Adding & Subtracting Integers

Adding & Subtracting Integers

What is an Integer?

An integer is a positive or negative whole number

All the positive and negative versions of numbers you've learned to add, subtract, multiply, and divide that are NOT fractions or decimals are integers

Multiple Select

Which of these are integers?

• 23

• $\frac{2}{3}$

• -23

• 2.3

Adding and Subtracting with integers can get interesting.

Some say, "Subtraction doesn't exist."

Subtraction can be rewritten by adding a negative number

• 5 - 3 can be rewritten as 5 + (-3)

• Both will equal the same thing, 2.

Here are a couple more examples.

• 17 - 7 = 10

• This can also be written as 17 + (-7) and it also equals 10.

• 5 - 6 = -1

• This can also be written as 5 + (-6) and it also equals -1

Multiple Choice

What is another way to write 11 - 6 using addition to get the same answer?

• 6 - 11

• 11 + (-6)

• 11 + 6

• (-11) - (-6)

Absolute Value

Absolute value is the distance a number is from zero (0) on the number line.

This can also be thought of as the positive version of any number.

Absolute Value Notation.

the notation for absolute value is represented by two straight lines on either side of the number.

Multiple Select

Click on all expressions that are equal to 17.

• $\left|17\right|$

• $\left|-17\right|$

• 17

• -17

That's all for now...

• ...more later with numberlines

• ...more later with counters

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