Write in scientific notation. 0.00000125 0.00000125 = (Use the multiplication symbol in the math palette as needed.)
Write in scientific notation. 0.00000125 0.00000125 = (Use the multiplication symbol in the math palette as needed.)
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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Question
![**Scientific Notation Exercise**
The task is to express the number **0.00000125** in scientific notation.
**Given:**
0.00000125
**Convert to scientific notation:**
0.00000125 = [ _____ ]
*(Use the multiplication symbol in the math palette as needed.)*
---
**Explanation:**
To express 0.00000125 in scientific notation, the number must be represented in the form \(a \times 10^n\), where \(1 \leq a < 10\) and \(n\) is an integer.
1. Move the decimal point in 0.00000125 seven places to the right to get 1.25.
2. Since the decimal was moved to the right, the exponent will be negative.
Therefore, 0.00000125 is written as \(1.25 \times 10^{-6}\) in scientific notation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde70baf6-6a16-40f4-88c8-03e4ca10721b%2F54a1ea1c-01d1-4491-9b45-53ab830071eb%2Fsvt35xgb_processed.png&w=3840&q=75)
Transcribed Image Text:**Scientific Notation Exercise**
The task is to express the number **0.00000125** in scientific notation.
**Given:**
0.00000125
**Convert to scientific notation:**
0.00000125 = [ _____ ]
*(Use the multiplication symbol in the math palette as needed.)*
---
**Explanation:**
To express 0.00000125 in scientific notation, the number must be represented in the form \(a \times 10^n\), where \(1 \leq a < 10\) and \(n\) is an integer.
1. Move the decimal point in 0.00000125 seven places to the right to get 1.25.
2. Since the decimal was moved to the right, the exponent will be negative.
Therefore, 0.00000125 is written as \(1.25 \times 10^{-6}\) in scientific notation.
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