Adding Integers with Counters

Front

What is the counter model for adding integers?

Back

The counter model uses colored counters to represent positive and negative integers, where one color (e.g., yellow) represents positive numbers and another color (e.g., red) represents negative numbers.

Front

What does the equation 4 + (-2) = 2 represent?

Back

This equation shows that when you add 4 positive counters and 2 negative counters, you are left with 2 positive counters.

Front

What is the result of -6 + 5?

Back

-6 + 5 = -1, which means if you have 6 negative counters and add 5 positive counters, you still have 1 negative counter left.

Front

What does the equation -4 + (-3) = -7 mean?

Back

This equation indicates that when you add 4 negative counters and 3 negative counters, you end up with 7 negative counters.

Front

How do you model the expression -4 + 5 with counters?

Back

You would use 4 red counters (negative) and 5 yellow counters (positive) to show that you have more positive counters than negative.

Front

What is the result of -8 + 5?

Back

-8 + 5 = -3, meaning if you have 8 negative counters and add 5 positive counters, you still have 3 negative counters left.

Front

What is the definition of an integer?

Back

An integer is a whole number that can be positive, negative, or zero.

Front

What does adding a negative integer mean?

Back

Adding a negative integer is the same as subtracting a positive integer.

Front

What is the result of 3 + (-7)?

Back

3 + (-7) = -4, which means you have 3 positive counters and 7 negative counters, resulting in 4 negative counters.

Front

What is the principle of zero in addition?

Back

The principle of zero states that adding zero to any number does not change the value of that number.