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andrew-mc [135]
3 years ago
14

Find the area of the figure shown below. What strategies have you used?

Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:

6 units²

Step-by-step explanation:

The strategies to use in finding the area of the figure shaded below are:

1. Consider each grid square as having a width of 1 unit, and a lenght/height of 1 unit.

2. Area of 1 grid square = 1*1 = 1 units²

3. Area of 1 full grid square = 1 unit², area of half grid square = ½ of 1 = ½ units²

4. Count the number of full grid squares and multiply it by 1 unit²

Thus, number of full grid squares = 4

Area of full grid squares = 4*1 = 4 units²

5. Count the number of half grid squares and multiply by ½ units²

There are 4 half grid squares.

Area of half grid squares = 4*½ = 2 units²

6. Add the areas of the full grid squares and the half grid squares to get the area of the figure:

Area of the figure = 4 + 2 = 6units²

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Cual es el resultado de (7.006×10⁴¹)×(5.09×10²²)<br><br>​
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Answer:

El resultado de (7.006×10⁴¹)×(5.09×10²²)=3.566054*10⁶⁴

Step-by-step explanation:

La notación científica es una manera rápida de representar un número utilizando potencias de base diez.

Los números se escriben como:

a*10ⁿ

donde:  

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  • n es un número entero, que recibe el nombre de exponente u orden de magnitud. Representa el número de veces que se desplaza la coma. Siempre es un número entero, positivo si se desplaza a la izquierda, negativo si se desplaza a la derecha.

Para realizar la multiplicación con notación científica, debes multiplicar las magnitudes afectadas por las potencias de 10 y, por separado, multiplicar las potencias de 10, recordando la propiedad:

  • Si dos bases son iguales (el mismo número o variable), y son los factores de una multiplicación, ambas bases quedan en una sola y sus exponentes son sumados: xᵃ*xᵇ= xᵃ⁺ᵇ

En este caso:

(7.006×10⁴¹)×(5.09×10²²)=(7.006*5.09)*(10⁴¹*10²²)=35.66054*10⁴¹⁺²²= 35.66054*10⁶³

Siguiendo el formato a*10ⁿ, debes ajustar el valor de la base a de manera que sea un número real mayor que 1 y menor que 10. Entonces, se mueve la coma decimal hacia la izquierda tantos espacios hasta llegar a la derecha del primer dígito.  Y se escribe la base 10, al cual el exponente se suma la cantidad de espacios que se mueve la coma, que es un número positivo porque la coma se desplaza a la izquierda.

Entonces 35.66054*10⁶³= 3.566054*10⁶⁴

<u><em>El resultado de (7.006×10⁴¹)×(5.09×10²²)=3.566054*10⁶⁴</em></u>

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