Identify the negative numbers

Oct 13, 2025 by magicalceylontours.com 118 views

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Introduction

Ordering numbers from least to greatest is a fundamental concept in mathematics that requires a clear understanding of fractions, decimals, and negative numbers. In this article, we will guide you through the process of ordering a set of numbers, including fractions and decimals, from least to greatest.

Understanding the Numbers

The given set of numbers is: $${1.1, \frac{3}{4}, -0.9, -1, 1 \frac{1}{2}}$$. To order these numbers from least to greatest, we need to first convert the fractions into decimals.

Converting Fractions to Decimals

The first fraction, $${\frac{3}{4}}$$, can be converted to a decimal by dividing the numerator (3) by the denominator (4). This gives us a decimal value of $${0.75}$$.

The second fraction, $${1 \frac{1}{2}}$$, can be converted to a decimal by converting the mixed number to an improper fraction. This gives us $${\frac{3}{2}}$$, which can be converted to a decimal by dividing the numerator (3) by the denominator (2). This gives us a decimal value of $${1.5}$$.

Ordering the Numbers

Now that we have converted the fractions to decimals, we can order the numbers from least to greatest. The numbers are:

${-1}$
${-0.9}$
${0.75}$
${1.1}$
${1.5}$

Step-by-Step Solution

To order the numbers from least to greatest, we can follow these steps:

Identify the negative numbers: The negative numbers in the set are $${-1}$$ and $${-0.9}$$. These numbers are less than 0, so they will come first in the ordered list.
Order the negative numbers: The negative numbers can be ordered by comparing their absolute values. The larger the absolute value, the smaller the negative number. Therefore, $${-0.9}$$ is less than $${-1}$$.
Order the non-negative numbers: The non-negative numbers in the set are $${0.75}$$, $${1.1}$$, and $${1.5}$$. These numbers can be ordered by comparing their decimal values. The smaller the decimal value, the smaller the number.
Combine the ordered numbers: The ordered list of numbers is:

{-1}

{-0.9}

{0.75}

{1.1}

{1.5}

Conclusion

Ordering numbers from least to greatest requires a clear understanding of fractions, decimals, and negative numbers. By following the steps outlined in this article, you can order a set of numbers from least to greatest. Remember to identify the negative numbers, order the negative numbers, order the non-negative numbers, and combine the ordered numbers to get the final answer.

Frequently Asked Questions

What is the least number in the set? The least number in the set is $${-1}$$.
What is the greatest number in the set? The greatest number in the set is $${1.5}$$.
How do I order a set of numbers from least to greatest? To order a set of numbers from least to greatest, identify the negative numbers, order the negative numbers, order the non-negative numbers, and combine the ordered numbers.

Final Answer

The final answer is: $${-1, -0.9, 0.75, 1.1, 1.5}$$.

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Introduction

Ordering numbers from least to greatest is a fundamental concept in mathematics that requires a clear understanding of fractions, decimals, and negative numbers. In this article, we will answer some of the most frequently asked questions about ordering numbers from least to greatest.

Q&A

Q: What is the least number in the set?

A: The least number in the set is the number that is less than all the other numbers. In the set $${1.1, \frac{3}{4}, -0.9, -1, 1 \frac{1}{2}}$$, the least number is $${-1}$$.

Q: What is the greatest number in the set?

A: The greatest number in the set is the number that is greater than all the other numbers. In the set $${1.1, \frac{3}{4}, -0.9, -1, 1 \frac{1}{2}}$$, the greatest number is $${1.5}$$.

Q: How do I order a set of numbers from least to greatest?

A: To order a set of numbers from least to greatest, follow these steps:

Identify the negative numbers: The negative numbers in the set are the numbers that are less than 0.
Order the negative numbers: The negative numbers can be ordered by comparing their absolute values. The larger the absolute value, the smaller the negative number.
Order the non-negative numbers: The non-negative numbers in the set can be ordered by comparing their decimal values. The smaller the decimal value, the smaller the number.
Combine the ordered numbers: The ordered list of numbers is the combination of the ordered negative numbers and the ordered non-negative numbers.

Q: What if I have a set of numbers with decimals and fractions?

A: If you have a set of numbers with decimals and fractions, you can convert the fractions to decimals and then order the numbers from least to greatest.

Q: What if I have a set of numbers with negative decimals?

A: If you have a set of numbers with negative decimals, you can order the numbers from least to greatest by comparing their decimal values.

Q: Can I use a calculator to order numbers from least to greatest?

A: Yes, you can use a calculator to order numbers from least to greatest. However, it's always a good idea to understand the concept and be able to order numbers from least to greatest without a calculator.

Conclusion

Ordering numbers from least to greatest is a fundamental concept in mathematics that requires a clear understanding of fractions, decimals, and negative numbers. By following the steps outlined in this article and answering the frequently asked questions, you can order a set of numbers from least to greatest.

Final Tips

Practice, practice, practice: The more you practice ordering numbers from least to greatest, the more comfortable you will become with the concept.
Use real-world examples: Use real-world examples to practice ordering numbers from least to greatest. This will help you understand the concept and make it more relevant to your life.
Check your work: Always check your work to make sure that the numbers are in the correct order from least to greatest.

Final Answer

The final answer is: $${-1, -0.9, 0.75, 1.1, 1.5}$$.