Ordering numbers involves arranging numbers in a particular sequence, either from the smallest to the largest (ascending order) or from the largest to the smallest (descending order).

Steps for Ordering Numbers

Identify the numbers: Write down all the numbers that need to be ordered.
Compare the numbers: Compare the numbers to determine their relative sizes.
Arrange the numbers: Place the numbers in the correct order based on their size.

Ordering Integers

When ordering integers (positive and negative whole numbers), follow these steps:

Identify the integers: Write down the integers that need to be ordered.
Compare the integers: Compare the integers using the number line or by comparing their absolute values.
Arrange the integers: Place the integers in the correct order based on their position on the number line or their absolute values.

Ordering Fractions

When ordering fractions, follow these steps:

Identify the fractions: Write down the fractions that need to be ordered.
Find a common denominator: If the fractions have different denominators, find a common denominator.
Compare the fractions: Compare the fractions by converting them to have the same denominator, then compare their numerators.
Arrange the fractions: Place the fractions in the correct order based on their relative sizes.

Ordering Decimals

When ordering decimals, follow these steps:

Identify the decimals: Write down the decimals that need to be ordered.
Compare the decimals: Compare the decimals place by place, starting from the leftmost digit.
Arrange the decimals: Place the decimals in the correct order based on their place values.

Practice Problems

Now that you understand the steps for ordering numbers, let's practice with some problems:

Order the integers -5, 3, -2, 0, 6 from least to greatest.
Order the fractions 1/4, 2/5, 3/8, 5/12 from least to greatest.
Order the decimals 0.6, 0.63, 0.605, 0.7 from least to greatest.

Once you have completed these practice problems, you'll have a good grasp of ordering numbers!

◂Math Worksheets and Study Guides Seventh Grade. Using Integers

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop meaning for integers and represent and compare quantities with them.

Understand meanings of operations and how they relate to one another.

Use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals.

Compute fluently and make reasonable estimates.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.