Adding and Subtracting Integers Challenge

This video tutorial covers the addition and subtraction of integers, including positive and negative numbers. It explains key concepts such as absolute value and opposites, and provides rules for performing integer operations. The tutorial includes examples to illustrate these rules and demonstrates how to handle algebraic expressions involving integers. The video also discusses converting subtraction problems into addition of negatives to simplify calculations.

What is an integer?

• A positive or negative whole number

• A number that is always positive

• A number that is always negative

• A number that can be a fraction or decimal

What does the term 'opposites' refer to in mathematics?

• Two numbers with the same absolute value

• Two numbers with different absolute values

• Two numbers that are both negative

• Two numbers that are both positive

What is the sum of an integer and its opposite?

• The absolute value of the integer

• Zero

• The negative of the integer

• The positive of the integer

If you add two integers with the same sign, what should you do?

• Add them

• Divide them

• Multiply them

• Subtract them

What is the result of -3 + -4?

• -1

• 1

• -7

• 7

What is the result of 4 + -8?

• -12

• 4

• 12

• -4

How do you handle subtraction in integer operations?

• Change subtraction to addition of a positive

• Change subtraction to addition of a negative

• Change subtraction to multiplication

• Change subtraction to division

What do double negatives become in integer operations?

• A big plus

• The same number

• Zero

• A big minus

What is the result of 4 - (-10)?

• -14

• 14

• 6

• -6

If x = 7, y = -3, and z = -10, what is the result of x - y + z?

• 0

• 7

• 10

• -10