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Chapter 3: Problem 63

In the following exercises, model the expression to simplify. $$ 7+4 $$

Short Answer

Expert verified
7 + 4 = 11

Step by step solution

01

- Identify the numbers

Locate the numbers given in the expression. In this case, the numbers are 7 and 4.
02

- Setup the addition operation

Recognize that the operation needed to simplify the expression is addition. Begin with the first number: 7.
03

- Add the second number

Add the second number, which is 4, to the first number: 7. This gives the expression: \[ 7 + 4 = 11 \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

addition
Understanding addition is a fundamental concept in arithmetic. Addition involves combining two or more numbers to get a new total. In our example, the expression is simple: we have the numbers 7 and 4, and we want to add them together.
Let's break it down:
  • Identify the numbers we need to add (7 and 4).
  • Set up the addition operation. This means recognizing that we are combining these two numbers.
  • Add the numbers together. Here, we combine 7 and 4 to get the result: 7 + 4 = 11.
The process might seem straightforward, but the ability to efficiently add numbers helps us solve more complex problems down the road. The sum of two numbers is found by counting up from one number by the quantity of the second number.
math modeling
Math modeling is a way to represent real-world problems using mathematical expressions. It's like creating a blueprint of a problem before solving it. Let's see how math modeling applies to our example with addition.
Imagine you have 7 apples and you buy 4 more. To find out how many apples you have now, you can model this real-life situation with the expression 7 + 4. By simplifying this expression, you determine you now have 11 apples.
Here's the step-by-step approach for modeling the expression:
  • Identify the real-world quantities you need to add (in our example, apples).
  • Translate these quantities into numbers (7 apples + 4 apples).
  • Set up the expression (7 + 4) and solve it to get the total (11 apples).
Using math modeling helps us visualize and solve everyday math problems efficiently.
simplification
Simplification is about making an expression easier to understand or solve. In arithmetic, it involves performing the operations to reduce an expression to its simplest form.
Let's go through the simplification process with our given example 7 + 4:
  • Identify the numbers involved in the expression (7 and 4).
  • Recognize the operation (addition).
  • Perform the addition to find the sum (7 + 4 = 11).
  • The simplified form of the expression is just the number 11.
Simplification not only gives us the answer but also helps in understanding and breaking down more complex problems. By simplifying an expression, we make the problem easier to handle and quicker to solve. This skill is crucial in solving math problems as it leads to clearer and more efficient solutions.

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Most popular questions from this chapter

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