Problem 71 - Fundamentals of Mathematics

Question

How much bigger is 92 than \(47 ?\)

Step-by-Step Solution

Answer

92 is 45 bigger than 47.

Step 1: Understand the Question

The question asks how much bigger 92 is compared to 47. This involves finding the difference between these two numbers.

Step 2: Set up the Equation

To find out how much bigger one number is than another, we subtract the smaller number from the larger number. This means we need to compute the difference.The equation will be:\[ 92 - 47 \]

Step 3: Perform the Subtraction

Subtract 47 from 92.\[ 92 - 47 = 45 \]The calculation shows that the difference between 92 and 47 is 45.

Key Concepts

Difference

When we talk about the "difference" in mathematics, we are referring to a specific operation: subtraction. The difference measures how far apart two numbers are on the number line. In other words, it tells us how much larger or smaller one number is compared to another.

In this exercise, we're finding how much bigger 92 is than 47. So, the difference between these two numbers is what we're interested in. Calculating this involves subtracting the smaller number from the larger. Once you have completed the subtraction, the result is called the "difference."

Understanding this concept helps us answer questions similar to: "What is the gap between two values?" or "How much more is one number than another?" These are all solved by finding their difference.

Equation Setup

Setting up an equation is the first essential step in solving a subtraction problem. By creating an equation, we can clearly see what operation needs to be performed. In this case, to find how much bigger 92 is than 47, we setup the equation:

• Write down the larger number: 92
• Write down the smaller number: 47
• Decide on the operation, which is subtraction: 92 - 47

This equation is a clear statement of what we need to solve. It represents the process of finding the difference using the subtraction operator. Setting up equations correctly is crucial because it lays the groundwork for accurate mathematical calculations. Once you have your equation, solving it becomes a systematic process.

Mathematical Calculation

The final step in solving a subtraction problem is the mathematical calculation itself. Performing the subtraction is where we execute the operation defined in our equation setup. In our example, we solve the equation:

• Subtract 47 from 92. Line them up vertically if it helps and systematically subtract starting from the right.
• You can think of this as: Taking 47 away from 92. This eliminates any need for borrowing since 92 is significantly larger.

The direct calculation is:\[ 92 - 47 = 45 \]So, the mathematical calculation confirms that the difference is 45. Getting comfortable with these calculations involves practice and understanding how subtraction functions—breaking it down step-by-step ensures there’s no confusion along the way. By taking these steps, math questions become more approachable and easier to tackle.