Mathematic

Properties of Surds

Properties of Surds

Definitions of surds: A root of a positive real quantity is called a surd if its value cannot be exactly determined. It is a number that can’t be simplified to remove a square root (or cube root etc). For example, each of the quantities √3, ∛7, ∜19, (16)^2/5 etc. is a surd. More Examples:.....

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Subtracting Fractions with Denominator

Subtracting Fractions with Denominator

Subtracting Fractions with Denominator Subtracting fractions is done differently than the usual numbers. The denominator is the part of a fraction that is below the line and that functions as the divisor of the numerator. It’s easy to add and subtract like fractions, or fractions with the s.....

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Relating Equivalent Decimals to Fractions

Relating Equivalent Decimals to Fractions

Relating Equivalent Decimals to Fractions Decimals are a type of fractional number. The decimal 0.5 represents the fraction 5/10. The decimal 0.25 represents the fraction 25/100. Decimal fractions always have a denominator based on a power of 10. We know that 5/10 is equivalent to 1/2 since 1/2 t.....

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Product of two unlike Quadratic Surds

Product of two unlike Quadratic Surds

Definitions of surds: A root of a positive real quantity is called a surd if its value cannot be exactly determined. It is a number that can’t be simplified to remove a square root (or cube root etc). For example, each of the quantities √3, ∛7, ∜19, (16)^2/5 etc. is a surd. More Examples:.....

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Relating Fractions to Equivalent Decimals

Relating Fractions to Equivalent Decimals

Relating Fractions to Equivalent Decimals To change a fraction to a decimal, you divide the top number by the bottom number (divide the numerator by the denominator). To change a fraction to a decimal, you divide the top number by the bottom number (divide the numerator by the denominator). Some .....

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Conjugate Surds

Conjugate Surds

Conjugate Surds The sum and difference of two simple quadratic surds are said to be conjugate surds to each other. Conjugate surds are also known as complementary surds. it can be used to express a fraction which has a compound surd as its denominator with a rational denominator. You multiply the.....

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Simplifying Fractions

Simplifying Fractions

Simplifying Fractions Fractions may have numerators and denominators that are composite numbers (numbers that have more factors than 1 and itself). Simplifying (or reducing) fractions means to make the fraction as simple as possible. How to simplify a fraction: Find a common factor of the numerat.....

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Rationalization of Surds

Rationalization of Surds

Definitions of surds: A root of a positive real quantity is called a surd if its value cannot be exactly determined. It is a number that can’t be simplified to remove a square root (or cube root etc). For example, each of the quantities √3, ∛7, ∜19, (16)^2/5 etc. is a surd. More Examples:.....

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Least Common Multiple

Least Common Multiple

Least Common Multiple The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly. The LCM of two numbers is the smallest number (not zero) that is a multiple of both. How to find the Least Common Multiple of two numbers: Find the Greatest Common Factor.....

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Multiplication of Surds

Multiplication of Surds

Definitions of surds: A root of a positive real quantity is called a surd if its value cannot be exactly determined. It is a number that can’t be simplified to remove a square root (or cube root etc). For example, each of the quantities √3, ∛7, ∜19, (16)^2/5 etc. is a surd. More Examples.....

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Division of Surds

Division of Surds

Definitions of surds: A root of a positive real quantity is called a surd if its value cannot be exactly determined. It is a number that can’t be simplified to remove a square root (or cube root etc). For example, each of the quantities √3, ∛7, ∜19, (16)^2/5 etc. is a surd. More Examples:.....

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Least Common Denominator

Least Common Denominator

Least Common Denominator The Least Common Denominator (LCD) is the Least Common Multiple of two or more denominators. In mathematics, least common denominator is the least common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions. Findin.....

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