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Chapter 0: Problem 143

Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime of 80 years. Round the decimal factor in your scientific notation answer to two decimal places.

Short Answer

Expert verified
The heart beats approximately \(2.94 \times 10^9 \) times over a lifetime of 80 years.

Step by step solution

01

Convert Years into Minutes

First, calculate the total minutes in 80 years. We know that in 1 hour there are 60 minutes, in 1 day there are 24 hours, and in 1 year there are 365 days. Therefore, \( 80 \times 365 \times 24 \times 60 \) equals 42,048,000 minutes.
02

Determine Heart Beats over 80 Years

Next, multiply the total number of beats per minute by the total number of minutes in 80 years. The heart beats approximately 70 times per minute. Therefore, \( 70 \times 42,048,000 \) equals 2,943,360,000.
03

Express in Scientific Notation

Express the number of heart beats calculated in scientific notation. This requires moving the decimal point nine places to the left because the original number is in the billions (nine digits). This results in a number between 1 and 10 multiplied by ten to the power of nine. The final result is 2.94 (rounded to two decimal places) times 10 to the power of 9, or \(2.94 \times 10^9 \).

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