The Correct Answer and Explanation is:
Correct Answer: 178g = 52
Explanation:
To write the sentence “g times 178 is equal to 52” as a mathematical equation, we must translate each part of the sentence into its corresponding mathematical symbol or expression. This process is a foundational skill in algebra, allowing us to represent verbal statements in a concise, symbolic format that can be solved.
First, let’s break down the sentence piece by piece. The term “g” is a variable, which is a letter used in mathematics to represent an unknown number or quantity. The phrase “times 178” indicates the operation of multiplication. In algebra, multiplying a variable like ‘g’ by a number like ‘178’ can be written in a few ways, such as g * 178 or 178 * g. However, the most common and standard convention is to write the number, called the coefficient, directly before the variable without a multiplication symbol. Therefore, “g times 178” is most properly written as “178g”.
Next, we analyze the phrase “is equal to”. This is a direct verbal translation of the equals sign (=). The equals sign is the core of an equation, signifying that the expression on its left side has the exact same value as the expression on its right side. Finally, the number “52” is the value that our first expression equals. It is a constant that will be placed on the right side of the equals sign.
By assembling these translated parts, we construct the complete equation. We take the expression for “g times 178,” which is “178g,” and set it equal to the final value. We use the equals sign for “is equal to” and place “52” on the other side. This results in the final equation: 178g = 52. This equation is a mathematical statement asserting that the product of the number 178 and the unknown value ‘g’ is exactly 52.
