In mathematics, when two quantities or expressions have the same value, they are said to be "equal to" each other. The symbol "=" is used to express this relationship.

Consider the following example:

If x = 5, it means that the value of x is equal to 5.

- Reflexive Property: For any real number a, a = a.
- Symmetric Property: If a = b, then b = a.
- Transitive Property: If a = b and b = c, then a = c.

When using the equal sign, it's important to remember that whatever is on the left side of the equal sign must be equal to whatever is on the right side.

- Solve the equation: 3x - 4 = 14
- Determine the value of y in the equation: 2y + 7 = 15
- Write an equation to represent the statement: "The sum of a number and 8 is equal to 20."

Study GuideCompare and Order Numbers Worksheet/Answer key

Compare and Order Numbers Worksheet/Answer key

Compare and Order Numbers Worksheet/Answer key

Compare and Order Numbers

Number and Operations (NCTM)

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

Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 5 Focal Points (NCTM)

Number and Operations: Building on their work in grade 4, students extend their understanding of place value to numbers through millions and millionths in various contexts. They apply what they know about multiplication of whole numbers to larger numbers. Students also explore contexts that they can describe with negative numbers (e.g., situations of owing money or measuring elevations above and below sea level).