10.18.2023 Adding Integers Using Models

Front

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

Back

The result can be found by subtracting the absolute value of the negative integer from the positive integer. If the absolute value of the negative integer is greater, the result will be negative.

Front

How can two-color counters be used to represent addition of integers?

Back

Two-color counters use one color to represent positive integers and another color to represent negative integers. The total is found by counting the net number of counters after pairing them.

Front

What does the equation 4 + (-5) = -1 represent in terms of two-color counters?

Back

It represents 4 positive counters (yellow) and 5 negative counters (red), resulting in a net of 1 negative counter.

Front

What is the equation that represents losing points in a game or test?

Back

Losing points can be represented as adding negative integers, for example, losing 5 points and 9 points can be modeled as -5 + -9.

Front

What does the equation -7 + 8 = 1 illustrate?

Back

It illustrates that when you add a negative integer (-7) to a positive integer (8), the result is a positive integer (1).

Front

What is the significance of the equation 15 + (-25) = -10?

Back

This equation shows that adding a larger negative integer to a smaller positive integer results in a negative outcome.

Front

How do you determine the total when adding two integers of different signs?

Back

You subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value.

Front

What is the general rule for adding two negative integers?

Back

When adding two negative integers, the result is always a negative integer, and you add their absolute values.

Front

What does the term 'absolute value' mean in the context of integers?

Back

Absolute value refers to the distance of a number from zero on the number line, regardless of direction, and is always a non-negative number.

Front

How can you visualize the addition of integers using a number line?

Back

On a number line, moving to the right represents adding positive integers, while moving to the left represents adding negative integers.