Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 22, 2024

Identify the real number property shown in the equation $4 \cdot 0 = 0$ .

STEP 1

Assumptions
1. We are working within the set of real numbers.
2. We are identifying a property of real numbers that is illustrated by the given equation.

STEP 2

Recognize the property illustrated by the equation.
The equation given is: $4 \cdot 0 = 0$

STEP 3

Identify the property.
The property illustrated by the equation is the "Multiplicative Property of Zero" which states that any real number multiplied by zero equals zero.

STEP 4

Write down the property.
The Multiplicative Property of Zero can be expressed as: $\forall a \in \mathbb{R}, a \cdot 0 = 0$
Where $\forall$ means "for all" and $\mathbb{R}$ represents the set of all real numbers.
The property shown in the equation $4 \cdot 0 = 0$ is the Multiplicative Property of Zero.

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