Math Problem Statement

Evaluate the following expressions involving measurements. Report your answer with the correct number of significant digits: 51,700 × 0.26398 19,600 1.547 × 0.00862 × 4.390 0.0586

Solution

It looks like you’re working on a problem related to significant digits and evaluating expressions while applying the correct number of significant figures.

In the image you uploaded, we see two questions, with the following expressions for evaluation:

Question 10:

You need to evaluate the expression and report the correct number of significant digits: 51,700×0.2639851,700 \times 0.26398 and 19,60019,600

Question 11:

Evaluate the expression and report the correct number of significant digits: 1.547×0.00862×4.3901.547 \times 0.00862 \times 4.390 and 0.05860.0586

To correctly solve these, you need to apply the rules for significant digits in multiplication and division:

Rules for Significant Digits:

  1. Multiplication and Division: The result should have the same number of significant digits as the number with the least significant digits in the expression.
  2. Addition and Subtraction: The result should have the same number of decimal places as the number with the least number of decimal places.

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Math Problem Analysis

Mathematical Concepts

Significant Digits
Multiplication and Division
Rounding Numbers

Formulas

Multiplication rule for significant digits

Theorems

Significant digits rule for multiplication/division

Suitable Grade Level

Grades 8-10