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Part 1: Significant Figures
Let’s start off with scientific notation…
Large numbers (numbers for which the absolute value is greater than 1) will always have a positive exponent when in scientific notation. When converting to scientific notation, you move the decimal point until there is a single digit to the left. The number of places that the decimal spot moved becomes the exponent and the “x10”.
Example: –450000 à –4.5x105. The decimal point was moved 5 times to the left, so the exponent is 5.
Example: 106709001 à 1.06709001x108. The decimal was moved to the left by 8 spots so the exponent is 8.
Example: 57293.264 à 5.7293264x104 since the decimal was moved 4 times to the left.
Small numbers (numbers between 1 and –1) will always have a negative exponent when in scientific notation. When converting to scientific notation, you move the decimal point until there is a single digit to the left. The number of places that the decimal spot moved becomes the exponent and the “x10–”.
Example: 0.0003528 à 3.528x10–4. The decimal moved 4 times to the right, so the exponent become –4.
Example: –0.0000000000000058500 à–5.8500x10–15. The decimal point was moved 15 times to the right, so the exponent became &nda">
Worksheet 1 – Chapter 2 You must show your work for Credit Part 1: Significant Figures Let’s start off with scientific notation… Large numbers (numbers for which the absolute value is greater than 1) will always have a positive exponent when in scientific notation. When converting to scientific notation, you move the decimal point until there is a single digit to the left. The number of places that the decimal spot moved becomes the exponent and the “x10”. Example: –450000 à –4.5x105. The decimal point was moved 5 times to the left, so the exponent is 5. Example: 106709001 à 1.06709001x108. The decimal was moved to the left by 8 spots so the exponent is 8. Example: 57293.264 à 5.7293264x104 since the decimal was moved 4 times to the left. Small numbers (numbers between 1 and –1) will always have a negative exponent when in scientific notation. When converting to scientific notation, you move the decimal point until there is a single digit to the left. The number of places that the decimal spot moved becomes the exponent and the “x10–”. Example: 0.0003528 à 3.528x10–4. The decimal moved 4 times to the right, so the exponent become –4. Example: –0.0000000000000058500 à–5.8500x10–15. The decimal point was moved 15 times to the right, so the exponent became &nda
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