Lec 1.I (1-2) 27 scientific 5 dig its). Write X = .00123 in notation (significance is up to
Lec 1.I (1-2) 27 scientific 5 dig its). Write X = .00123 in notation (significance is up to
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Lecture 1.1 (Part 2) Notes
#### Topic: Scientific Notation
**Instruction:**
Write \( x = 0.0023 \) in scientific notation (significance up to 5 digits).
**Example:**
To convert a number like \( 0.0023 \) into scientific notation:
1. Identify the decimal point movement needed to place the leading number in the range from 1 to 10.
2. Count the number of places the decimal needs to be moved.
3. Write the number in the form of \( a \times 10^n \), where \( a \) represents the digits and \( n \) represents the number of places the decimal has moved.
For \( 0.0023 \):
- Move the decimal place 3 times to the right: \( 2.3 \times 10^{-3} \).
Thus, \( 0.0023 \) in scientific notation is \( 2.3 \times 10^{-3} \). If needed up to 5 significant digits, \( 0.002300 \) would be \( 2.3000 \times 10^{-3} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc58b2eee-5b79-4c9d-923b-d4e913d44dbe%2F58bd0cd4-1a03-4edd-9697-c7453a2bc55e%2F75i1kl9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Lecture 1.1 (Part 2) Notes
#### Topic: Scientific Notation
**Instruction:**
Write \( x = 0.0023 \) in scientific notation (significance up to 5 digits).
**Example:**
To convert a number like \( 0.0023 \) into scientific notation:
1. Identify the decimal point movement needed to place the leading number in the range from 1 to 10.
2. Count the number of places the decimal needs to be moved.
3. Write the number in the form of \( a \times 10^n \), where \( a \) represents the digits and \( n \) represents the number of places the decimal has moved.
For \( 0.0023 \):
- Move the decimal place 3 times to the right: \( 2.3 \times 10^{-3} \).
Thus, \( 0.0023 \) in scientific notation is \( 2.3 \times 10^{-3} \). If needed up to 5 significant digits, \( 0.002300 \) would be \( 2.3000 \times 10^{-3} \).
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