Answered: In the following diagram: The area of…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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$## Explore ### In the following diagram: - The area of the medium rectangle is 10 times greater than the area of the small square. - The area of the large square is 10 times greater than the area of the medium rectangle. **Diagram Explanation:** The diagram consists of three shapes: 1. A large square grid divided into 10 columns and 10 rows, forming 100 small squares. 2. A medium rectangle grid divided into 10 columns and 10 rows, but only 10 rows visible, forming 10 small squares. 3. A small square grid, which is a single square unit. ### Answer the questions using powers of 10. Question 1 is done for you. 1. If the medium rectangle represents $10^1$, what does the large square represent? - $10^1 \times 10 = 10^2$ 2. If each small square represents $10^2$, then what does the medium rectangle represent? - *Answer: (Students to fill in)* 3. If the medium rectangle represents $10^5$, then what does the large square represent? - *Answer: (Students to fill in)* 4. If the large square represents $10^{100}$, then what does the medium rectangle represent? The small square? - *Answer: (Students to fill in)* ### Notes: - Students, draw anywhere on this slide! - Pear Deck logo and note at the bottom stating "Students, draw anywhere on this slide!" *Remember to review the powers of 10 and how they scale when multiplied!*$

Transcribed Image Text:## Explore ### In the following diagram: - The area of the medium rectangle is 10 times greater than the area of the small square. - The area of the large square is 10 times greater than the area of the medium rectangle. **Diagram Explanation:** The diagram consists of three shapes: 1. A large square grid divided into 10 columns and 10 rows, forming 100 small squares. 2. A medium rectangle grid divided into 10 columns and 10 rows, but only 10 rows visible, forming 10 small squares. 3. A small square grid, which is a single square unit. ### Answer the questions using powers of 10. Question 1 is done for you. 1. If the medium rectangle represents $10^1$, what does the large square represent? - $10^1 \times 10 = 10^2$ 2. If each small square represents $10^2$, then what does the medium rectangle represent? - *Answer: (Students to fill in)* 3. If the medium rectangle represents $10^5$, then what does the large square represent? - *Answer: (Students to fill in)* 4. If the large square represents $10^{100}$, then what does the medium rectangle represent? The small square? - *Answer: (Students to fill in)* ### Notes: - Students, draw anywhere on this slide! - Pear Deck logo and note at the bottom stating "Students, draw anywhere on this slide!" *Remember to review the powers of 10 and how they scale when multiplied!*

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