Exploring Integer Operations

This video tutorial reviews integer operations, focusing on addition, subtraction, multiplication, and division. It explains the rules for adding integers with the same and different signs, using the keep change change method for subtraction, and the rules for multiplication and division. The concept of zero pairs is introduced to help understand why these rules work. Examples are provided throughout to illustrate each concept.

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

• Subtract the numbers and keep the sign of the larger number.

• Add the numbers and keep the sign of the addends.

• Multiply the numbers.

• None of the above.

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

• Always zero

• Always positive

• Always negative

• Depends on the magnitude of the numbers

What does the commutative property of addition state?

• Changing the order of numbers changes the sum

• None of the above

• Changing the order of numbers does not change the sum

• Addition of two negatives always yields a positive

What is the first step in the 'keep change change' rule for subtraction?

• Change the sign of the second number

• Keep the sign of the first number

• Change subtraction to addition

• Change the sign of the first number

What is the result of subtracting a negative from a positive integer using 'keep change change'?

• Always zero

• Always positive

• Depends on the magnitude of the numbers

• Always negative

What is the result when multiplying two integers with different signs?

• Cannot be determined

• Negative

• Positive

• Zero

What does a zero pair represent in integer operations?

• None of the above

• The sum of a positive and a negative number equal to zero

• A pair of zeros added to any number

• Multiplication of two zeros

How do you solve -6 + 2 using zero pairs?

• Subtract six from two

• Add six and two directly

• Line up six negative and two positive chips

• Line up six positive and two negative chips

What is the result of -3 + -5 using zero pairs?

• -2

• 8

• -8

• 2

What is the outcome when visualizing -30 + 12 using zero pairs?

• 18 negatives

• 18 positives

• 42 negatives

• None of the above