Vocab

1. Integer: A whole number that can be positive, negative, or zero

Vocab

1. Integer: A whole number that can be positive, negative, or zero

2. Sum:

Vocab

1. Integer: A whole number that can be positive, negative, or zero

2. Sum: The result of adding two or more numbers

Vocab

1. Integer: A whole number that can be positive, negative, or zero

2. Sum: The result of adding two or more numbers

3. Difference:

Vocab

1. Integer: A whole number that can be positive, negative, or zero

2. Sum: The result of adding two or more numbers

3. Difference: The result of subtracting two or more numbers

Vocab

1. Integer: A whole number that can be positive, negative, or zero

2. Sum: The result of adding two or more numbers

3. Difference: The result of subtracting two or more numbers

4. Positive:

Vocab

1. Integer: A whole number that can be positive, negative, or zero

2. Sum: The result of adding two or more numbers

3. Difference: The result of subtracting two or more numbers

4. Positive: Greater than zero

Vocab

1. Integer: A whole number that can be positive, negative, or zero

2. Sum: The result of adding two or more numbers

3. Difference: The result of subtracting two or more numbers

4. Positive: Greater than zero

5. Negative:

Vocab

1. Integer: A whole number that can be positive, negative, or zero

2. Sum: The result of adding two or more numbers

3. Difference: The result of subtracting two or more numbers

4. Positive: Greater than zero

5. Negative: Less than zero

Integers Reminder

Integers can be any WHOLE number that is positive or negative, including zero.

Adding Integers

When we add two positive numbers, it's just normal adding!
Examples: 8+5= 13
7+4=11

When both integers are negative...

When both integers are negative, you will add them and add a "negative" sign at the front.
Example: -7+(-4)= -11

When you add a negative and a positive....

You will subtract the number, and give the answer the bigger number's sign!

Example: 7 +(-4) = 3
-5+9=4

Easy Reminder...

Think of it as MONEY!
If you overdraw your account -$14, and put $7 in, how much will you have money wise now?

Subtracting Positive Integers

This is just NORMAL SUBTRACTION
Example: 7-4= 3
9-5= 4

Subtracting Negative Integers

Subtracting a negative integer is the same as adding a positive!
When you see "minus a negative" change it to "plus a positive," then solve it as addition.
Example 5-(-3) = 5+3 = 8

Subtracting Negative Integers

If the first number is also negative, that number stays the same, and you switch it to addition.

Example: -2-(-5) = -2 + 5 = 3

Real World Application

The most common real world application for this skill is money. When you have a checking account, you want to keep it in the positives, but occasionally this doesn't happen. When the money amount is in the negatives, you have to add a certain amount in to get back to a positive balance. On the other hand, if your account is negative and you continue to spend money, you'll be subtracting from a negative balance, which will make it more negative.

Darla accidentally overdrew her account when she bought concert tickets. Her current balance is -$56. Her mother gives her $100 ​as a birthday gift. How much money will she have in her account if she deposits the whole $100?

Example 1:

Darla accidentally overdrew her account when she bought concert tickets. Her current balance is -$56. Her mother gives her $100 ​as a birthday gift. How much money will she have in her account if she deposits the whole $100?

Example 1:

​To set this problem up, we need to know some important details. First, we need to know what we're starting with. In this case, they tell us Darla's account balance is currently -$56

Darla accidentally overdrew her account when she bought concert tickets. Her current balance is -$56. Her mother gives her $100 ​as a birthday gift. How much money will she have in her account if she deposits the whole $100?

Example 1:

Next, we will need to figure out what operation we will need to do based on the situation. Darla's mom gives her the $100, and she DEPOSITS the money into the account, so we would be adding $100 to the account.

Eddie has $25 in his checking account. He spends $8 on at the gas station on drinks and snacks. How much does he have left?

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Example 2

Eddie has $25 in his checking account. He spends $8 on at the gas station on drinks and snacks. How much does he have left?

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Example 2

​We see that Eddie is starting with a POSITIVE balance on his card, so we will write that as $25

Eddie has $25 in his checking account. He spends $8 on at the gas station on drinks and snacks. How much does he have left?

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Example 2

​we see that he spends $8, meaning he withdraws $8, so we will subtract $8.

We Do: Example 1

Marissa has $50 in her checking account. She pays $25 for gas. Does she have enough to buy a jacket for $30?

We Do: Example 1

Marissa has $50 in her checking account. She pays $25 for gas. Does she have enough to buy a jacket for $30?