form:is the ratio of two integers. And the repeating decimalis the decimal equivalent of that same ratio of 1:3.

is equal to 27 itself a rational number.

Butcannot be written as the ratio of two integers, so it is an irrational number.

Example Question #36 :Numbers

is the midpoint of;is the midpoint of;is the midpoint of.

What fraction ofis?

Possible Answers:

Correct answer:

Explanation:

Try thinking ofas a number line with endpointat 0, and endpointat 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.

;

isof.

Example Question #37 :Numbers

is the midpoint of;is the midpoint of;is the midpoint of.

What percent ofis?

Possible Answers:

Correct answer:

Explanation:

Try thinking ofas a number line with endpointat 0, and endpointat 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,

isof

Example Question #38 :Numbers

Numberline

Refer to the above number line. Which of the points is most likely the location of?

Possible Answers:

Correct answer:

Explanation:

Convertto a decimal by dividing 5 by 9.

Division

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

Example Question #39 :Numbers

Numberline

Refer to the above number line. Which of the points is most likely the location of the number?

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

, so

Pointis in this range, so this is the correct response.

Example Question #1 :Number Lines

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.

Possible Answers:

Correct answer:

Explanation:

, so

Pointfalls between 6.2 and 6.3 on the number line, so this is the correct choice.

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