Solving Equations with Decimal Coefficients and involving Decimal Division Video Tutorial
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Solving Equations with Decimal Coefficients and involving Decimal Division
The tutorial will show you how to solve the linear equation for missing variable, k. You need to combine like terms, the variables, k, first. Then, you need to simplify by using additive inverses and then to continue to solve for k.
Solving equations with decimal coefficients and involving decimal division involves algebra, algebraic equations, algebraic expressions, algebraic fractions, arithmetic, arithmetic operations, coefficients, decimal coefficients, decimal division, decimals, division, division of decimals, equations, expressions, fractions, linear equations, number sense, numbers, operations, operations with decimals, solving equations, solving linear equations.
Algebra
Algebra is a branch of mathematics concerning the study of structure, relation and quantity.
Together with geometry, analysis, combinatorics, and number theory, algebra is one of the main branches of mathematics. Elementary algebra is often part of the curriculum in secondary education and provides an introduction to the basic ideas of algebra, including effects of adding and multiplying numbers, the concept of variables, definition of polynomials, along with factorization and determining their roots.
Algebra is much broader than elementary algebra and can be generalized. In addition to working directly with numbers, algebra covers working with symbols, variables, and set elements. Addition and multiplication are viewed as general operations, and their precise definitions lead to structures such as groups, rings and fields.
Algebraic Expressions
An algebraic expression is an expression that is written using one or more variables.
Examples:
2x x – 6 3b + 4 p + q
Division
Division is essentially the opposite of multiplication. Division finds the quotient of two numbers, the dividend divided by the divisor. Any dividend divided by zero is undefined. For positive numbers, if the dividend is larger than the divisor, the quotient will be greater than one, otherwise it will be less than one (a similar rule applies for negative numbers). The quotient multiplied by the divisor always yields the dividend.
Division is neither commutative nor associative. As it is helpful to look at subtraction as addition, it is helpful to look at division as multiplication of the dividend times the reciprocal of the divisor, that is a ÷ b = a × 1/b. When written as a product, it will obey all the properties of multiplication.
Equations
An equation is a mathematical statement, in symbols, that two things are the same (or equivalent). Equations are written with an equal sign. Equations are often used to state the equality of two expressions containing one or more variables.
Expressions
An expression is a combination of numbers, operators, grouping symbols (such as brackets and parentheses) and/or free variables and bound variables arranged in a meaningful way which can be evaluated. Bound variables are assigned values within the expression (they are for internal use) while free variables can take on values from outside the expression.
Fractions
In mathematics, a fraction is a concept of a proportional relation between an object part and the object whole. Each fraction consists of a denominator (bottom) and a numerator (top), representing (respectively) the number of equal parts that an object is divided into, and the number of those parts indicated for the particular fraction.
Solving Equations
Solving an equation means finding a value for the variable that makes the equation true.
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