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In the expression 3.4567 + 2.1, how many significant figures does the result hav

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Question: In the expression 3.4567 + 2.1, how many significant figures does the result have?

Options:

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

Correct Answer: 3

Solution: 

The result of 3.4567 + 2.1 is 5.5567. However, since 2.1 has only 2 significant figures after the decimal, the result should be rounded to 5.6, which has 3 significant figures.

In the expression 3.4567 + 2.1, how many significant figures does the result hav

Practice Questions

Q1
In the expression 3.4567 + 2.1, how many significant figures does the result have?
  1. 4
  2. 3
  3. 5
  4. 2

Questions & Step-by-Step Solutions

In the expression 3.4567 + 2.1, how many significant figures does the result have?
  • Step 1: Identify the numbers in the expression. We have 3.4567 and 2.1.
  • Step 2: Add the two numbers together. 3.4567 + 2.1 = 5.5567.
  • Step 3: Look at the number of decimal places in each original number. 3.4567 has 4 decimal places, and 2.1 has 1 decimal place.
  • Step 4: The result should be rounded based on the number with the least decimal places. Since 2.1 has 1 decimal place, we round 5.5567 to 5.6.
  • Step 5: Count the significant figures in the rounded result (5.6). It has 2 significant figures.
  • Significant Figures – Understanding how to determine the number of significant figures in a result based on the precision of the numbers involved in the calculation.
  • Rounding Rules – Applying the correct rounding rules when adding or subtracting numbers with different significant figures.
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