Expressing Numbers in Polynomial and Exponential Form

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ImaginativeSarod
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10 Questions

How is a number represented in polynomial form?

By separating into units, tens, hundreds, etc.

What is the main characteristic of expressing a number in exponential form?

Using the concept of powers of 10

What is the key difference between polynomial and exponential forms?

Separating into units, tens, hundreds, etc.

What concept is central to expressing a number in exponential form?

Using powers of 10 for representation

How does polynomial form differ from exponential form in representing numbers?

Using individual parts for representation

¿Cuál de las siguientes expresiones representa correctamente al número 7,456,832 en forma polinómica?

70 millones + 4 millones + 500,000 + 60,000 + 1,800 + 30 + 2

En la expresión exponencial $7 * 10^{7} + 4 * 10^{6} + 5 * 10^{5} + 6 * 10^{4} + 7 * 10^{3} + 8 * 10^{2} + 3 * 10^{1} + 2 * 10^{0}$, ¿qué representa el exponente 7 en $10^{7}$?

El valor posicional de las unidades de millón

Si un número se expresa como $5 * 10^{4} + 2 * 10^{3} + 8 * 10^{2} + 6 * 10^{1} + 3 * 10^{0}$, ¿cuál es su forma polinómica?

50,000 + 2,000 + 800 + 60 + 3

¿Cuál de las siguientes afirmaciones sobre la forma exponencial es FALSA?

Cada término representa el valor posicional de las unidades, decenas, centenas, etc.

Si se tiene el número $3 * 10^{5} + 7 * 10^{4} + 2 * 10^{3} + 9 * 10^{2} + 1 * 10^{1} + 8 * 10^{0}$, ¿cuál es su valor numérico?

372,918

Study Notes

  • The text explains how to express a number in polynomial form and exponential form using the example number 7456 7,832.
  • In polynomial form, the number is separated into units, tens, hundreds, thousands, and so on, with each part represented individually.
  • In exponential form, powers of 10 are used to represent the number, where each digit is multiplied by the corresponding power of 10.
  • The text emphasizes the relationship between the zeros in the polynomial form and powers of 10 in the exponential form.
  • It shows the step-by-step process of expressing the number 7456 7,832 in both polynomial and exponential forms using the concept of powers of 10.

Learn how to express numbers in polynomial form and exponential form using the example number 7456 7,832. Understand the relationship between zeros in polynomial form and powers of 10 in exponential form through a step-by-step process.

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