what is 12 times a number g ?
The correct answer and explanation is:
Correct Answer:
12 times a number g is written as 12g.
Explanation (300 Words):
In mathematics, the phrase “12 times a number g” refers to multiplication. The word “times” means to multiply, and when it says “a number g”, that simply means the variable g represents an unknown number.
So, “12 times a number g” means: 12×g=12g12 \times g = 12g
This expression represents the product of the number 12 and the variable g. When a number and a variable are multiplied, we write them side-by-side without using a multiplication symbol, which is a standard algebraic practice. So instead of writing 12 × g, we write 12g.
Why do we use variables like g?
In algebra, we use letters (like g, x, y, etc.) to stand in for unknown values. This allows us to write general rules and solve equations that apply to many situations. For example:
- If g = 3, then 12g = 12 × 3 = 36.
- If g = 5, then 12g = 12 × 5 = 60.
The expression 12g doesn’t have a numerical answer unless the value of g is known. So 12g is a simplified algebraic expression, not a final numerical value.
Where is this used?
Multiplying a number by a variable is foundational in algebra and shows up in real-world situations like:
- Total cost: If one item costs $12 and you buy g items, then the total cost is 12g dollars.
- Speed and time: If a car goes 12 km per hour for g hours, the total distance is 12g kilometers.
In conclusion, “12 times a number g” simply means 12g, which is a concise way of expressing multiplication involving an unknown value.