Math Problem Statement
Solution
Let's solve the problem step-by-step.
The task is to order the numbers from least to greatest and determine which number goes into the yellow box. The numbers given are:
Step 1: Approximate the square roots.
Thus:
Step 2: Rewrite the numbers using their approximate values.
- stays as it is.
- stays as it is.
Step 3: Order the numbers from least to greatest.
From least to greatest:
Step 4: Assign the numbers to the colored boxes.
- Blue: (Least)
- Red:
- Yellow: (Answer for the yellow box)
- Green:
- Orange: (Greatest)
Final Answer:
The number that goes in the yellow box is:
Do you want further details or have any other questions?
Here are 5 related questions to deepen your understanding:
- How do you find exact square roots for non-perfect squares like ?
- What are the properties of irrational numbers like and ?
- How do negative numbers compare with positive ones in terms of size?
- What are other real-life applications of ordering numbers?
- How can you visualize irrational numbers on a number line?
Tip: When comparing square roots, it's helpful to memorize common approximations such as and .
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Math Problem Analysis
Mathematical Concepts
Irrational Numbers
Ordering Real Numbers
Square Roots
Formulas
√2 ≈ 1.414
√3 ≈ 1.732
Theorems
Properties of Irrational Numbers
Ordering of Negative and Positive Numbers
Suitable Grade Level
Grades 7-10
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