Math Problem Statement

Arrange the following numbers in descending order: 3, 8, 2.1, -0.12, √5.

Solution

The question asks to arrange the following numbers in descending order: 3, 8, 2.1, -0.12, √5.

To begin with:

  1. The number 8 is the largest.
  2. √5 (approximately 2.236) comes next.
  3. 3 is slightly smaller than √5.
  4. 2.1 follows.
  5. -0.12 is the smallest value, as it's negative.

So, the numbers in descending order are:

8, √5, 3, 2.1, -0.12

Would you like more explanation on any of these steps or have any other questions?

Here are some additional related questions:

  1. How do we estimate the square root of numbers like √5 without a calculator?
  2. What is the significance of negative numbers in ordering?
  3. Can we use approximation for irrational numbers like √5 when comparing them?
  4. How does ordering help in real-world scenarios like budgeting or ranking?
  5. What are the differences between descending and ascending order?

Tip: When comparing square roots or irrational numbers, try using approximations to make the comparison easier.

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Math Problem Analysis

Mathematical Concepts

Number Ordering
Square Roots

Formulas

Square Root Approximation

Theorems

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Suitable Grade Level

Grades 6-8