## Math Concepts You Should Know

Here are a few math concepts that will continue to pop up as you advance in your math studies.

### Negative Exponents

Some variables will have negative exponents. A negative exponent is the reciprocal of the number to the exponent. For example 2^(-2) is 1/(2^2) or 1/4.

### Fractional Exponents

A fractional exponent is the same as the root of the fraction's denominator. 16^(1/2) is the square root of 16, or 4. 27^(1/3) is the cube root of 27, or 3. If the numerator is not 1, then you take the number to the numerator's power and then the root of the denominator. For example, 4^(3/2)=√(4³)=√64=8. In general, the equation looks like this:

### Sum, Product, Difference, Quotient

The sum is the result of addition. The answer you get when you add two or more numbers together is the sum. The product is the result of multiplication, difference of subtraction, and quotient of division.

### What are Integers?

Integers are whole numbers- negative, positive, or zero- meaning they contain no fraction or decimal. Remember that -4 is greater than -5. It trips a lot of people up under the pressure of the test.

### Prime Numbers

Be sure to memorize all the prime numbers between 1 and 51. Remember that 1 is not a prime number and there are no negative primes. I mentioned 51, and it is not a prime because 3*17=51.

### Pythagorean Sets

The SAT loves to use right triangles with exact integers for side lengths. You should memorize a few of them: 3/4/5, 5/12/13, 6/8/10, 7/24/25, and 8/15/17. Keep in mind that these are side lengths, and not measures of angles.

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