Math Problem Statement

By rounding each number below to 1 significant figure, estimate the value of (6.3 + 7.5) / 1.7

Solution

To estimate the value of the given expression by rounding each number to 1 significant figure, let's follow the steps:

The given expression is:

6.3+7.51.7\frac{6.3 + 7.5}{1.7}

Step 1: Round each number to 1 significant figure:

  • 6.36.3 rounds to 66
  • 7.57.5 rounds to 88
  • 1.71.7 rounds to 22

Step 2: Substitute the rounded numbers into the expression:

6+82\frac{6 + 8}{2}

Step 3: Simplify the expression:

6+82=142=7\frac{6 + 8}{2} = \frac{14}{2} = 7

Final Answer:

The estimated value of the expression is 7.

Do you want further details or have any questions?

Here are 5 related questions to explore:

  1. How do we round numbers to a specific number of significant figures?
  2. What would happen if we rounded to 2 significant figures instead of 1?
  3. How do you handle rounding when adding or subtracting numbers?
  4. Why is rounding important in estimation problems?
  5. How can you apply this concept in real-world scenarios like budgeting?

Tip: When estimating, always ensure that all numbers are rounded to the same number of significant figures for consistency.