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Expressing Numbers in Polynomial and Exponential Form

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Expressing Numbers in Polynomial and Exponential Form

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Questions and Answers

How is a number represented in polynomial form?

By separating into units, tens, hundreds, etc. (correct)

By using powers of 10

By multiplying each digit by powers of 10

By emphasizing the relationship between zeros and ones

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

Representing each digit as a power of 10

Emphasizing the relationship between zeros and ones

Separating the number into individual parts

Using the concept of powers of 10 (correct)

What is the key difference between polynomial and exponential forms?

The use of powers of 10

Multiplying each digit by powers of 10

Emphasis on relationships between zeros and ones

Separating into units, tens, hundreds, etc. (correct)

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

Using powers of 10 for representation Signup and view all the answers

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

Using individual parts for representation Signup and view all the answers

¿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 Signup and view all the answers

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 Signup and view all the answers

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 Signup and view all the answers

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

Cada término representa el valor posicional de las unidades, decenas, centenas, etc. Signup and view all the answers

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 Signup and view all the answers

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.

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Description

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.