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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
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 \( 2.3000 \times 10^{-3} \).
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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