Comparison is the process of determining the similarities and differences between two or more objects, numbers, or quantities. In mathematics, comparison is often used to compare the value of numbers, fractions, decimals, and percentages.

There are several methods to compare numbers and quantities:

- Using the greater than (>), less than (<), or equal to (=) symbols to compare two numbers. For example, 5 > 3, 7 < 10, 4 = 4.
- Using the concept of ordering. Numbers can be ordered from least to greatest or greatest to least.
- Using visualization tools such as number lines or bar models to help compare quantities.

When comparing fractions, it's important to have a common denominator. If the denominators are the same, the fraction with the greater numerator is larger. If the denominators are different, the fractions can be compared by finding a common denominator and then comparing the numerators.

Decimals and percentages can be compared by looking at their numerical values. For decimals, the number with more decimal places is greater. For percentages, their numerical values can be directly compared, keeping in mind that percentages are always out of 100.

Here are some key points to remember when studying comparison:

- Understand the symbols for comparison: >, <, =.
- Learn how to order numbers from least to greatest and greatest to least.
- Practice comparing fractions with common denominators and different denominators.
- Compare decimals based on the number of decimal places.
- Remember that percentages can be directly compared based on their numerical values.

By mastering the skill of comparison, you'll be able to make informed decisions and analyze numerical information more effectively.

.Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.