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  2. What is the definition of "standard form"? - Socratic

    socratic.org/questions/what-is-the-definition-of-standard-form

    Terms. Help. standard form is a way of writing large or small numbers easily. see below for example Write 81 900 000 000 000 in standard form: 81 900 000 000 000 = 8.19 × 10^13 the 13 means that the decimal point was moved 13 times and the 10 b/c it's a zero and you always use that so hence why the 10^13.

  3. Standard Form of the Equation - Precalculus - Socratic

    socratic.org/precalculus/geometry-of-a-parabola/standard-form-of-the-equation

    The standard for for the equation of a parabola (also called the vertex form) is like the standard form for other conic sections. For a parabola with vertex (h,k) through the points (h ± 1,k +a), (that is, it opens up or down) the standard form is y = a(x − h)2 +k. (If the parabola opens sideways, it includes the points (h +a,k ± 1) and has ...

  4. How do you write the standard form of a line given undefined ......

    socratic.org/questions/how-do-you-write-the-standard-form-of-a-line-given...

    See the solution process below: If the slope of the line is undefined then by definition this is a vertical line. Vertical lines have the equation x = a where a is the same value for x for each and every value of y. The point in this problem has a value for x of 4.

  5. Polynomials in Standard Form - Algebra - Socratic

    socratic.org/algebra/polynomials-and-factoring/polynomials-in-standard-form

    Standard form simply refers to the format of a mathematical expression where the terms are arranged by decreasing order of degree. Where the degree is determined by the exponent value of the variable of each term. For quadratic equations the standard form is #ax^2 + bx + c# Where #ax^2# has a degree of 2 #bx# has a degree of 1

  6. How do you write y - 10 = -(x - 2) in standard form? - Socratic

    socratic.org/questions/how-do-you-write-y-10-x-2-in-standard-form

    The most common definition of "standard form" for a linear equation is Ax+By=C Converting y-10=-(x-2) to standard form: y = -x+2+10 x+y = 12

  7. How do you write y - 2 = - 1/2 (x - 4) in standard form? -...

    socratic.org/questions/how-do-you-write-y-2-1-2-x-4-in-standard-form

    The standard form of a linear equation is: Ax + By = C. Where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1. To start, multiply each side of the equation by 2 to eliminate the fraction and keep the equation balanced: 2(y − 2) = 2 × − 1 2(x −4)

  8. What is radical form? - Socratic

    socratic.org/questions/what-is-radical-form

    When any number appears under these signs, that is called a radicand and the expression as a whole is called a radical. This is what the radical form means. These are all irrational numbers, which means they cannot be expressed as a fraction in the form p q where p and q are integers. In mathematics, radical signs are, sqrt , root3 , root4.....

  9. Vertex Form of a Quadratic Equation - Algebra | Socratic

    socratic.org/algebra/quadratic-equations-and-functions/vertex-form-of-a...

    How do you find the standard form of the equation for the parabola with vertex (4,0) and passing through the point (1,2)? How do you find the vertex of #y = 4x^2 + 8x + 7#? How do you find the vertex of #y = -3x^2 + 12x – 7#?

  10. How do you write #y=3x+1# in standard form using integers?

    socratic.org/questions/how-do-you-write-y-3x-1-in-standard-form-using-integers

    The standard form of a linear equation is: Ax + By = C. Where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1. First, subtract 3x from each side of the equation to place the x and y terms on the left side of the equation as required by the definition: −3x + y = − 3x ...

  11. How does scientific notation differ from standard notation?

    socratic.org/questions/how-does-scientific-notation-differ-from-standard-notation

    As detailed below. Hope this helps. Scientific notation (also referred to as scientific form or standard index form, or standard form in the UK) is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or ...