Subtraction is the process of taking one number away from another. It is essentially the opposite of addition. When you subtract, you are finding the difference between two numbers.

Subtraction is denoted by the minus sign (-). For example, in the expression 9 - 5, 9 is the minuend, 5 is the subtrahend, and 4 is the difference.

There are a few important properties of subtraction:

**Commutative Property:**The order in which numbers are subtracted does not affect the result. For example, 7 - 3 = 4 is the same as 3 - 7 = -4.**Associative Property:**The grouping of the numbers being subtracted does not affect the result. For example, (8 - 5) - 3 = 8 - (5 - 3) = 3.**Identity Property:**When you subtract 0 from a number, the result is the number itself. For example, 9 - 0 = 9.

There are various strategies for performing subtraction, including:

**Counting Back:**Starting from the larger number and counting back the smaller number to find the difference.**Number Line:**Using a number line to visually represent the subtraction process.**Regrouping:**When the subtrahend is larger than the minuend, regrouping or borrowing is used to perform the subtraction.

Now that we've covered the basics of subtraction, let's try some practice problems:

- Calculate the difference: 15 - 7 = ?
- Find the result of: 24 - 15 = ?
- Determine the value of: 39 - 11 = ?

Once you have practiced these problems, you should have a good understanding of subtraction. Remember to review the subtraction properties and strategies to further reinforce your understanding.

Happy subtracting!

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Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Develop an initial conceptual understanding of different uses of variables.

Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships.

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

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.