Math Problem Statement

Order from Greatest to Least 6.05, -3.7, -¾, -19

Solution

To arrange the numbers 6.056.05, 3.7-3.7, 34-\frac{3}{4}, and 19-19 from greatest to least, we compare their values:

  1. 6.056.05 is positive and the largest number.
  2. 34=0.75-\frac{3}{4} = -0.75 is closer to zero than 3.7-3.7, so it is greater than 3.7-3.7.
  3. 3.7-3.7 is greater than 19-19, as 19-19 is further from zero.

Final order:

6.05,34,3.7,196.05, -\frac{3}{4}, -3.7, -19

Would you like me to explain the steps further or clarify comparisons?


Related Questions:

  1. How do you convert fractions to decimals for comparison?
  2. What is the difference between ordering integers and decimals?
  3. Why is 0.75-0.75 closer to zero than 3.7-3.7?
  4. Can you explain the role of the negative sign in ordering?
  5. How do you compare numbers with mixed signs?

Tip: When ordering, it helps to first convert all numbers to decimals for easier comparison.

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Math Problem Analysis

Mathematical Concepts

Number Ordering
Comparing Decimals and Fractions
Negative Numbers

Formulas

Converting fractions to decimals: numerator ÷ denominator

Theorems

Properties of negative numbers and their relation to zero

Suitable Grade Level

Grades 6-8