All High School Math Resources
Example Questions
Example Question #1 :Algebra Ii
Without using a calculator, which of the following is the best estimate for?
We know thatand.
Because 90 falls is approximately halfway between 81 and 100, the square root of 90 is approximately halfway between 9 and 10, or 9.5.
Example Question #2 :Number Theory
Place in order from smallest to largest:
To place in order, first we must find a common denominator and convert all fractions to that denominator.
have a common denominator of.
have a common denominator of.
have a common denominator of.
Therefore we can use common denominators to make all of the fractions look similar. Then the ordering becomes trivial.
Example Question #3 :Number Theory
What number isof?
For percent problems there are verbal cues:
"IS" means equals and "OF" means multiplication.
Then the equation to solve becomes:
Example Question #4 :Number Theory
Which of the following isNOTa real number?
We are looking for a number that is not real.
,, andare irrational numbers, but they are still real.
Then,相当于by the rules of complex numbers. Thus, it is also real.
That leaves us with:which in fact is imaginary (since no real number multiplied by itself yields a negative number) and simplifies to.
Example Question #5 :Number Theory
Which of the following are considered real numbers?
Real numbers can be found anywhere on a continuous number line ranging from negative infinity to positive infinity; therefore, all of the numbers are real numbers.
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