University:
Bradley University
Course:
MTH 101 | The Art of Mathematical Thinking
Academic year:

2023
Views:

420

Pages:

6
Author:

segolhandworked

5-4 Scientific Notation Scientific notation a way to easily write very large or very small numbers 1st number is always a decimal in between 1 and 10 - 2nd number is a 10 to a power Ex. 3.8×103 Standard notation - The way we normally see a number Key Questions 2 Is 12.34 × 10 in scientific notation? No. Is 0.237 × 103 in scientific notation? No. 3.18 x 310 in scientific notation? X No. Is From Scientific to standard notation: 1.) Find the exponent of 10. 2.) Move the decimal to the right that many times if the number is positive. If the exponent is negative, move the decimal that many places to the left. Positive exponent: Big # Negative expement: Small # Write using standard notation. 1.76×100 136 17.6 1.76x102 176 3.9×10-3 From standard to scientific: 1.) Move the decimal between the 1st two numbers 2.) Count how many places you moved the decimal. - Move left: positive exponent of 10 - Move right: negative exponent of 10 3.) Multiply steps 1 and 2 Write using scientific notation:

1.76 x 10^-3 in Standard Notation

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