Question

lesson.
today, well review the relationship between algebraic expressions and integers.
remember that an integer is a whole number that can be positive, negative, or zero. an algebraic expression is a combination of variables, numbers, and at least one operation.

for example, 5-(-3) becomes 5+3, which equals 8

• because remember we keep, change, change

another example is -2-4. this becomes -2+(-4), which equals -6

introduction (3 minutes)
today, well review the relationship between algebraic expressions and integers.
remember that an integer is a whole number that can be positive, negative, or zero. an algebraic expression is a combination of variables, numbers, and at least one operation.

let’s begin by tackling integer subtraction, which can sometimes be tricky. the easiest way to think about subtracting integers is to add the opposite. this means you change the subtraction sign to an addition sign and flip the sign of the number that follows.

for example, 5-(-3) becomes 5+3, which equals 8.

Explanation:

Since no specific question is provided (like solving an integer subtraction problem, explaining a concept further, etc.), it's hard to give a targeted solution. If you want to solve an integer subtraction problem using the "add the opposite" method (e.g., solve \(a - b\) where \(a\) and \(b\) are integers), here's a general step - by - step:

Step 1: Identify the subtraction problem

Let the problem be \(x - y\), where \(x\) and \(y\) are integers. For example, if \(x=-5\) and \(y = 3\), the problem is \(-5-3\).

Step 2: Apply the "add the opposite" rule

Change the subtraction sign to an addition sign and flip the sign of the number that follows. So \(x - y=x+(-y)\). For our example, \(-5 - 3=-5+(-3)\).

Step 3: Add the integers

When adding two negative integers, we add their absolute values and keep the negative sign. The absolute value of \(-5\) is \(5\) and the absolute value of \(-3\) is \(3\). So \(5 + 3 = 8\), and since both are negative, \(-5+(-3)=-8\).

If you have a specific question related to the content (like solving a particular integer subtraction, explaining the relationship between algebraic expressions and integers in more detail, etc.), please provide it so that a more accurate solution can be given.

Answer:

Step 1: Identify the subtraction problem

Let the problem be \(x - y\), where \(x\) and \(y\) are integers. For example, if \(x=-5\) and \(y = 3\), the problem is \(-5-3\).

Step 2: Apply the "add the opposite" rule

Change the subtraction sign to an addition sign and flip the sign of the number that follows. So \(x - y=x+(-y)\). For our example, \(-5 - 3=-5+(-3)\).

Step 3: Add the integers

When adding two negative integers, we add their absolute values and keep the negative sign. The absolute value of \(-5\) is \(5\) and the absolute value of \(-3\) is \(3\). So \(5 + 3 = 8\), and since both are negative, \(-5+(-3)=-8\).

If you have a specific question related to the content (like solving a particular integer subtraction, explaining the relationship between algebraic expressions and integers in more detail, etc.), please provide it so that a more accurate solution can be given.