Chapter 1: Q65. (page 32)

Name the property illustrated by the following equation.
$m (4 - 3) = m \cdot 4 - m \cdot 3$

Short Answer

Expert verified

The property is distributive property.

Step by step solution

Step 1- Define the associative property.

The distributive property of subtraction states that multiplying the subtraction of two or more numbers by a number will give the same result as multiplying each number individually by the number and then subtracting the products together.

Mathematically, the property is represented as

$a \cdot (b - c) = a \cdot b - a \cdot c$

Step 2- Step description.

Consider the equation $m (4 - 3) = m \cdot 4 - m \cdot 3$ .

Simplify the equation as follows:

$\begin{matrix} m (4 - 3) = m \cdot 4 - m \cdot 3 \\ m (4 - 3) = 4 m - 3 m \\ m = m \end{matrix}$

Step 3- Step description.

Sincemultiplying the subtraction of two or more numbers by a number will give the same result as multiplying each number individually by the number and then subtracting the products together thus, the property is the distributive property

Therefore, the property is distributive property.

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Name the property illustrated by the following equation.
$m (4 - 3) = m \cdot 4 - m \cdot 3$

Short Answer

Step by step solution

Step 1- Define the associative property.

Step 2- Step description.

Step 3- Step description.

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Name the property illustrated by the following equation.m4-3=m·4-m·3

Short Answer

Step by step solution

Step 1- Define the associative property.

Step 2- Step description.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Name the property illustrated by the following equation.
$m (4 - 3) = m \cdot 4 - m \cdot 3$