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In this lesson, we will learn how to identify the identity and inverse properties of addition and multiplication and apply these properties in real-life situations.

Q1:

Complete the expression stating which property is being used: 5 3 Γ 1 = 1 Γ = 5 3 .

Q2:

What is the additive inverse of β 2 9 9 ?

Q3:

What can be said about two different numbers that add up to zero?

Q4:

Given that 4 4 + ( β 4 4 ) = π , find the value of π .

Q5:

Which of the following equations illustrates the zero property of addition?

Q6:

Sherif runs the marketing department at his company. His department gets a budget every year, and every year, he must spend the entire budget without going over. If he spends less than the budget, then his department gets a smaller budget the following year. At the beginning of this year, Sherif got $2.50 million for the annual marketing budget. He must spend the budget such that . What property of addition tells us what the value of must be?

Q7:

Given that π is the additive inverse of π , which of the following is true?

Q8:

Find the value of π in the equation β 9 1 0 Γ π = 1 .

Q9:

Find the multiplicative inverse of 3 7 .

Q10:

What is 1 9 3 6 Γ 1 ?

Q11:

Complete the following and state which property is being used: 5 1 + = 0 + 5 1 = 5 1 .

Q12:

Given that π Γ· π = β 1 , is π the additive or multiplicative inverse of π ?

Q13:

What is the identity element for addition in the set of algebraic fractions?

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