The diameter of a human hair is 9 . 10-5 meters. The diameter of a spider's silk is 3.10-6 meters. How much greater is the diameter of a human hair than the diameter of a spider's silk? Write your answer in scientific notation. meters
The diameter of a human hair is 9 . 10-5 meters. The diameter of a spider's silk is 3.10-6 meters. How much greater is the diameter of a human hair than the diameter of a spider's silk? Write your answer in scientific notation. meters
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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![### Scientific Notation Word Problems
**Problem:**
The diameter of a human hair is \(9 \times 10^{-5}\) meters. The diameter of a spider's silk is \(3 \times 10^{-6}\) meters.
**Question:**
How much greater is the diameter of a human hair than the diameter of a spider's silk?
*Write your answer in scientific notation.*
\[ \text{Answer:} \quad \_\_\_\_ \text{ meters} \]
**Explanation:**
In this problem, you compare the size of two very small measurements using scientific notation. The diameter of a human hair is given as \(9 \times 10^{-5}\) meters, and the spider's silk is \(3 \times 10^{-6}\) meters. To find how much greater the diameter of the human hair is, you will divide the two numbers which involves:
1. Dividing the numbers 9 by 3.
2. Subtracting the exponents \(-5\) and \(-6\) in powers of 10.
Fill in the box with your answer in scientific notation form.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1720e307-edf6-4a18-9a97-609a8d90f777%2Fec3052ae-c028-4c2e-8ccd-673c7a3df733%2F33ft6j9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Scientific Notation Word Problems
**Problem:**
The diameter of a human hair is \(9 \times 10^{-5}\) meters. The diameter of a spider's silk is \(3 \times 10^{-6}\) meters.
**Question:**
How much greater is the diameter of a human hair than the diameter of a spider's silk?
*Write your answer in scientific notation.*
\[ \text{Answer:} \quad \_\_\_\_ \text{ meters} \]
**Explanation:**
In this problem, you compare the size of two very small measurements using scientific notation. The diameter of a human hair is given as \(9 \times 10^{-5}\) meters, and the spider's silk is \(3 \times 10^{-6}\) meters. To find how much greater the diameter of the human hair is, you will divide the two numbers which involves:
1. Dividing the numbers 9 by 3.
2. Subtracting the exponents \(-5\) and \(-6\) in powers of 10.
Fill in the box with your answer in scientific notation form.
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