Math Problem Statement
Which number comes first when the numbers are listed from least to greatest? 1/6, -3, sqrt(7), -6/5, 3.9
Solution
Let's go step by step to find the correct order of these numbers from least to greatest, and answer which comes first:
The numbers provided are:
Step 1: Converting all values into decimal form
- (already in decimal form)
- (already in decimal form)
Step 2: Ordering the numbers
From least to greatest:
- The most negative number is .
- Next comes .
- The smallest positive number is .
- Then comes .
- Finally, is the largest.
Step 3: Answer the question
The number that comes first when listed from least to greatest is .
Correct choice:
The correct answer is D. because it is the negative number with the greatest absolute value.
Would you like more details on any part of this solution?
Here are 5 related questions to expand your understanding:
- How do you compare numbers with different forms (fractions, square roots, etc.)?
- How can absolute value help when comparing negative numbers?
- What is the approximate value of , etc.?
- How do you convert fractions to decimals?
- What is the role of irrational numbers (like ) in number comparison?
Tip: When comparing numbers, converting them all to the same form (usually decimals) can make the process easier.
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Math Problem Analysis
Mathematical Concepts
Number comparison
Absolute values
Decimals and fractions
Formulas
Conversion of fractions to decimals
Square root approximations
Theorems
Ordering of real numbers
Suitable Grade Level
Grades 6-8