Ordering Numbers
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. Rational and Irrational Numbers
Study Guide
Rational and Irrational Numbers 
Worksheet/Answer key
Rational and Irrational Numbers Worksheet/Answer key
Rational and Irrational Numbers Worksheet/Answer key
Rational and Irrational Numbers
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Connections to the Grade 7 Focal Points (NCTM)
Number and Operations: In grade 4, students used equivalent fractions to determine the decimal representations of fractions that they could represent with terminating decimals. Students now use division to express any fraction as a decimal, including fractions that they must represent with infinite decimals. They find this method useful when working with proportions, especially those involving percents. Students connect their work with dividing fractions to solving equations of the form ax = b, where a and b are fractions. Students continue to develop their understanding of multiplication and division and the structure of numbers by determining if a counting number greater than 1 is a prime, and if it is not, by factoring it into a product of primes.