Operations and Identity Properties

The video tutorial covers identity equations, demonstrating how multiplication and division can create identities. It provides examples using specific numbers and explains how to solve problems using these identities. Additionally, it explores the relationship between addition and subtraction, showing how they also form identities.

What is the result of dividing and then multiplying a number by the same value?

• The number is halved

• The number doubles

• The number becomes zero

• The number remains unchanged

In the equation 132 divided by 3 and then multiplied by 3, what is the final result?

• 132

• 0

• 396

• 44

If you start with 225 and divide by 25, what must you multiply by to return to 225?

• 9

• 5

• 25

• 10

Which of the following is an example of an identity equation?

• a / b * b = b

• a + b = c

• a - b = a

• a * b / b = a

What operation should be performed to counteract dividing by 8 in the equation 56 times what divided by 8 equals 56?

• Divide by 8

• Multiply by 8

• Subtract 8

• Add 8

In the equation 452 times 12 divided by something equals 452, what is the missing operation?

• Subtract 12

• Multiply by 12

• Add 12

• Divide by 12

How is the relationship between addition and subtraction similar to multiplication and division?

• Both are unrelated

• Both result in zero

• Both create new numbers

• Both create identities

What happens when you subtract a number and then add the same number back?

• The number doubles

• The number remains the same

• The number is halved

• The number becomes zero

What is the identity property of multiplication and division?

• Multiplying and dividing by the same number results in a doubled number

• Multiplying and dividing by the same number results in zero

• Multiplying and dividing by the same number results in a negative number

• Multiplying and dividing by the same number results in the original number

What is the result of subtracting 12 and then adding 12 to a number?

• The number is halved

• The number becomes 12

• The number becomes zero

• The number remains unchanged