Question

Add \(97+148+6+40\) A. 291 B. 281 C. 203 D. 213

Short answer

The correct answer is A (291).

Step-by-step solution

Identify the Numbers

First, identify all the numbers that need to be added, which are: 97, 148, 6, and 40.

Add the First Two Numbers

Start by adding the first two numbers: \(97 + 148\). Calculate as follows: \(97 + 148 = 245\).

Add the Third Number

Next, add the third number to the total from Step 2: \(245 + 6\). Calculate as follows: \(245 + 6 = 251\).

Add the Final Number

Finally, add the last number, 40, to the total from Step 3: \(251 + 40\). Calculate as follows: \(251 + 40 = 291\).

Compare with Given Options

Compare the final sum to the given answer choices: A (291), B (281), C (203), D (213). The correct answer is A (291).

Key concepts

Addition

Addition is one of the four basic operations in arithmetic. It involves combining two or more numbers to get a total. Think of it like putting together all your toys in a box to see how many you have in total. The numbers you add are called 'addends', and the result is referred to as the 'sum'.
When you're adding, you can use numbers as simple as 1 or as complex as 97! It's important to line up digits correctly, especially when working with more than two numbers, to avoid mistakes. In our example exercise, the addends are 97, 148, 6, and 40. The sum is 291.
Understanding addition is fundamental because it sets the stage for learning subtraction, multiplication, and division. Each operation builds upon the concept of addition, showing its foundational role in mathematics.

Problem-Solving

Problem-solving is the art of navigating through questions or challenges to reach a solution. In math, problem-solving requires careful thinking and often involves multiple steps.
To effectively solve a math problem, such as the addition exercise given, you should follow a structured approach.

• Identify the problem: Clearly understand what is being asked, for example, adding a set of numbers.
• Plan the steps: Decide which numbers to add first, and then which comes next.
• Execute the plan: Perform the calculations in the planned order.
• Review your work: Compare your solution with available choices to ensure accuracy.

By practicing these steps, students develop a systematic approach to tackling various math challenges.

Step-by-Step Solution

A step-by-step solution is crucial to understanding complex problems. It breaks down a challenging question into manageable parts, making it easier to tackle each bit at a time. With a detailed approach, like in the exercise presented, you can avoid feeling overwhelmed.
Here's how it works in our exercise:

• Step 1: Identify the numbers to add ( ul>li{97, 148, 6, 40}li> /ul>)
• Step 2: Add the first two numbers ( ul>li{97 + 148 = 245}li> /ul>)
• Step 3: Add the third number to the result from step 2 ( ul>li{245 + 6 = 251}li> /ul>)
• Step 4: Add the final number ( ul>li{251 + 40 = 291}li> /ul>)

This orderly process helps ensure nothing is skipped, and every calculation is verified, providing a reliable way to reach the correct answer.

Number Operations

Number operations are the basic mathematical processes that include addition, subtraction, multiplication, and division. These operations are the building blocks for almost every problem in math.
Understanding each operation helps solve different mathematical tasks and manage numbers effectively. For instance, addition is a straightforward way to combine numbers, like in the demonstrated exercise.
In more complex scenarios, these operations can be used together. For example, adding several numbers, then perhaps later subtracting or multiplying a result from a sum.
Mastering number operations aids in other subjects too, such as science and economics, where numerical data plays an essential role. Regular practice ensures a solid grasp of these essential tools.