Which property of equality is shown below? If:54 · 30 = g Then:54 · 30 · 26 = g · 26 Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Identify Operation: Identify the operation performed on both sides of the original equation. The original equation is 54 · 30 = g. The operation performed on both sides is multiplication by 26.Apply Operation: Apply the operation to both sides of the equation. The equation becomes 54 · 30 · 26 = g · 26 after multiplying both sides by 26.Property Used: Determine which property of equality is used. Since we multiplied both sides of the equation by the same number (26), we used the Multiplication Property of Equality.

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Which property of equality is shown below? $\newline$ If: $54 \cdot 30 = g$ $\newline$ Then: $54 \cdot 30 \cdot 26 = g \cdot 26$ $\newline$ Choices: $\newline$ (A) Addition Property of Equality $\newline$ (B) Subtraction Property of Equality $\newline$ (C) Multiplication Property of Equality $\newline$ (D) Division Property of Equality

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Math Problems

Algebra 1

Properties of equality

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Q. Which property of equality is shown below?

\newline

If:

54 \cdot 30 = g

\newline

Then:

54 \cdot 30 \cdot 26 = g \cdot 26

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Identify Operation: Identify the operation performed on both sides of the original equation. $\newline$ The original equation is $54 \cdot 30 = g$ . The operation performed on both sides is multiplication by $26$ .
Apply Operation: Apply the operation to both sides of the equation. $\newline$ The equation becomes $54 \cdot 30 \cdot 26 = g \cdot 26$ after multiplying both sides by $26$ .
Property Used: Determine which property of equality is used. $\newline$ Since we multiplied both sides of the equation by the same number $26$ , we used the Multiplication Property of Equality.