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Significant Figures: In Calculations quiz

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  • When multiplying or dividing numbers, how do you determine the number of significant figures in the final answer?
    The final answer should have the same number of significant figures as the value with the least number of significant figures used in the calculation.
  • How do you count significant figures in a number written in scientific notation?
    Count the significant figures in the coefficient only, ignoring the exponent part.
  • What is the rule for significant figures when adding or subtracting numbers?
    The final answer should have the same number of decimal places as the value with the least number of decimal places.
  • If you multiply 3.16, 0.003027, and 5.7 × 10⁻³, how many significant figures should your answer have?
    The answer should have 2 significant figures, matching the value with the least significant figures (5.7 × 10⁻³).
  • When performing mixed operations, what should you do first?
    Follow the order of operations (PEMDAS), starting with parentheses, then exponents, multiplication/division, and finally addition/subtraction.
  • How do you apply significant figure rules in mixed operations?
    Apply the significant figure or decimal place rule at each step, depending on whether you are multiplying/dividing or adding/subtracting.
  • Why is it important to perform calculations step-by-step when considering significant figures?
    Doing calculations step-by-step ensures you apply the correct significant figure or decimal place rule at each stage, leading to an accurate final answer.
  • If you subtract 8.829 and 6.5, how many decimal places should your answer have?
    The answer should have 1 decimal place, matching the value with the least decimal places (6.5).
  • What should you do if your calculated answer has more digits than allowed by significant figure rules?
    Round the answer to the correct number of significant figures or decimal places as required by the rules.
  • How do you determine the number of significant figures in 0.003027?
    Skip leading zeros and count from the first nonzero digit; 0.003027 has 4 significant figures.
  • What is the correct way to report the answer to 402.09 - 2.12.2 + 2.671?
    The answer should be rounded to 1 decimal place, as that is the least number of decimal places among the numbers used.
  • When converting a final answer to scientific notation, what must you ensure about significant figures?
    The number of significant figures in the coefficient must match the least number of significant figures from the calculation.
  • If you multiply 1.89 × 10⁶ by 3.005, how many significant figures should your answer have?
    The answer should have 3 significant figures, matching the value with the least significant figures (1.89 × 10⁶).
  • What is the rule for significant figures when dividing two numbers?
    The answer should have the same number of significant figures as the number with the fewest significant figures.
  • Why should you avoid entering all numbers at once in your calculator during multi-step calculations?
    Entering numbers step-by-step allows you to apply significant figure and decimal place rules correctly at each stage.