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In the expression 5.00 × 10^3 + 2.1 × 10^2, how many significant figures should

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Question: In the expression 5.00 × 10^3 + 2.1 × 10^2, how many significant figures should the final answer have?

Options:

  1. 2
  2. 3
  3. 4
  4. 5

Correct Answer: 3

Solution: 

The term 2.1 × 10^2 has 2 significant figures, so the final answer should be rounded to 2 significant figures.

In the expression 5.00 × 10^3 + 2.1 × 10^2, how many significant figures should

Practice Questions

Q1
In the expression 5.00 × 10^3 + 2.1 × 10^2, how many significant figures should the final answer have?
  1. 2
  2. 3
  3. 4
  4. 5

Questions & Step-by-Step Solutions

In the expression 5.00 × 10^3 + 2.1 × 10^2, how many significant figures should the final answer have?
  • Step 1: Identify the significant figures in each term of the expression.
  • Step 2: The term 5.00 × 10^3 has 3 significant figures.
  • Step 3: The term 2.1 × 10^2 has 2 significant figures.
  • Step 4: When adding numbers, the final answer should have the same number of decimal places as the term with the least decimal places.
  • Step 5: Since 2.1 × 10^2 has the least significant figures (2), the final answer should be rounded to 2 significant figures.
  • Significant Figures – Understanding how to determine the number of significant figures in a calculation involving addition of numbers in scientific notation.
  • Addition of Numbers in Scientific Notation – Knowing how to properly add numbers in scientific notation and the rules for determining significant figures in the result.
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