Integer Models +/-

Front

What is the result of adding a positive integer to a negative integer?

Back

The result depends on the absolute values of the integers. If the positive integer is greater, the result is positive; if the negative integer is greater, the result is negative.

Front

How do you subtract a positive integer from a negative integer?

Back

Subtracting a positive integer from a negative integer results in a more negative integer. For example, -4 - 2 = -6.

Front

What is the equation that represents the addition of two integers where one is negative?

Back

An example is -6 + 9 = 3, where a negative integer is added to a positive integer.

Front

How can you represent the operation of adding two integers using counters?

Back

Using 2-color counters, the positive counters represent positive integers and the negative counters represent negative integers. The total is the difference between the two.

Front

What is the result of adding a negative integer to a positive integer?

Back

The result is found by subtracting the absolute value of the negative integer from the positive integer. For example, 1 + (-5) = -4.

Front

What does the equation 4 + (-5) represent?

Back

It represents the addition of a positive integer (4) and a negative integer (-5), resulting in -1.

Front

What is the principle behind integer addition?

Back

Integer addition involves combining the values of integers, taking into account their signs. Positive integers increase the total, while negative integers decrease it.

Front

How do you visualize integer subtraction using counters?

Back

Integer subtraction can be visualized by removing counters of one color (representing the integer being subtracted) from the total counters.

Front

What is the result of subtracting a negative integer from a positive integer?

Back

Subtracting a negative integer is equivalent to adding its absolute value. For example, 3 - (-2) = 3 + 2 = 5.

Front

What is the significance of zero in integer operations?

Back

Zero is the additive identity, meaning that adding zero to any integer does not change its value.