Math Problem Statement

solve

By rounding each number below to 1 significant figure, estimate the value of (8.4 + 5.5) / 1.8

Solution

The problem asks to estimate the value of 8.4+5.51.8\frac{8.4 + 5.5}{1.8} by rounding each number to 1 significant figure. Let's go step by step:

Step 1: Round each number to 1 significant figure.

  • 8.48.4 rounds to 8.
  • 5.55.5 rounds to 6.
  • 1.81.8 rounds to 2.

Step 2: Perform the calculation using the rounded values.

8+62=142=7\frac{8 + 6}{2} = \frac{14}{2} = 7

Final Answer:

The estimated value is 7.

Would you like more details on rounding numbers or any other clarification?

Here are 5 related questions to practice:

  1. Estimate 12.6+4.92.3\frac{12.6 + 4.9}{2.3} by rounding to 1 significant figure.
  2. What is the result of 7.4+6.21.5\frac{7.4 + 6.2}{1.5} rounded to 1 significant figure?
  3. If you round 9.8 to 1 significant figure, what do you get?
  4. Estimate the value of 15.8+4.13.2\frac{15.8 + 4.1}{3.2} using 1 significant figure rounding.
  5. How would you round 2.67 to 1 significant figure?

Tip: When rounding, focus on the first digit that is not zero, and adjust based on the next digit.

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Math Problem Analysis

Mathematical Concepts

Rounding
Significant Figures
Basic Arithmetic

Formulas

(8.4 + 5.5) / 1.8

Theorems

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Suitable Grade Level

Grades 5-7