Chapter 2: Q29. (page 66)

Identify the property that the statement illustrates.
$19 \cdot 5^{3} = 5^{3} \cdot 19$

Short Answer

Expert verified

The statement $19 \cdot 5^{3} = 5^{3} \cdot 19$ represents the Commutative 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 – Commutative Property of Multiplication of Real Numbers:

Suppose a, b, and c is three real numbers.

Commutative Property of Multiplication:

Property: $a \cdot b = b \cdot a$ or $a \cdot b \cdot c = b \cdot c \cdot a$

If you multiply two or three real numbers in any order, their product will always be the same.

Example: $12 \cdot 4 = 4 \cdot 12 = 48$ or $5 \cdot 6 \cdot 4 = 6 \cdot 4 \cdot 5 = 120$

Step-3: Identify the property that the statement illustrates.

Commutative property of Multiplication states that If you multiply two or three real numbers in any order, their product will always be the same.

Property: $a \cdot b = b \cdot a$

So, the expression $19 \cdot 5^{3} = 5^{3} \cdot 19$ represents the Commutative Property of Multiplication.

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Identify the property that the statement illustrates.
$19 \cdot 5^{3} = 5^{3} \cdot 19$

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Commutative Property of Multiplication of Real Numbers:

Step-3: Identify the property that the statement illustrates.

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Identify the property that the statement illustrates. 19 · 53 = 53 · 19

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Commutative Property of Multiplication of Real Numbers:

Step-3: Identify the property that the statement illustrates.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Identify the property that the statement illustrates.
$19 \cdot 5^{3} = 5^{3} \cdot 19$