Exploring Integer Operations

What happens when you add two integers of the same sign?

• Add the absolute values and keep the original sign.

• Subtract the absolute values and change the sign.

• Add and change the sign to the opposite.

• Subtract and keep the sign of the larger number.

How do you solve an addition problem with integers of different signs?

• Multiply the numbers and keep the original sign.

• Add the numbers and keep the sign of the smaller number.

• Add the absolute values without changing the sign.

• Subtract the absolute values and keep the sign of the number with the larger absolute value.

What is the purpose of using a number line in integer addition?

• To subtract numbers more easily.

• To visualize the addition process and direction.

• To change the sign of the integers.

• To multiply the integers.

What does a zero pair represent in the context of two-colored counters?

• Two positives canceling each other out.

• An unresolved integer operation.

• A positive and a negative canceling each other out.

• Two negatives making a positive.

What is the 'keep change change' strategy used for?

• Dividing integers.

• Multiplying integers.

• Adding integers.

• Subtracting integers.

How do you handle subtraction of integers with opposite signs?

• Subtract the numbers and change the sign to the opposite.

• Add the numbers without changing any signs.

• Multiply the two numbers and keep the sign of the first.

• Keep the first number, change subtraction to addition, and change the second number to its opposite.

What is the rule for multiplying two integers with different signs?

• The result is positive.

• The result is negative.

• The result is zero.

• The signs cancel each other out.

What is the result of dividing two integers with the same sign?

• Depends on the integers.

• Always positive.

• Always negative.

• Result is zero.

When multiplying more than two integers, how do the signs affect the result?

• If there are an even number of negatives, the result is positive.

• The result is always negative.

• The result is always positive.

• If there are an odd number of negatives, the result is positive.

In the context of division, what does it mean to divide integers into groups?

• To add the integers into larger groups.

• To subtract the divisor from the dividend repeatedly.

• To find how many groups of the divisor fit into the dividend.

• To multiply the integers.