Chapter 2: Q9. (page 64)

Identify the property illustrated by the statement $z^{4} \cdot 1 = z^{4}$ .

Short Answer

Expert verified

The name of the property is Multiplicative Identity Property of Multiplication

Step by step solution

Step-1 – What are real numbers?

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Apply the concept of product

When two or more numbers are multiplied together, it gives a number. The numbers that are being multiplied are called the factors. And the result of the multiplication of numbers is called the product of those numbers.

Step-3 – Properties of Multiplication and Addition

Multiplicative Identity Property of Multiplication

Property: $a \cdot 1 = a$

If you multiply any real number with one (1), the product will be the original number itself.

Example: $33 \cdot 1 = 1 \cdot 33 = 33$

Name of the property for this equation $z^{4} \cdot 1 = z^{4}$ is Multiplicative Identity Property of Multiplication

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Identify the property illustrated by the statement $z^{4} \cdot 1 = z^{4}$ .

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Apply the concept of product

Step-3 – Properties of Multiplication and Addition

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Identify the property illustrated by the statementz4 · 1 = z4.

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Apply the concept of product

Step-3 – Properties of Multiplication and Addition

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Probability and Statistics

Applied Mathematics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Identify the property illustrated by the statement $z^{4} \cdot 1 = z^{4}$ .