Expressions and Properties of Operations

The video tutorial covers writing addition and subtraction expressions, focusing on the commutative property of addition and the non-commutative nature of subtraction. It explains using bar diagrams and variables to represent expressions, highlights the importance of order in complex expressions, and provides practice exercises to reinforce learning.

What does the commutative property of addition state?

• The order of numbers does not affect the quotient.

• The order of numbers does not affect the product.

• The order of numbers does not affect the difference.

• The order of numbers does not affect the sum.

How is subtraction different from addition in terms of order?

• Subtraction is associative.

• Subtraction is commutative like addition.

• Subtraction is distributive.

• Subtraction is not commutative, order matters.

How would you express 'three less than a number n'?

• 3 + n

• n + 3

• n - 3

• 3 - n

Why are parentheses necessary in expressions like 'C minus the sum of A and B'?

• To ensure the sum is calculated before subtraction.

• To indicate multiplication.

• To ensure subtraction is calculated before the sum.

• To indicate division.

What is the result of 3 minus the sum of 1 and 2?

• 0

• 3

• 1

• 2

How would you express 'four less than the sum of G and five'?

• 5 + G - 4

• G - 5 + 4

• 4 - (G + 5)

• G + 5 - 4

What is the expression for 'W increased by four'?

• W + 4

• 4 - W

• 4 + W

• W - 4

Which of the following is a correct expression for 'the sum of a, b, and c'?

• a + b + c

• a - b + c

• a - b - c

• a + b - c

What is the expression for 'the difference of three and P'?

• P - 3

• 3 + P

• 3 - P

• P + 3

How would you express 'four decreased by the sum of G and five'?

• 4 - (G + 5)

• G + 5 - 4

• G - 5 + 4

• 4 + G + 5