Integer Operations and Comparisons

The video tutorial covers adding and subtracting integers, providing examples and rules for each operation. It includes real-world applications and practice problems to reinforce learning. The lesson begins with note-taking setup and progresses through integer operations, emphasizing the importance of understanding integer signs and absolute values.

When adding two positive integers, what will be the sign of the result?

• Depends on the numbers

• Negative

• Positive

• Zero

If you add a positive integer and a negative integer, how do you determine the sign of the result?

• The result is zero

• The sign of the result is the same as the integer with the larger absolute value

• The result is always negative

• The result is always positive

What is the first step when subtracting integers?

• Multiply the integers

• Ignore the signs and subtract the numbers

• Change the subtraction to addition and change the sign of the second integer

• Add the integers directly

In the context of integer subtraction, what does it mean to 'keep the sign of the largest number'?

• Always make the result negative

• Keep the sign of the number with the largest absolute value

• Always make the result positive

• Ignore the signs and add the numbers

A seal dives 12 feet down and then swims 8 feet up. What is its final position relative to its starting point?

• At the starting point

• 4 feet below the starting point

• 8 feet below the starting point

• 4 feet above the starting point

If a person writes a check for $160 and deposits $125, what is the net change in their account?

• $35 increase

• $35 decrease

• $285 decrease

• $285 increase

In a football game, if a team loses 12 yards, gains 5 yards, loses 8 yards, and gains 14 yards, what is their net yardage?

• 10 yards gain

• 1 yard gain

• 1 yard loss

• 0 yards

What is the goal when solving multi-step problems involving integers?

• To ignore the signs

• To multiply the numbers

• To convert all operations to addition

• To always subtract the numbers

When comparing two expressions involving integers, what should you do first?

• Solve each expression separately and then compare

• Multiply the numbers

• Add all the numbers

• Subtract all the numbers

Which of the following is a correct method to determine which expression has a greater value?

• Solve each expression and use comparison symbols

• Compare the absolute values of the expressions

• Add all numbers in both expressions

• Subtract all numbers in both expressions