Understanding Powers in Mathematics

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Questions and Answers

What is a power?

  • A symbol representing division
  • A shortcut for multiplication (correct)
  • A shortcut for addition
  • A symbol representing subtraction

How are powers written?

  • With the base number at the bottom and the exponent at the top (correct)
  • With the exponent at the bottom
  • With the base number at the top
  • With the base number inside a square symbol

What does 'to the square' mean in mathematical terms?

  • Dividing a number by 2
  • Multiplying a number by 3
  • Multiplying a number by 2
  • Multiplying a number by itself twice (correct)

What does 4 cubed mean?

<p>$4^3$ (D)</p> Signup and view all the answers

What is the result of any number raised to the power of 1?

<p>The number itself (A)</p> Signup and view all the answers

¿Cuál de las siguientes variables se clasifica como cuantitativa discreta?

<p>Cantidad de hermanos de una persona (D)</p> Signup and view all the answers

¿Qué variable es cuantitativa continua?

<p>Distancia de la casa de un estudiante al Colegio (A)</p> Signup and view all the answers

¿Cuál de las siguientes variables NO es cuantitativa?

<p>Suma de puntos tenidos en el lanzamiento de un par de dados (B)</p> Signup and view all the answers

¿Qué variable es más probable que sea una variable cualitativa?

<p>El promedio de goles por partido de un Mundial de Fútbol (D)</p> Signup and view all the answers

¿Cuál de las siguientes variables es más probable que sea una variable continua?

<p>Número de litros de agua contenidos en un depósito (C)</p> Signup and view all the answers

¿Cuál de las siguientes variables se clasifica como cuantitativa discreta?

<p>'La cantidad de meses de un año' (C)</p> Signup and view all the answers

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Study Notes

  • A power is a shortened way of writing a multiplication where a factor is repeated multiple times. The base is the number being repeated (e.g., 7 or 9) and the exponent indicates how many times the base is repeated.
  • Powers are written with the base number at the bottom and the exponent (indicating repetition) written as a small number on top.
  • Special names are given to powers with exponents of 2 and 3: "to the square" for 2 and "to the cube" for 3. For example, 5 squared is read as 5 to the power of 2.
  • Understanding the product of powers involves correctly multiplying the base number by itself the number of times indicated by the exponent. For instance, 2 cubed means multiplying 2 by itself three times.
  • Notably, any number raised to the power of 1 will always equal that number. For example, 10 to the power of 1 equals 10, and 1 to the power of any number equals 1.

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