Understanding Additive Inverses

This video serves as supplementary material for courses at Howard Community College, focusing on the concept of additive inverse. It explains how to find the additive inverse of both numbers and algebraic expressions. The additive inverse of a number is the value that, when added to the original number, results in zero. For example, the additive inverse of 5 is -5. The video also covers how to find the additive inverse of expressions, such as 'x - 2', by multiplying by -1 to get '-x + 2'.

What is the additive inverse of a number?

• A number that is half of the original number

• A number that, when added to the original, results in zero

• A number that is twice the original number

• A number that, when multiplied by the original, results in one

If you start with the number 5, what is its additive inverse?

• 0

• -5

• 5

• 10

What happens when you add a number to its additive inverse?

• The result is double the original number

• The result is zero

• The result is negative of the original number

• The result is the original number

What is the additive inverse of -4?

• 4

• -4

• -8

• 0

How do you find the additive inverse of a negative number?

• Divide the number by 2

• Add 1 to the number

• Multiply the number by -1

• Subtract 1 from the number

What is the additive inverse of the expression 'x - 2'?

• -x + 2

• x + 2

• -x - 2

• 2 - x

How do you find the additive inverse of an expression?

• Subtract 1 from each term

• Divide the entire expression by 2

• Multiply the entire expression by -1

• Add 1 to each term

What is the result of distributing -1 across the expression 'x - 2'?

• -x + 2

• x + 2

• -x - 2

• 2x - 2

What is the main idea behind finding an additive inverse?

• To find a number that doubles the original

• To find a number that results in one when multiplied by the original

• To find a number that results in zero when added to the original

• To find a number that halves the original