How to Solve Scientific Notation? (+FREE Worksheet!)
Learn how to solve mathematics problems containing scientific notation in a few simple and easy steps.
Related Topics
- How to Solve Powers of Products and Quotients
- How to Multiply Exponents
- How to Divide Exponents
- How to Solve Zero and Negative Exponents
- How to Solve Negative Exponents and Negative Bases
Step by step guide to solve scientific notation problems
- Scientific notation is used to write very big or very small numbers in decimal form.
- In scientific notation all numbers are written in the form of: \(m×10^n\)
| Decimal notation | Scientific notation |
| \( 5 \) | \(5 \times 10^0 \) |
| \(-25,000\) | \(-2.5 \times 10^4\) |
| \(0.5\) | \(5 \times 10^{ \ -1} \) |
| \(2,122\) | \(2.122 \times 10^{\ 3}\) |
Scientific Notation – Example 1:
Write \(0.00015\) in scientific notation.
Solution:
First, move the decimal point to the right so that you have a number that is between \(1\) and \(10\). Then: \(N=1.5\)
Second, determine how many places the decimal moved in step \(1\) by the power of \(10\).
Then: \(10^{ \ -4} →\) When the decimal is moved to the right, the exponent is negative.
Then: \(0.00015=1.5×10^{ \ -4} \)
The Absolute Best Books to Ace Pre-Algebra to Algebra II
Scientific Notation – Example 2:
Write \(9.5 \times 10^{\ -5}\) in standard notation.
Solution:
\(10^{-5} →\) When the decimal is moved to the right, the exponent is negative.
Then: \(9.5×10^{-5}=0.000095\)
Scientific Notation – Example 3:
Write \(0.00012\) in scientific notation.
Solution:
First, move the decimal point to the right so that you have a number that is between \(1\) and \(10\). Then: \(N=1.2\)
Second, determine how many places the decimal moved in step \(1\) by the power of \(10\).
Then: \(10^{-4}→ \) When the decimal is moved to the right, the exponent is negative.
Then: \(0.00012=1.2×10^{-4}\)
Scientific Notation – Example 4:
Write \(8.3×10^{-5}\) in standard notation.
Solution:
\(10^{-5} →\) When the decimal is moved to the right, the exponent is negative.
Then: \(8.3×10^{-5}=0.000083\)
Exercises for Solving Scientific Notation
Write each number in scientific notation.
- \(\color{blue}{91 × 10^3}\)
- \(\color{blue}{60}\)
- \(\color{blue}{2000000}\)
- \(\color{blue}{0.0000006}\)
- \(\color{blue}{354000}\)
- \(\color{blue}{0.000325}\)
Download Scientific Notation Worksheet
- \(\color{blue}{9.1 × 10^4}\)
- \(\color{blue}{6 × 10^1}\)
- \(\color{blue}{2 × 10^6}\)
- \(\color{blue}{6 × 10^{–7}}\)
- \(\color{blue}{3.54 × 10^5}\)
- \(\color{blue}{3.25 × 10^{–4}}\)
The Greatest Books for Students to Ace the Algebra
Related to This Article
More math articles
- Top 10 8th Grade SBAC Math Practice Questions
- Full-Length PSAT 10 Math Practice Test
- A Complete Explanation of the Continuity over an Interval
- A Journey Through Math: How to Solve Word Problems Involving Percent Error
- 8th Grade PSSA Math FREE Sample Practice Questions
- Full-Length CLEP College Mathematics Practice Test
- The Ultimate MAP Algebra 1 Course (+FREE Worksheets)
- 5th Grade OAA Math Worksheets: FREE & Printable
- How to Compare and Order Rational Numbers?
- 5 Bеѕt саlсulаtоrѕ fоr ѕtаtiѕtiсѕ
What people say about "How to Solve Scientific Notation? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.