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Chapter 2: Q62. (page 102)

Find the value of n. Then name the property used in each step. (Lesson 1-3)

12鈰�n=12鈰�6

Short Answer

Expert verified

The value of n is 6. The main properties used are the multiplicative property of zero and the distributive property.

Step by step solution

01

Step 1. State the property.

The multiplicative property of zero states that for any number a, the product of aand 0is 0.

So, a鈰�0=0.

The distributive property states that multiplication is distributive over addition or subtraction.

So, ab卤c=ab卤ac.

02

Step 2. Write the given equation.

The given equation is 12鈰�n=12鈰�6.

03

Step 3. Solve the given equation.

12鈰�n=12鈰�6 (Given equation)

12鈰�n鈭�12鈰�6=12鈰�6鈭�12鈰�6 (Subtract 12鈰�6from both sides)

12鈰�n鈭�12鈰�6=0 (Simplify)

12鈰�n鈭�6=0 (Distributive property)

n鈭�6=0 (Multiplicative property of zero)

n鈭�6+6=0+6 (Add 6 to both sides)

n=6 (Simplify)

So, the solution of the given equation is n=6and the main properties used are the multiplicative property of zero and the distributive property.

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