Question

Express the number in decimal form. Frames in a movie film One of the longest movies ever made is a 1970 British film that runs for 48 hours. Assuming that the film speed is 24 frames per second, approximate the total number of frames in this film. Express your answer in scientific form.

Name: Problem 59, Chapter 1: Precalculus: Functions and Graphs
Uploaded: 2021-05-20T18:53:35-08:00
Duration: 51 s
Channel: Wendi Zhao
Description: Express the number in decimal form. Frames in a movie film One of the longest movies ever made is a 1970 British film that runs for 48 hours. Assuming that the film speed is 24 frames per second, approximate the total number of frames in this film. Express your answer in scientific form.

   Express the number in decimal form.
Frames in a movie film One of the longest movies ever made is a 1970 British film that runs for 48 hours. Assuming that the film speed is 24 frames per second, approximate the total number of frames in this film. Express your answer in scientific form.

Precalculus: Functions and Graphs

Earl W. Swokowski,… 12th Edition

Chapter 1, Problem 59

Instant Answer

Solved by Expert Wendi Zhao

05/20/2021

Step 1

Since there are 60 minutes in an hour and 60 seconds in a minute, we multiply 48 hours by 60 and then by 60 again to get the total number of seconds. This gives us $48 \times 60 \times 60 = 172,800$ seconds. Show more…

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Express the number in decimal form. Frames in a movie film One of the longest movies ever made is a 1970 British film that runs for 48 hours. Assuming that the film speed is 24 frames per second, approximate the total number of frames in this film. Express your answer in scientific form.

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Key Concepts

Scientific Notation

Scientific notation is a method for expressing very large or very small numbers in a compact format, as the product of a number between 1 and 10 and a power of 10. This technique simplifies handling, comparing, and performing arithmetic operations on numbers that would otherwise be unwieldy in standard decimal form.

Time Conversion

This concept involves converting time units to maintain consistency in calculations. In many problems, including calculating movie frames, hours are converted to seconds by multiplying by 3600, ensuring that all units match for further arithmetic operations.

Rate Calculation

This key concept refers to determining a total count based on a given rate over time. In the context of frame-based calculations, the frame rate (frames per second) is multiplied by the total number of seconds to identify the overall quantity of frames. It emphasizes the importance of uniformly multiplying rate and time intervals.

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