Understanding Expressions: Order of Operations and Distributive Property

The video tutorial explains how to evaluate mathematical expressions using two methods: the order of operations and the distributive property. It covers four expressions, demonstrating each method step-by-step. The tutorial emphasizes that both methods should yield the same result, reinforcing the understanding of mathematical principles. The final expression involves handling negatives and distribution, providing a comprehensive understanding of expression evaluation.

What is the first step in evaluating an expression using the order of operations?

• Add all numbers first

• Simplify inside the parentheses

• Distribute the numbers outside the parentheses

• Multiply all numbers first

What is the result of 5 times (3 + 4) using the order of operations?

• 15

• 35

• 25

• 20

How do you distribute 5 in the expression 5 times (3 + 4)?

• 5 times 3 plus 5 times 4

• 5 plus 3 plus 4

• 5 times 3 minus 5 times 4

• 5 times 3 times 4

What is the result of 3 times (7 - 5) using the distributive property?

• 6

• 12

• 21

• 15

What is the simplified result of -4 times (5 + 2) using the order of operations?

• -28

• 28

• -20

• -8

How do you distribute -4 in the expression -4 times (5 + 2)?

• -4 times 5 minus -4 times 2

• -4 plus 5 plus 2

• -4 times 5 plus -4 times 2

• -4 times 5 times 2

What is the result of the expression -(3 - 7) using the order of operations?

• -4

• 4

• 0

• -10

How does distributing the negative sign affect the expression -(3 - 7)?

• It leaves the expression unchanged

• It multiplies each number by 2

• It adds 1 to each number inside the parentheses

• It changes the signs of both numbers inside the parentheses

What is the equivalent expression for -(3 - 7) when treated as -1 times (3 - 7)?

• -3 - 7

• 3 + 7

• 3 - 7

• -3 + 7

What is the final result of -1 times (3 - 7) using distribution?

• 4

• -4

• 0

• -10