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Helpful articles, lessons, student guides, workshops, and other resources.
How to Find the Area and Circumference of Circles

How to Find the Area and Circumference of Circles


The Circumference of a circle or the perimeter of a circle is the measurement of its boundary. Where the circle’s describes the region it occupied.  If a circle is opened and you make it into a straight line, its length is its circumference.
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What is The Pythagorean Theorem

What is The Pythagorean Theorem


Pythagoras theorem says if a triangle is right-angled (\(90\) degrees), the square of the hypotenuse is equal to the sum of the squares of the other \(2\) sides.
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How to Solve Probability Problems

How to Solve Probability Problems


It is possible to solve a lot of easy probability problems merely by understanding \(2\) basic rules, which are:
  • The possibility of any sample point could be in a range of \(0\) to \(1\).
  • The total probabilities of all the sample points within a sample space equals \(1\).

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How to Solve Zero and Negative Exponents

How to Solve Zero and Negative Exponents


Zero Exponents: Anything (a real number) raised to the power zero would always give the result as one. So, this means \(a^0 \ = \ 1\).
Negative Exponents: A negative exponent tells us how many times we must multiply the reciprocal of the base in order to get the result ...
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How to Solve Powers of Products and Quotients

How to Solve Powers of Products and Quotients


In order to simplify a product’s power in \(2\) exponential expressions, one can utilize the power of a product rule of exponents. This separates the power of a product of factors into the product of the powers of the factors. For example, look at \((pq)^3\). You start via utilizing the associative and commutative properties of multiplication for regrouping the factors.
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How to Divide Exponents

How to Divide Exponents


Some division properties of exponents are:
  • The Law of Quotients states that \(\frac{a^m}{a^n} \ = \ a^{m \ - \ n}\)
  • The Power of a Quotient is defined as \((\frac{a}{b})^m \ = \ \frac{a^m}{b^m}\)

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How to Multiply Binomials

How to Multiply Binomials


While multiplying binomials, take note of the following steps:
  • When you are multiplying binomials, always remember the exponents rule. Multiplication always leads to addition of exponent terms of the same variables.
  • Next, you should always use the distributive property while multiplying ...

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How to Divide Monomials

How to Divide Monomials


To divide monomials, follow these steps:
  • While dividing monomials, we must divide separately the coefficients and the variables.
  • Next, for exponent values with the same base, we must subtract the exponents.
  • Then, simplify the expression.

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How to Add and Subtract Polynomials

How to Add and Subtract Polynomials


To do addition or subtraction in a polynomial expression, apply the below-mentioned steps:
  • First, simplify the expression by adding/subtracting the like terms. Also. Don’t forget to apply PEMDAS rule in case of brackets or parenthesis.
  • Also, wherever possible, use the distributive property.

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