Understanding Scientific Notation: Converting, Multiplying, Dividing & More

Scientific notation is a way to express large or small numbers efficiently. Learn how to convert numbers to and from scientific notation, multiply and divide in scientific notation, and ensure proper formatting. Understand the rules for exponents and make calculations easier with these simple steps.

• Scientific Notation
• Converting Numbers
• Multiplying
• Dividing
• Exponents

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Uploaded on Oct 07, 2024 | 0 Views

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1. TOPIC: Scientific Notation The number is written as the product of two other numbers: A number between 1 and 10 (not 10) and 20.3 x 102 NOT CORRECT A power of 10 2.03 x 103 CORRECT

2. Converting conventional to scientific notation For numbers 1, the exponent will be positive. Count how many places the decimal is moved. 329 3.29 X 102

3. Converting conventional to scientific notation For numbers between 0 and 1, the exponent will be negative. Count how many places the decimal is moved. 0.00045 4.5 X 10-4

4. Converting scientific to conventional notation If the exponent is positive, the number 1, so move the decimal point right. 3.784 X 105 378400

5. Converting scientific to conventional notation If the exponent is negative, the number is between 0 and 1 so move the decimal point to the left. 2.75 X 10-3 0.00275

6. Multiplying (N x 10a) x (M x 10b) = (N x M) x 10a+b (5.1 x 104) x (2.5 x 103) = (5.1 X 2.5) x 10(4+3) (5.1 x 104) x (2.5 x 103) = 12.75 x 107 Oops new answer isn t scientific notation Remember has to be between 1 and 10 12.75 = 1.275 since we made the number smaller we have to make the exponent bigger 1.275 x 108

7. Dividing (N x 10a) / (M x 10b) = (N / M) x 10a-b (3.66 x 10-5) / (2.0 x 10-3) = (3.66/2.0) x 10(-5-(-3)) = 1.83 x 10-5+3 =1.83 x 10-2 Write this as a normal number .0183

8. Adding/Subtracting Exponents must be same number