Math Problem Statement

Convert fractions to decimals, compare them, and identify the smallest number greater than a given decimal.

Solution

Let's solve these problems.

Question 8: Convert the fractions to decimals

  • 24=0.5\frac{2}{4} = 0.5
  • 3130.231\frac{3}{13} \approx 0.231 (rounded to three decimal places)

The fraction 24\frac{2}{4} is larger than 313\frac{3}{13}.

Question 9: Comparing p=0.0031p = 0.0031

The smallest number greater than 0.00310.0031 from the given options is 0.0050.005.


Would you like more detailed explanations on these solutions? Here are some related questions to deepen your understanding:

  1. How do you convert any fraction to a decimal?
  2. What are some practical uses of comparing decimal values in real-life scenarios?
  3. How can you round numbers to a specific number of decimal places?
  4. Why is it important to understand number magnitudes, like comparing 0.00310.0031 to 0.0050.005?
  5. How do inequalities play a role when comparing decimal and fractional values?

Tip: Always double-check decimal conversions by performing division directly for accuracy.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Inequalities
Rounding

Formulas

Decimal Conversion (Division of Numerator by Denominator)

Theorems

Basic Fraction and Decimal Comparison

Suitable Grade Level

Grades 6-8