Math Problem Statement
Question content area top Part 1 Reasoning Which number below comes first when the numbers are listed from least to greatest? Explain. Then write the numbers in order from least to greatest. one sixth , negative 2, StartRoot 7 EndRoot, negative nine halves , 1.1 Question content area bottom Part 1 Which number comes first when the numbers are listed from least to greatest?
Solution
To determine which number comes first when the numbers are listed from least to greatest, let's convert each of them into decimal form for easier comparison:
-
One sixth:
-
Negative 2:
This is already a decimal number: -
Square root of 7 ():
-
Negative nine halves ():
-
1.1:
This is already a decimal number:
Now, let's list these numbers with their approximate decimal forms:
- One sixth:
- Negative 2:
- :
- Negative nine halves:
- 1.1:
Finding the Smallest Number
The smallest (most negative) number in the list is negative nine halves ().
Listing the Numbers in Order
Now, we arrange all the numbers from least to greatest:
- (or )
- (or approximately )
- (or approximately )
Answer
The number that comes first when the numbers are listed from least to greatest is negative nine halves ().
Would you like more details or have any questions about this problem?
Here are 5 related questions for practice:
- How do you compare fractions with decimals directly?
- What is the decimal equivalent of ?
- Which is greater: or ?
- What is the square root of approximately?
- If given three numbers , , and , which is the greatest?
Tip: Always convert different forms (fractions, square roots) into decimals to compare them easily.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Number Comparison
Fractions
Square Roots
Negative Numbers
Formulas
Decimal conversion of fractions and square roots
Theorems
Ordering real numbers
Properties of real numbers
Suitable Grade Level
Grades 6-8